1746:, published in 1890. Alfred Marshall invented price elasticity of demand only four years after he had invented the concept of elasticity. He used Cournot's basic creating of the demand curve to get the equation for price elasticity of demand. He described price elasticity of demand as thus: "And we may say generally:— the elasticity (or responsiveness) of demand in a market is great or small according as the amount demanded increases much or little for a given fall in price, and diminishes much or little for a given rise in price". He reasons this since "the only universal law as to a person's desire for a commodity is that it diminishes ... but this diminution may be slow or rapid. If it is slow... a small fall in price will cause a comparatively large increase in his purchases. But if it is rapid, a small fall in price will cause only a very small increase in his purchases. In the former case... the elasticity of his wants, we may say, is great. In the latter case... the elasticity of his demand is small." Mathematically, the Marshallian PED was based on a point-price definition, using differential calculus to calculate elasticities.
2368:
343:
demand is inelastic, the good's demand is relatively insensitive to price, with quantity changing less than price. If demand is unitary elastic, the quantity falls by exactly the percentage that the price rises. Two important special cases are perfectly elastic demand (= ∞), where even a small rise in price reduces the quantity demanded to zero; and perfectly inelastic demand (= 0), where a rise in price leaves the quantity unchanged. The above measure of elasticity is sometimes referred to as the
2462:= 0), changes in the price do not affect the quantity demanded for the good; raising prices will always cause total revenue to increase. Goods necessary to survival can be classified here; a rational person will be willing to pay anything for a good if the alternative is death. For example, a person in the desert weak and dying of thirst would easily give all the money in his wallet, no matter how much, for a bottle of water if he would otherwise die. His demand is not contingent on the price.
2557:
2438:
be. Elasticity provides the answer: The percentage change in total revenue is approximately equal to the percentage change in quantity demanded plus the percentage change in price. (One change will be positive, the other negative.) The percentage change in quantity is related to the percentage change in price by elasticity: hence the percentage change in revenue can be calculated by knowing the elasticity and the percentage change in price alone.
6838:
6322:
6311:
1012:
6826:
2239:
2582:, by definition consumers have an infinite ability to switch to alternatives if the price increases, so they would stop buying the good or service in question completely—quantity demanded would fall to zero. As a result, firms cannot pass on any part of the tax by raising prices, so they would be forced to pay all of it themselves.
1718:
90:), but it falls more for some than for others. The price elasticity gives the percentage change in quantity demanded when there is a one percent increase in price, holding everything else constant. If the elasticity is −2, that means a one percent price rise leads to a two percent decline in quantity demanded. Other
2578:, by definition consumers have no alternative to purchasing the good or service if the price increases, so the quantity demanded would remain constant. Hence, suppliers can increase the price by the full amount of the tax, and the consumer would end up paying the entirety. In the opposite case, when demand is
758:
3474:
Though elasticities for most demand schedules vary depending on price, they can be modeled assuming constant elasticity. Using this method, the elasticities for various goods—intended to act as examples of the theory described above—are as follows. For suggestions on why these goods and services may
1773:
The broader the definition of a good (or service), the lower the elasticity. For example, Company X's fish and chips would tend to have a relatively high elasticity of demand if a significant number of substitutes are available, whereas food in general would have an extremely low elasticity of demand
733:
Arc elasticity was introduced very early on by Hugh Dalton. It is very similar to an ordinary elasticity problem, but it adds in the index number problem. Arc
Elasticity is a second solution to the asymmetry problem of having an elasticity dependent on which of the two given points on a demand curve
317:
is how much it changed. In other words, we can say that the price elasticity of demand is the percentage change in demand for a commodity due to a given percentage change in the price. If the quantity demanded falls 20 tons from an initial 200 tons after the price rises $ 5 from an initial price of $
334:
goods. Since the price elasticity of demand is negative for the vast majority of goods and services (unlike most other elasticities, which take both positive and negative values depending on the good), economists often leave off the word "negative" or the minus sign and refer to the price elasticity
2437:
For inelastic goods, because of the inverse nature of the relationship between price and quantity demanded (i.e., the law of demand), the two effects affect total revenue in opposite directions. But in determining whether to increase or decrease prices, a firm needs to know what the net effect will
1797:
For most goods, the longer a price change holds, the higher the elasticity is likely to be, as more and more consumers find they have the time and inclination to search for substitutes. When fuel prices increase suddenly, for instance, consumers may still fill up their empty tanks in the short run,
1780:
The higher the percentage of the consumer's income that the product's price represents, the higher the elasticity tends to be, as people will pay more attention when purchasing the good because of its cost; The income effect is substantial. When the goods represent only a negligible portion of the
1030:
The point elasticity of demand method is used to determine change in demand within the same demand curve, basically a very small amount of change in demand is measured through point elasticity. One way to avoid the accuracy problem described above is to minimize the difference between the starting
101:
Price elasticities are negative except in special cases. If a good is said to have an elasticity of 2, it almost always means that the good has an elasticity of −2 according to the formal definition. The phrase "more elastic" means that a good's elasticity has greater magnitude, ignoring the sign.
1754:
The overriding factor in determining the elasticity is the willingness and ability of consumers after a price change to postpone immediate consumption decisions concerning the good and to search for substitutes ("wait and look"). A number of factors can thus affect the elasticity of demand for a
342:
Depending on its elasticity, a good is said to have elastic demand (> 1), inelastic demand (< 1), or unitary elastic demand (= 1). If demand is elastic, the quantity demanded is very sensitive to price, e.g. when a 1% rise in price generates a 10% decrease in quantity. If
2626:
If one point elasticity is used to model demand changes over a finite range of prices, elasticity is implicitly assumed constant with respect to price over the finite price range. The equation defining price elasticity for one product can be rewritten (omitting secondary variables) as a linear
581:
between any two values depends on which one is chosen as the starting value and which as the ending value. For example, suppose that when the price rises from $ 10 to $ 16, the quantity falls from 100 units to 80. This is a price increase of 60% and a quantity decline of 20%, an elasticity of
2371:
A set of graphs shows the relationship between demand and revenue (PQ) for the specific case of a linear demand curve. As price decreases in the elastic range, the revenue increases, but in the inelastic range, revenue falls. Revenue is highest at the quantity where the elasticity equals
2352:
On a graph with both a demand curve and a marginal revenue curve, demand will be elastic at all quantities where marginal revenue is positive. Demand is unit elastic at the quantity where marginal revenue is zero. Demand is inelastic at every quantity where marginal revenue is negative.
2077:
122:
when the elasticity is greater than one. A good with an elasticity of −2 has elastic demand because quantity demanded falls twice as much as the price increase; an elasticity of −0.5 has inelastic demand because the change in quantity demanded change is half of the price increase.
3133:
Constant elasticities can predict optimal pricing only by computing point elasticities at several points, to determine the price at which point elasticity equals −1 (or, for multiple products, the set of prices at which the point elasticity matrix is the negative identity matrix).
1766:
available, the higher the elasticity is likely to be, as people can easily switch from one good to another if an even minor price change is made; There is a strong substitution effect. If no close substitutes are available, the substitution effect will be small and the demand
2069:
2532:), any increase in the price, no matter how small, will cause the quantity demanded for the good to drop to zero. Hence, when the price is raised, the total revenue falls to zero. This situation is typical for goods that have their value defined by law (such as
1017:
This method for computing the price elasticity is also known as the "midpoints formula", because the average price and average quantity are the coordinates of the midpoint of the straight line between the two given points. This formula is an application of the
347:
elasticity of demand for a good, i.e., the elasticity of demand with respect to the good's own price, in order to distinguish it from the elasticity of demand for that good with respect to the change in the price of some other good, i.e., an independent,
1516:
1022:. However, because this formula implicitly assumes the section of the demand curve between those points is linear, the greater the curvature of the actual demand curve is over that range, the worse this approximation of its elasticity will be.
321:
The price elasticity of demand is ordinarily negative because quantity demanded falls when price rises, as described by the "law of demand". Two rare classes of goods which have elasticity greater than 0 (consumers buy more if the price is
2347:
3433:
1007:{\displaystyle E_{d}={\frac {\left({\frac {P_{1}+P_{2}}{2}}\right)}{\left({\frac {Q_{d_{1}}+Q_{d_{2}}}{2}}\right)}}\times {\frac {\Delta Q_{d}}{\Delta P}}={\frac {P_{1}+P_{2}}{Q_{d_{1}}+Q_{d_{2}}}}\times {\frac {\Delta Q_{d}}{\Delta P}}}
2536:); if a five-dollar bill were sold for anything more than five dollars, nobody would buy it , so demand is zero (assuming that the bill does not have a misprint or something else which would cause it to have its own inherent value).
1121:
3045:
447:
As the size of the price change gets bigger, the elasticity definition becomes less reliable for a combination of two reasons. First, a good's elasticity is not necessarily constant; it varies at different points along the
3458:
Various research methods are used to calculate the price elasticities in real life, including analysis of historic sales data, both public and private, and use of present-day surveys of customers' preferences to build up
2547:
necessarily constant over all price ranges. The linear demand curve in the accompanying diagram illustrates that changes in price also change the elasticity: the price elasticity is different at every point on the curve.
2234:{\displaystyle E_{d}={\dfrac {\partial Q}{\partial P}}\cdot {\dfrac {P}{Q}}\Rightarrow E_{d}\cdot {\frac {Q}{P}}={\frac {\partial Q}{\partial P}}\Rightarrow {\frac {P}{E_{d}\cdot Q}}={\frac {\partial P}{\partial Q}}}
2605:
proportion of the tax burden. In the end the whole tax burden is carried by individual households since they are the ultimate owners of the means of production that the firm utilises (see
Circular flow of income).
226:
2609:
PED and PES can also have an effect on the deadweight loss associated with a tax regime. When PED, PES or both are inelastic, the deadweight loss is lower than a comparable scenario with higher elasticity.
2897:
1925:
456:, the price elasticity is not constant even along a linear demand curve, but rather varies along the curve. A linear demand curve's slope is constant, to be sure, but the elasticity can change even if
1172:
643:
for that part of the demand curve. If the price falls from $ 16 to $ 10 and the quantity rises from 80 units to 100, however, the price decline is 37.5% and the quantity gain is 25%, an elasticity of
3295:
1962:
742:
of the two quantities, rather than just the change relative to one point or the other. Loosely speaking, this gives an "average" elasticity for the section of the actual demand curve—i.e., the
443:
5647:
1481:
1415:
641:
153:
of the percentage change in quantity demanded to the percentage change in price of particular commodity. The formula for the coefficient of price elasticity of demand for a good is:
1371:
2415:
1713:{\displaystyle E_{x_{\ell },p_{k}}={\frac {\partial x_{\ell }(p,w)}{\partial p_{k}}}\cdot {\frac {p_{k}}{x_{\ell }(p,w)}}={\frac {\partial \log x_{\ell }(p,w)}{\partial \log p_{k}}}}
702:
6730:
3438:
Excel models are available that compute constant elasticity, and use non-constant elasticity to estimate prices that optimize revenue or profit for one product or several products.
2752:
4710:
Lehner, S.; Peer, S. (2019), The price elasticity of parking: A meta-analysis, Transportation
Research Part A: Policy and Practice, Volume 121, March 2019, pages 177−191" web|url=
1312:
2427:
For inelastic goods, an increase in unit price will tend to increase revenue, while a decrease in price will tend to decrease revenue. (The effect is reversed for elastic goods.)
1437:
488:
2672:
4276:
118:
when the elasticity is less than one in absolute value: that is, changes in price have a relatively small effect on the quantity demanded. Demand for a good is said to be
1272:
3471:, under conditions of preference independence. This approach has been empirically validated using bundles of goods (e.g. food, healthcare, education, recreation, etc.).
2574:
can be used to assess where the incidence (or "burden") of a per-unit tax is falling or to predict where it will fall if the tax is imposed. For example, when demand is
1229:
532:
3072:
3446:
In most situations, such as those with nonzero variable costs, revenue-maximizing prices are not profit-maximizing prices. For these situations, using a technique for
315:
272:
4301:
3192:
3108:
1810:
such as the cars themselves, however; eventually, it may become necessary for consumers to replace their present cars, so one would expect demand to be less elastic.
3306:
2923:
2376:
A firm considering a price change must know what effect the change in price will have on total revenue. Revenue is simply the product of unit price times quantity:
1508:
82:
2540:
Hence, as the accompanying diagram shows, total revenue is maximized at the combination of price and quantity demanded where the elasticity of demand is unitary.
3212:
3160:
3128:
2816:
2796:
2772:
2478:< 0), the percentage change in quantity demanded is smaller than that in price. Hence, when the price is raised, the total revenue increases, and vice versa.
2247:
572:
552:
292:
249:
1045:
4550:
Algunaibet, Ibrahim; Matar, Walid (2018). "The responsiveness of fuel demand to gasoline price change in passenger transport: a case study of Saudi Arabia".
4438:
3467:(a ranking of users' preferences which can then be statistically analysed) may be used. Approximate estimates of price elasticity can be calculated from the
2510:< −1), the percentage change in quantity demanded is greater than that in price. Hence, when the price is raised, the total revenue falls, and vice versa.
6755:
2928:
6668:
4969:
Brownell, Kelly D.; Farley, Thomas; Willett, Walter C.; Popkin, Barry M.; Chaloupka, Frank J.; Thompson, Joseph W.; Ludwig, David S. (15 October 2009).
6192:
3078:
This form of the equations shows that point elasticities assumed constant over a price range cannot determine what prices generate maximum values of
2597:
the demand compared to supply, the heavier the burden on consumers. The general principle is that the party (i.e., consumers or producers) that has
6700:
6391:
5691:
4114:
1826:
Where the purchaser does not directly pay for the good they consume, such as with corporate expense accounts, demand is likely to be more inelastic.
5662:
1774:
because no substitutes exist. Specific foodstuffs (ice cream, meat, spinach) or families of them (dairy, meat, sea products) may be more elastic.
2589:
elastic or relatively inelastic, that is, somewhere between the extreme cases of perfect elasticity or inelasticity. More generally, then, the
5623:
5595:
5574:
5548:
5520:
5492:
5471:
5450:
5424:
5403:
5384:
5365:
5346:
5327:
5308:
5279:
5249:
5223:
5202:
5174:
5153:
5134:
5113:
5094:
5040:
4959:
4933:
3074:
are constants; and appearance of a letter index as both an upper index and a lower index in the same term implies summation over that index.
159:
6358:
339:
terms). They will say "Yachts have an elasticity of two" meaning the elasticity is −2. This is a common source of confusion for students.
1848:. This is because consumers treat such goods as necessities and hence are forced to purchase them, despite even significant price changes.
1820:—either out of tradition or because of proprietary barriers—can override sensitivity to price changes, resulting in more inelastic demand.
86:) is a measure of how sensitive the quantity demanded is to its price. When the price rises, quantity demanded falls for almost any good (
6760:
4363:"Relationship between the Uncompensated Price Elasticity and the Income Elasticity of Demand under Conditions of Additive Preferences"
1742:
2433:
An increase in unit price will tend to lead to fewer units sold, while a decrease in unit price will tend to lead to more units sold.
1729:
6652:
4327:
3823:
2824:
4280:
1787:
The more necessary a good is, the lower the elasticity, as people will attempt to buy it no matter the price, such as the case of
6406:
4824:
734:
is chosen as the "original" point will and which as the "new" one is to compute the percentage change in P and Q relative to the
357:
138:
2494:= −1), the percentage change in quantity demanded is equal to that in price, so a change in price will not affect total revenue.
1129:
149:
The variation in demand in response to a variation in price is called price elasticity of demand. It may also be defined as the
6862:
6801:
6735:
2446:
2064:{\displaystyle R'={\frac {\partial R}{\partial Q}}={\frac {\partial }{\partial Q}}(P\,Q)=P+Q\,{\frac {\partial P}{\partial Q}}}
129:
Revenue is maximized when price is set so that the elasticity is exactly one. The good's elasticity can be used to predict the
1863:
6750:
3220:
452:
because a 1% change in price has a quantity effect that may depend on whether the initial price is high or low. Contrary to
363:. If a 1% rise in the price of gasoline causes a 0.5% fall in the quantity of cars demanded, the cross-price elasticity is
4305:
2560:
When demand is more inelastic than supply, consumers will bear a greater proportion of the tax burden than producers will.
711:
Two refinements of the definition of elasticity are used to deal with these shortcomings of the basic elasticity formula:
453:
5883:
5684:
3787:
6830:
6775:
6765:
6678:
6584:
6177:
6129:
5817:
3758:
3468:
1803:
1039:
to calculate the elasticity for an infinitesimal change in price and quantity at any given point on the demand curve:
366:
95:
39:
31:
6647:
5839:
5827:
5812:
4472:
Chaloupka, Frank J.; Grossman, Michael; Saffer, Henry (2002); Hogarty and
Elzinga (1972) cited by Douglas (1993).
3763:
3753:
2571:
318:
100, then the quantity demanded has fallen 10% and the price has risen 5%, so the elasticity is (−10%)/(+5%) = −2.
46:
35:
5782:
4765:
4442:
1442:
1376:
585:
6557:
6381:
6257:
5733:
4501:
1798:
but when prices remain high over several years, more consumers will reduce their demand for fuel by switching to
6562:
6351:
5923:
5792:
5652:
2618:
Among the most common applications of price elasticity is to determine prices that maximize revenue or profit.
4791:"Price and Income Elasticity of Demand for Broadband Subscriptions: A Cross-Sectional Model of OECD Countries"
4668:
4617:
1317:
2382:
646:
6504:
6325:
6222:
6217:
6167:
6040:
5918:
5677:
2367:
1126:
In other words, it is equal to the absolute value of the first derivative of quantity with respect to price
5261:
Estimates of the Price
Elasticity of Demand for Casino Gaming and the Potential Effects of Casino Tax Hikes
2683:
6673:
6631:
6626:
6509:
6386:
6242:
6202:
6197:
5979:
5950:
5807:
5729:
3142:
If the definition of price elasticity is extended to yield a quadratic relationship between demand units (
2528:
1280:
91:
1420:
6740:
6604:
6443:
6187:
6172:
5888:
5013:
4118:
3809:
1036:
490:
is constant. There does exist a nonlinear shape of demand curve along which the elasticity is constant:
752:, in this case with respect to the price of the good. The arc elasticity is defined mathematically as:
459:
6770:
6725:
6693:
6688:
6614:
6589:
6545:
6237:
6157:
6089:
6004:
5898:
5834:
4516:
4384:
2633:
1732:
The illustration that accompanied
Marshall's original definition of elasticity, the ratio of PT to Pt
1277:
In terms of partial-differential calculus, point elasticity of demand can be defined as follows: let
2593:
the elasticity of demand compared to PES, the heavier the burden on producers; conversely, the more
6841:
6619:
6450:
6401:
6344:
6252:
6079:
5928:
5871:
5714:
4790:
3447:
6745:
6683:
6471:
6460:
6438:
6433:
6422:
6162:
6108:
6035:
5945:
5903:
5893:
5861:
5856:
5802:
5797:
4900:
4641:
4567:
4532:
4374:
3460:
2362:
1836:
in nature tend to have an inelastic PED (absolute value of PED < 1). Examples of such include
1234:
349:
134:
1192:
493:
5212:
Gwartney, James D.; Stroup, Richard L.; Sobel, Russell S.; David MacPherson (14 January 2008).
3050:
6720:
6594:
6487:
6396:
6295:
6283:
6262:
6232:
6094:
6018:
5974:
5619:
5591:
5570:
5544:
5516:
5488:
5467:
5446:
5420:
5399:
5380:
5361:
5342:
5323:
5304:
5296:
5275:
5245:
5219:
5198:
5170:
5149:
5130:
5109:
5090:
5073:
5036:
5000:
4955:
4929:
4420:
4402:
3874:
Gwartney, Yaw Bugyei-Kyei.James D.; Stroup, Richard L.; Sobel, Russell S. (2008). p. 425.
3819:
3768:
3464:
3428:{\displaystyle LQ_{\ell }=K_{\ell }+E1_{\ell ,k}\times LP^{k}+E2_{\ell ,k}\times (LP^{k})^{2}}
705:
297:
254:
126:
At an elasticity of 0 consumption would not change at all, in spite of any price increases.
6872:
6796:
6791:
6577:
6572:
6455:
6411:
6247:
6227:
6134:
6084:
6055:
5913:
5878:
5775:
5753:
5269:
5063:
4990:
4982:
4890:
4859:
4684:
4633:
4559:
4524:
4410:
4392:
3165:
3081:
2441:
As a result, the relationship between elasticity and revenue can be described for any good:
1938:
1807:
130:
4201:
2908:
1486:
60:
6867:
6806:
6567:
6315:
5787:
5724:
3527:
2342:{\displaystyle R'=P+Q\cdot {\frac {P}{E_{d}\cdot Q}}=P\,\left(1+{\frac {1}{E_{d}}}\right)}
1845:
1763:
1737:
1186:
1019:
353:
1116:{\displaystyle E_{d}={\frac {\mathrm {d} Q_{d}}{\mathrm {d} P}}\times {\frac {P}{Q_{d}}}}
133:
on that good. Various research methods are used to determine price elasticity, including
4520:
4481:
Pindyck; Rubinfeld (2001). p. 381.; Steven
Morrison in Duetsch (1993), p. 231.
4388:
3552:−0.085 to −0.13 (non-linear with price change in the short-run for Saudi Arabia in 2013)
6811:
6290:
6030:
5989:
5908:
5700:
5068:
5051:
4995:
4970:
4415:
4362:
3748:
3197:
3145:
3113:
2801:
2781:
2757:
748:
728:
557:
537:
336:
277:
234:
4828:
3475:
have the elasticity shown, see the above section on determinants of price elasticity.
2556:
6856:
6550:
6499:
6212:
6112:
6103:
6074:
6060:
6050:
5994:
5758:
5748:
5738:
5192:
5124:
4904:
4850:
Cleasby, R. C. G.; Ortmann, G. F. (1991). "Demand
Analysis of Eggs in South Africa".
4645:
4571:
3815:
3040:{\displaystyle k=1,\dotsc ,n,\,\,LQ_{\ell }=\ln(Q_{\ell }),LP^{\ell }=\ln(P^{\ell })}
2565:
2533:
1817:
111:
87:
4536:
6599:
6182:
6014:
6009:
5743:
5461:
3676:
449:
4863:
4688:
1031:
and ending prices and quantities. This is the approach taken in the definition of
5613:
5585:
5538:
5510:
5482:
5414:
5213:
5164:
4923:
4397:
17:
6482:
6207:
6119:
5999:
5851:
5765:
4672:
4528:
331:
327:
110:
are two classes of goods which have positive elasticity, rare exceptions to the
107:
103:
5657:
746:
of the curve—between the two points. As a result, this measure is known as the
6367:
5967:
5719:
4563:
3580:
578:
4971:"The Public Health and Economic Benefits of Taxing Sugar-Sweetened Beverages"
4406:
1185:). However, the point elasticity can be computed only if the formula for the
6537:
6278:
6045:
5962:
5957:
5770:
4711:
3669:
1837:
1833:
5077:
5004:
4986:
4424:
6493:
6310:
5052:"The effects of price on alcohol consumption and alcohol-related problems"
4622:"Per un pugno di dollari: A first look at the price elasticity of patents"
4621:
4069:
Schumpeter, Joseph Alois; Schumpeter, Elizabeth Boody (1994). p. 959.
2601:
opportunities to avoid the tax by switching to alternatives will bear the
1728:
6609:
6532:
6070:
6065:
5940:
4637:
94:
measure how the quantity demanded changes with other variables (e.g. the
4766:"Valuing the Effect of Regulation on New Services in Telecommunications"
4722:
Davis, A.; Nichols, M. (2013), The Price
Elasticity of Marijuana Demand"
6124:
6023:
5935:
4895:
4878:
1799:
1788:
221:{\displaystyle E_{\langle P\rangle }={\frac {\Delta Q/Q}{\Delta P/P}}}
6514:
6099:
4731:
Brownell, Kelly D.; Farley, Thomas; Willett, Walter C. et al. (2009).
1841:
1781:
budget the income effect will be insignificant and demand inelastic,
4879:"Tuition Fees and University Enrolment: A Meta-Regression Analysis"
4502:"Demand for gasoline is more price-inelastic than commonly thought"
4379:
1736:
Together with the concept of an economic "elasticity" coefficient,
5984:
5866:
5846:
2555:
2366:
1727:
150:
30:"Elasticity of demand" redirects here. For income elasticity, see
5669:
4607:
Goldman and
Grossman (1978) cited in Feldstein (1999), p. 99
4138:
4136:
3162:) and price, then it is possible to compute prices that maximize
6141:
3214:, and revenue. The fundamental equation for one product becomes
6340:
5673:
5481:
Schumpeter, Joseph Alois; Schumpeter, Elizabeth Boody (1994).
5050:
Chaloupka, Frank J.; Grossman, Michael; Saffer, Henry (2002).
6336:
3110:; similarly they cannot predict prices that generate maximum
2892:{\displaystyle LQ_{\ell }=K_{\ell }+E_{\ell ,k}\times LP^{k}}
1802:
or public transportation, investing in vehicles with greater
3478:
3300:
and the corresponding equation for several products becomes
4877:
Havranek, Tomas; Irsova, Zuzana; Zeynalova, Olesia (2018).
577:
Second, percentage changes are not symmetric; instead, the
45:"Price elasticity" redirects here. Not to be confused with
4598:
Heilbrun and Gray (1993, p. 94) cited in Vogel (2001)
1167:{\displaystyle {\frac {\mathrm {d} Q_{d}}{\mathrm {d} P}}}
704:
for the same part of the curve. This is an example of the
5648:
A Lesson on Elasticity in Four Parts, Youtube, Jodi Beggs
5356:
Parkin, Michael; Powell, Melanie; Matthews, Kent (2002).
4701:
Goodwin; Nelson; Ackerman; Weisskopf (2009). p. 124.
4302:"Pricing Tests and Price Elasticity for several products"
4233:
Goodwin, Nelson, Ackerman & Weisskopf (2009). p. 122.
4439:"Constant Elasticity Demand and Supply Curves (Q=A*P^c)"
1920:{\displaystyle R'=P\,\left(1+{\dfrac {1}{E_{d}}}\right)}
6731:
International Conference on Population and Development
5129:(3rd ed.). Homewood, Illinois: Richard D. Irwin.
4751:
4749:
4500:
Havranek, Tomas; Irsova, Zuzana; Janda, Karel (2012).
3290:{\displaystyle LQ=K+E_{1}\times LP+E_{2}\times LP^{2}}
2420:
Generally, any change in price will have two effects:
1740:
is credited with defining "elasticity of demand" in
1373:
as a function of parameters price and wealth, and let
5445:(3rd ed.). Glenview, Illinois: Scott, Foresman.
5377:
Microeconomic Theory & Applications with Calculus
4266:
Wall, Stuart; Griffiths, Alan (2008). pp. 57–58.
3985:
Wall, Stuart; Griffiths, Alan (2008). pp. 53–54.
3309:
3223:
3200:
3168:
3148:
3116:
3084:
3053:
2931:
2911:
2827:
2804:
2784:
2760:
2686:
2636:
2385:
2250:
2120:
2095:
2080:
1965:
1894:
1866:
1519:
1489:
1446:
1445:
1424:
1423:
1380:
1379:
1320:
1284:
1283:
1237:
1195:
1132:
1048:
761:
649:
588:
560:
540:
496:
462:
369:
300:
280:
257:
237:
162:
63:
5012:
Browning, Edgar K.; Browning, Jacquelene M. (1992).
4277:"Pricing Tests and Price Elasticity for one product"
1231:, is known so its derivative with respect to price,
6784:
6709:
6661:
6640:
6523:
6469:
6420:
6374:
6271:
6150:
5707:
4755:
Barnett and Crandall in Duetsch (1993), p. 147
4328:"Empirical Estimation of Demand: Top 10 Techniques"
4202:"AP Microeconomics Review: Elasticity Coefficients"
3463:capable of modelling such changes. Alternatively,
4827:. Agriculture and Agri-Food Canada. Archived from
4673:"On the price elasticity of demand for trademarks"
4620:; van Pottelsberghe de la Potterie, Bruno (2007).
4142:Goodwin, Nelson, Ackerman, & Weisskopf (2009).
3993:
3991:
3427:
3289:
3206:
3186:
3154:
3122:
3102:
3066:
3039:
2917:
2891:
2810:
2790:
2778:Similarly, the equations for cross elasticity for
2766:
2746:
2666:
2409:
2341:
2233:
2063:
1919:
1712:
1502:
1475:
1431:
1409:
1365:
1306:
1266:
1223:
1166:
1115:
1006:
696:
635:
566:
546:
526:
482:
437:
309:
294:is the initial quantity of the good demanded, and
286:
266:
243:
220:
76:
5663:Approx. PED of Various Home-Consumed Foods (U.K.)
5318:McConnell, Campbell R.; Brue, Stanley L. (1990).
4585:
4583:
4581:
1806:or taking other measures. This does not hold for
438:{\displaystyle E_{cg}^{d}=(-0.5\%)/(+1\%)=-0.5.}
5299:; Winston, Michael D.; Green, Jerry R. (1995).
5108:(5th ed.). Albany, NY: Delmar Publishers.
4490:Richard T. Rogers in Duetsch (1993), p. 6.
4094:Parkin; Powell; Matthews (2002). pp. 77–9.
3850:Parkin; Powell; Matthews (2002). pp. 74–5.
3788:"Price elasticity of demand | Economics Online"
356:. That two-good type of elasticity is called a
4162:
4160:
6352:
5685:
5337:Negbennebor (2001). "The Freedom to Choose".
5320:Economics: Principles, Problems, and Policies
5191:Goodwin; Nelson; Ackerman; Weisskopf (2009).
4250:
4248:
3870:
3868:
3858:
3856:
8:
5569:(5th ed.). Cambridge University Press.
3940:Parkin; Powell; Matthews (2002). p .75.
3442:Limitations of revenue-maximizing strategies
1476:{\displaystyle \displaystyle x_{\ell }(p,w)}
1410:{\displaystyle \displaystyle x_{\ell }(p,w)}
636:{\displaystyle (-20\%)/(+60\%)\approx -0.33}
174:
168:
6756:United Nations world population conferences
4883:Oxford Bulletin of Economics and Statistics
4739:
4737:
4108:
4106:
4104:
4102:
4100:
3969:
3967:
3936:
3934:
3138:Non-constant elasticity and optimal pricing
2570:Demand elasticity, in combination with the
251:is the initial price of the good demanded,
6669:Population and housing censuses by country
6359:
6345:
6337:
5692:
5678:
5670:
4174:
4172:
2445:When the price elasticity of demand for a
5441:Ruffin, Roy J.; Gregory, Paul R. (1988).
5067:
4994:
4894:
4712:https://doi.org/10.1016/j.tra.2019.01.014
4414:
4396:
4378:
4262:
4260:
4090:
4088:
4086:
4084:
3961:Ruffin; Gregory (1988). pp. 518–519.
3957:
3955:
3419:
3409:
3384:
3368:
3346:
3330:
3317:
3308:
3281:
3265:
3243:
3222:
3199:
3167:
3147:
3115:
3083:
3058:
3052:
3028:
3006:
2987:
2965:
2957:
2956:
2930:
2910:
2883:
2861:
2848:
2835:
2826:
2803:
2783:
2759:
2685:
2635:
2585:In practice, demand is likely to be only
2401:
2386:
2384:
2326:
2317:
2305:
2284:
2274:
2249:
2211:
2193:
2183:
2160:
2147:
2138:
2119:
2094:
2085:
2079:
2041:
2040:
2021:
2000:
1977:
1964:
1903:
1893:
1881:
1865:
1701:
1665:
1649:
1622:
1611:
1605:
1593:
1563:
1553:
1542:
1529:
1524:
1518:
1494:
1488:
1451:
1444:
1422:
1385:
1378:
1357:
1338:
1325:
1319:
1282:
1252:
1246:
1238:
1236:
1200:
1194:
1153:
1145:
1136:
1133:
1131:
1105:
1096:
1082:
1074:
1065:
1062:
1053:
1047:
987:
977:
963:
958:
943:
938:
926:
913:
906:
886:
876:
853:
848:
833:
828:
821:
801:
788:
781:
775:
766:
760:
665:
648:
604:
587:
559:
539:
514:
510:
495:
469:
461:
406:
382:
374:
368:
299:
279:
256:
236:
207:
191:
182:
167:
161:
68:
62:
6392:Estimates of historical world population
5653:Price Elasticity Models and Optimization
5322:(11th ed.). New York: McGraw-Hill.
4186:
4184:
4150:
4148:
3997:McConnell;Brue (1990). pp. 434–435.
3973:Ferguson, C.E. (1972). pp. 100–101.
1366:{\displaystyle x_{1},x_{2},\dots ,x_{L}}
335:of demand as a positive value (i.e., in
137:, analysis of historical sales data and
5612:Wessels, Walter J. (1 September 2000).
5089:. Englewood Cliffs, NJ: Prentice Hall.
4024:Wessels, Walter J. (2000). p. 296.
3981:
3979:
3837:
3835:
3779:
2622:Constant elasticity and optimal pricing
2513:When the price elasticity of demand is
2497:When the price elasticity of demand is
2481:When the price elasticity of demand is
2465:When the price elasticity of demand is
2410:{\displaystyle {\text{Revenue}}=PQ_{d}}
697:{\displaystyle (+25\%)/(-37.5\%)=-0.67}
5658:Approx. PED of Various Products (U.S.)
5584:Wall, Stuart; Griffiths, Alan (2008).
4825:"Profile of The Canadian Egg Industry"
3631:−0.25 to −0.40 (international market)
3498:−0.3 or −0.7 to −0.9 as of 1972 (beer)
5587:Economics for Business and Management
5303:. New York: Oxford University Press.
5015:Microeconomic Theory and Applications
4922:Arnold, Roger A. (17 December 2008).
4814:Krugman and Wells (2009) p. 147.
4166:Gillespie, Andrew (2007). p. 48.
3928:Economics, Tenth edition, John Sloman
3883:Gillespie, Andrew (2007). p. 57.
3862:Gillespie, Andrew (2007). p. 43.
3811:Microeconomic theory and applications
3565:live performing arts (theater, etc.)
2747:{\displaystyle LQ=\ln(Q),LP=\ln(P),E}
7:
6825:
5274:. Library of Economics and Liberty.
5215:Economics: Private and Public Choice
4743:Ayers; Collinge (2003). p. 120.
4006:Ferguson, C.E. (1972). p. 101n.
3919:McConnell; Brue (1990). p. 436.
3892:Ruffin; Gregory (1988). p. 524.
2798:products can be written as a set of
1439:. The elasticity of demand for good
1307:{\displaystyle \displaystyle x(p,w)}
6761:Voluntary Human Extinction Movement
5537:Taylor, John B. (1 February 2006).
3949:McConnell; Brue (1990). p. 437
3910:Ruffin; Gregory (1988). p. 520
3901:Ferguson, C.E. (1972). p. 106.
1432:{\displaystyle \displaystyle \ell }
6248:Microfoundations of macroeconomics
5163:Gillespie, Andrew (1 March 2007).
4060:Marshall, Alfred (1890). III.IV.1.
4051:Marshall, Alfred (1890). III.IV.2.
4033:Mas-Colell; Winston; Green (1995).
2222:
2214:
2171:
2163:
2106:
2098:
2052:
2044:
2006:
2002:
1988:
1980:
1688:
1652:
1586:
1556:
1154:
1137:
1083:
1066:
995:
980:
894:
879:
679:
659:
618:
598:
474:
463:
420:
400:
301:
258:
201:
185:
114:. Demand for a good is said to be
25:
6653:Population and Development Review
5590:. Financial Times Prentice Hall.
5515:. Financial Times Prentice Hall.
4361:Sabatelli, Lorenzo (2016-03-21).
4351:Png, Ivan (1999). pp. 79–80.
1174:multiplied by the point's price (
483:{\displaystyle \Delta P/\Delta Q}
6837:
6836:
6824:
6701:Population concern organizations
6407:Projections of population growth
6321:
6320:
6309:
5567:Entertainment Industry Economics
4626:Oxford Review of Economic Policy
4242:Gillespie, Andrew (2002). p. 51.
4190:Png, Ivan (1999). pp. 62–3.
4042:Taylor, John (2006). p. 93.
4015:Sloman, John (2006). p. 55.
1759:Availability of substitute goods
131:incidence (or "burden") of a tax
27:Sensitivity of quantity to price
6802:Human impact on the environment
6736:Population Action International
5618:. Barron's Educational Series.
5398:(5th ed.). Prentice-Hall.
5035:(5th ed.). Prentice-Hall.
4975:New England Journal of Medicine
4463:Perloff, J. (2008). p. 97.
2818:simultaneous linear equations.
2667:{\displaystyle LQ=K+E\times LP}
1770:Breadth of definition of a good
6751:United Nations Population Fund
5466:(17th ed.). McGraw-Hill.
5031:Case, Karl; Fair, Ray (1999).
4224:Krugman, Wells (2009). p. 151.
3416:
3399:
3181:
3175:
3097:
3091:
3034:
3021:
2993:
2980:
2735:
2729:
2708:
2702:
2543:Price-elasticity of demand is
2180:
2131:
2025:
2015:
1857:The following equation holds:
1683:
1671:
1640:
1628:
1581:
1569:
1469:
1457:
1403:
1391:
1300:
1288:
1218:
1212:
682:
670:
662:
650:
621:
609:
601:
589:
423:
411:
403:
391:
98:for consumer income changes).
1:
5148:(7th ed.). McGraw-Hill.
5123:Ferguson, Charles E. (1972).
5018:(4th ed.). HarperCollins
4864:10.1080/03031853.1991.9524200
4689:10.1080/13662716.2019.1591939
4254:Arnold, Roger (2008). p. 385.
3841:Png, Ivan (1989). p. 57.
3518:−1.5 (for pleasure travelers)
1818:attachment to a certain brand
38:. For wealth elasticity, see
5487:(12th ed.). Routledge.
5484:History of economic analysis
5460:Samuelson; Nordhaus (2001).
4398:10.1371/journal.pone.0151390
1853:Relation to marginal revenue
34:. For cross elasticity, see
6776:World Population Foundation
6766:World Population Conference
6679:World population milestones
6193:Civil engineering economics
6178:Statistical decision theory
5818:Income elasticity of demand
5394:Pindyck; Rubinfeld (2001).
5169:. Oxford University Press.
5146:Microeconomics and Behavior
5104:Feldstein, Paul J. (1999).
5056:Alcohol Research and Health
4589:Samuelson; Nordhaus (2001).
4529:10.1016/j.eneco.2011.09.003
4326:Samia Rekhi (16 May 2016).
3808:Browning, Edgar K. (1992).
3759:Income elasticity of demand
3469:income elasticity of demand
3454:Selected price elasticities
1267:{\displaystyle {dQ_{d}/dP}}
1178:) divided by its quantity (
361:-price elasticity of demand
96:income elasticity of demand
40:Wealth elasticity of demand
32:Income elasticity of demand
6889:
6648:Population and Environment
5828:Price elasticity of supply
5823:Price elasticity of demand
5813:Cross elasticity of demand
5360:. Harlow: Addison-Wesley.
5085:Duetsch, Larry L. (1993).
4200:Reed, Jacob (2016-05-26).
3764:Price elasticity of supply
3754:Cross elasticity of demand
2572:price elasticity of supply
2563:
2360:
1224:{\displaystyle Q_{d}=f(P)}
738:of the two prices and the
726:
527:{\displaystyle P=aQ^{1/E}}
54:price elasticity of demand
47:Price elasticity of supply
44:
36:Cross elasticity of demand
29:
6820:
6558:Human population planning
6382:Demographics of the world
6304:
5268:Marshall, Alfred (1920).
5259:Landers (February 2008).
5194:Microeconomics in Context
4564:10.1007/s12053-018-9628-6
3706:−0.1 (US: household only)
3646:(Ford compact automobile)
3576:−0.31 (medical insurance)
3495:Alcoholic beverages (US)
3067:{\displaystyle K_{\ell }}
2483:unit (or unitary) elastic
274:is how much it changed,
6563:Compulsory sterilization
5884:Income–consumption curve
5197:(2nd ed.). Sharpe.
5166:Foundations of Economics
4950:Ayers; Collinge (2003).
3649:−0.52 (commuter parking)
2357:Effect on entire revenue
1954:Define Total Revenue as
1762:The more and closer the
554:is a shift constant and
310:{\displaystyle \Delta Q}
267:{\displaystyle \Delta P}
6505:Malthusian growth model
6218:Industrial organization
5443:Principles of Economics
5271:Principles of Economics
5244:(2nd ed.). Worth.
5240:Krugman; Wells (2009).
5033:Principles of Economics
4677:Industry and Innovation
4332:economicsdiscussion.net
2754:is the elasticity, and
2552:Effect on tax incidence
1743:Principles of Economics
1417:be the demand for good
1314:be the demand of goods
1035:elasticity, which uses
6863:Elasticity (economics)
6632:Zero population growth
6627:Sustainable population
6551:Malthusian catastrophe
6510:Overshoot (population)
6387:Demographic transition
5565:Vogel, Harold (2001).
5144:Frank, Robert (2008).
4987:10.1056/NEJMhpr0905723
4669:de Rassenfosse, Gaétan
4618:de Rassenfosse, Gaétan
3665:−0.8 to −1.0 (general)
3487:−0.3 to −0.6 (general)
3429:
3291:
3208:
3188:
3187:{\displaystyle \ln(Q)}
3156:
3124:
3104:
3103:{\displaystyle \ln(Q)}
3068:
3041:
2919:
2893:
2812:
2792:
2768:
2748:
2668:
2561:
2411:
2373:
2343:
2235:
2065:
1921:
1791:for those who need it.
1733:
1714:
1504:
1483:with respect to price
1477:
1433:
1411:
1367:
1308:
1268:
1225:
1168:
1117:
1008:
698:
637:
568:
548:
528:
484:
439:
311:
288:
268:
245:
222:
78:
6741:Population Connection
6605:Mere addition paradox
6444:Physiological density
6188:Engineering economics
5783:Cost–benefit analysis
5509:Sloman, John (2006).
5106:Health Care Economics
3725:University education
3639:−0.20 (bus travel US)
3450:is more appropriate.
3430:
3292:
3209:
3189:
3157:
3125:
3105:
3069:
3042:
2920:
2918:{\displaystyle \ell }
2894:
2813:
2793:
2769:
2749:
2669:
2559:
2412:
2370:
2344:
2236:
2066:
1922:
1731:
1715:
1505:
1503:{\displaystyle p_{k}}
1478:
1434:
1412:
1368:
1309:
1274:, can be determined.
1269:
1226:
1169:
1118:
1037:differential calculus
1009:
699:
638:
569:
549:
529:
485:
440:
312:
289:
269:
246:
223:
79:
77:{\displaystyle E_{d}}
6771:World Population Day
6726:Church of Euthanasia
6615:Non-identity problem
6590:Political demography
6546:Human overpopulation
6005:Price discrimination
5899:Intertemporal choice
5543:. Cengage Learning.
5416:Managerial Economics
5375:Perloff, J. (2008).
5301:Microeconomic Theory
5218:. Cengage Learning.
5126:Microeconomic Theory
4928:. Cengage Learning.
4638:10.2139/ssrn.1743840
3712:−0.55 (South Africa)
3509:Airline travel (US)
3490:−0.6 to −0.7 (youth)
3307:
3221:
3198:
3166:
3146:
3130:or maximum revenue.
3114:
3082:
3051:
2929:
2909:
2825:
2802:
2782:
2758:
2684:
2634:
2467:relatively inelastic
2383:
2248:
2078:
1963:
1864:
1832:Goods that are more
1777:Percentage of income
1517:
1487:
1443:
1421:
1377:
1318:
1281:
1235:
1193:
1130:
1046:
759:
706:index number problem
647:
586:
574:is the elasticity.
558:
538:
494:
460:
454:common misconception
367:
298:
278:
255:
235:
160:
61:
6620:Reproductive rights
6451:Population dynamics
6402:Population momentum
6316:Business portal
6253:Operations research
6080:Substitution effect
4658:Perloff, J. (2008).
4521:2012EneEc..34..201H
4389:2016PLoSO..1151390S
4078:Negbennebor (2001).
3692:Telecommunications
3557:Cinema visits (US)
3448:Profit maximization
2576:perfectly inelastic
2451:perfectly inelastic
2430:The quantity effect
387:
6746:Population Matters
6461:Population pyramid
6439:Population density
6434:Population decline
5894:Indifference curve
5862:Goods and services
5803:Economies of scope
5798:Economies of scale
5413:Png, Ivan (1999).
5297:Mas-Colell, Andreu
4896:10.1111/obes.12240
4771:. Jerry A. Hausman
4445:on 13 January 2011
4121:on 4 December 2008
3818:. pp. 94–95.
3698:−0.434 (broadband)
3512:−0.3 (first class)
3425:
3287:
3204:
3184:
3152:
3120:
3100:
3064:
3037:
2915:
2889:
2808:
2788:
2764:
2744:
2664:
2562:
2499:relatively elastic
2407:
2374:
2363:Total revenue test
2339:
2231:
2129:
2114:
2061:
1917:
1910:
1734:
1710:
1500:
1473:
1472:
1429:
1428:
1407:
1406:
1363:
1304:
1303:
1264:
1221:
1164:
1113:
1004:
694:
633:
564:
544:
524:
480:
435:
370:
307:
284:
264:
241:
218:
74:
6850:
6849:
6721:7 Billion Actions
6595:Population ethics
6488:Carrying capacity
6397:Population growth
6334:
6333:
6296:Political economy
6095:Supply and demand
5975:Pareto efficiency
5625:978-0-7641-1274-4
5597:978-0-273-71367-8
5576:978-0-521-79264-6
5550:978-0-618-64085-0
5522:978-0-273-70512-3
5494:978-0-415-10888-1
5473:978-0-07-057953-8
5452:978-0-673-18871-7
5426:978-0-631-22516-4
5405:978-1-4058-9340-4
5386:978-0-321-27794-7
5367:978-0-273-65813-9
5348:978-1-56226-485-7
5329:978-0-07-044967-1
5310:978-1-4288-7151-9
5281:978-0-256-01547-8
5251:978-0-7167-7159-3
5225:978-0-324-58018-1
5204:978-0-618-34599-1
5176:978-0-19-929637-8
5155:978-0-07-126349-8
5136:978-0-256-02157-8
5115:978-0-7668-0699-3
5096:978-0-585-01979-6
5042:978-0-13-961905-2
4981:(16): 1599–1605.
4961:978-0-536-53313-5
4935:978-0-324-59542-0
4552:Energy Efficiency
4178:Frank (2008) 119.
4154:Frank (2008) 118.
3814:. New York City:
3769:Supply and demand
3739:
3738:
3546:−0.09 (short run)
3465:conjoint analysis
3207:{\displaystyle Q}
3155:{\displaystyle Q}
3123:{\displaystyle Q}
2811:{\displaystyle n}
2791:{\displaystyle n}
2767:{\displaystyle K}
2580:perfectly elastic
2515:perfectly elastic
2389:
2332:
2297:
2229:
2206:
2178:
2155:
2128:
2113:
2059:
2013:
1995:
1909:
1808:consumer durables
1708:
1644:
1600:
1162:
1111:
1091:
1002:
972:
901:
871:
865:
811:
579:percentage change
567:{\displaystyle E}
547:{\displaystyle a}
287:{\displaystyle Q}
244:{\displaystyle P}
216:
139:conjoint analysis
18:Price sensitivity
16:(Redirected from
6880:
6840:
6839:
6828:
6827:
6797:Green Revolution
6578:Two-child policy
6573:One-child policy
6496:
6456:Population model
6412:World population
6361:
6354:
6347:
6338:
6324:
6323:
6314:
6313:
6056:Returns to scale
5914:Market structure
5694:
5687:
5680:
5671:
5636:
5634:
5632:
5608:
5606:
5604:
5580:
5561:
5559:
5557:
5533:
5531:
5529:
5505:
5503:
5501:
5477:
5456:
5437:
5435:
5433:
5409:
5390:
5371:
5352:
5333:
5314:
5292:
5290:
5288:
5264:
5255:
5236:
5234:
5232:
5208:
5187:
5185:
5183:
5159:
5140:
5119:
5100:
5087:Industry Studies
5081:
5071:
5046:
5027:
5025:
5023:
5008:
4998:
4965:
4946:
4944:
4942:
4909:
4908:
4898:
4889:(6): 1145–1184.
4874:
4868:
4867:
4847:
4841:
4840:
4838:
4836:
4821:
4815:
4812:
4806:
4805:
4803:
4801:
4795:
4787:
4781:
4780:
4778:
4776:
4770:
4762:
4756:
4753:
4744:
4741:
4732:
4729:
4723:
4720:
4714:
4708:
4702:
4699:
4693:
4692:
4665:
4659:
4656:
4650:
4649:
4614:
4608:
4605:
4599:
4596:
4590:
4587:
4576:
4575:
4558:(6): 1341–1358.
4547:
4541:
4540:
4509:Energy Economics
4506:
4497:
4491:
4488:
4482:
4479:
4473:
4470:
4464:
4461:
4455:
4454:
4452:
4450:
4441:. Archived from
4435:
4429:
4428:
4418:
4400:
4382:
4358:
4352:
4349:
4343:
4342:
4340:
4338:
4323:
4317:
4316:
4314:
4313:
4304:. Archived from
4298:
4292:
4291:
4289:
4288:
4279:. Archived from
4273:
4267:
4264:
4255:
4252:
4243:
4240:
4234:
4231:
4225:
4222:
4216:
4215:
4213:
4212:
4206:APEconReview.com
4197:
4191:
4188:
4179:
4176:
4167:
4164:
4155:
4152:
4143:
4140:
4131:
4130:
4128:
4126:
4117:. Archived from
4110:
4095:
4092:
4079:
4076:
4070:
4067:
4061:
4058:
4052:
4049:
4043:
4040:
4034:
4031:
4025:
4022:
4016:
4013:
4007:
4004:
3998:
3995:
3986:
3983:
3974:
3971:
3962:
3959:
3950:
3947:
3941:
3938:
3929:
3926:
3920:
3917:
3911:
3908:
3902:
3899:
3893:
3890:
3884:
3881:
3875:
3872:
3863:
3860:
3851:
3848:
3842:
3839:
3830:
3829:
3805:
3799:
3798:
3796:
3795:
3784:
3645:
3612:
3605:
3579:−0.03 to −0.06 (
3549:−0.31 (long run)
3528:broiler chickens
3484:Cigarettes (US)
3479:
3434:
3432:
3431:
3426:
3424:
3423:
3414:
3413:
3395:
3394:
3373:
3372:
3357:
3356:
3335:
3334:
3322:
3321:
3296:
3294:
3293:
3288:
3286:
3285:
3270:
3269:
3248:
3247:
3213:
3211:
3210:
3205:
3193:
3191:
3190:
3185:
3161:
3159:
3158:
3153:
3129:
3127:
3126:
3121:
3109:
3107:
3106:
3101:
3073:
3071:
3070:
3065:
3063:
3062:
3046:
3044:
3043:
3038:
3033:
3032:
3011:
3010:
2992:
2991:
2970:
2969:
2924:
2922:
2921:
2916:
2898:
2896:
2895:
2890:
2888:
2887:
2872:
2871:
2853:
2852:
2840:
2839:
2817:
2815:
2814:
2809:
2797:
2795:
2794:
2789:
2773:
2771:
2770:
2765:
2753:
2751:
2750:
2745:
2673:
2671:
2670:
2665:
2424:The price effect
2416:
2414:
2413:
2408:
2406:
2405:
2390:
2387:
2348:
2346:
2345:
2340:
2338:
2334:
2333:
2331:
2330:
2318:
2298:
2296:
2289:
2288:
2275:
2258:
2240:
2238:
2237:
2232:
2230:
2228:
2220:
2212:
2207:
2205:
2198:
2197:
2184:
2179:
2177:
2169:
2161:
2156:
2148:
2143:
2142:
2130:
2121:
2115:
2112:
2104:
2096:
2090:
2089:
2070:
2068:
2067:
2062:
2060:
2058:
2050:
2042:
2014:
2012:
2001:
1996:
1994:
1986:
1978:
1973:
1939:marginal revenue
1926:
1924:
1923:
1918:
1916:
1912:
1911:
1908:
1907:
1895:
1874:
1719:
1717:
1716:
1711:
1709:
1707:
1706:
1705:
1686:
1670:
1669:
1650:
1645:
1643:
1627:
1626:
1616:
1615:
1606:
1601:
1599:
1598:
1597:
1584:
1568:
1567:
1554:
1549:
1548:
1547:
1546:
1534:
1533:
1509:
1507:
1506:
1501:
1499:
1498:
1482:
1480:
1479:
1474:
1456:
1455:
1438:
1436:
1435:
1430:
1416:
1414:
1413:
1408:
1390:
1389:
1372:
1370:
1369:
1364:
1362:
1361:
1343:
1342:
1330:
1329:
1313:
1311:
1310:
1305:
1273:
1271:
1270:
1265:
1263:
1256:
1251:
1250:
1230:
1228:
1227:
1222:
1205:
1204:
1173:
1171:
1170:
1165:
1163:
1161:
1157:
1151:
1150:
1149:
1140:
1134:
1122:
1120:
1119:
1114:
1112:
1110:
1109:
1097:
1092:
1090:
1086:
1080:
1079:
1078:
1069:
1063:
1058:
1057:
1026:Point elasticity
1013:
1011:
1010:
1005:
1003:
1001:
993:
992:
991:
978:
973:
971:
970:
969:
968:
967:
950:
949:
948:
947:
932:
931:
930:
918:
917:
907:
902:
900:
892:
891:
890:
877:
872:
870:
866:
861:
860:
859:
858:
857:
840:
839:
838:
837:
822:
816:
812:
807:
806:
805:
793:
792:
782:
776:
771:
770:
717:point elasticity
703:
701:
700:
695:
669:
642:
640:
639:
634:
608:
573:
571:
570:
565:
553:
551:
550:
545:
533:
531:
530:
525:
523:
522:
518:
489:
487:
486:
481:
473:
444:
442:
441:
436:
410:
386:
381:
316:
314:
313:
308:
293:
291:
290:
285:
273:
271:
270:
265:
250:
248:
247:
242:
227:
225:
224:
219:
217:
215:
211:
199:
195:
183:
178:
177:
83:
81:
80:
75:
73:
72:
21:
6888:
6887:
6883:
6882:
6881:
6879:
6878:
6877:
6853:
6852:
6851:
6846:
6816:
6780:
6714:
6712:
6705:
6657:
6636:
6585:Overconsumption
6568:Family planning
6525:
6519:
6492:
6476:
6473:
6465:
6427:
6424:
6416:
6370:
6365:
6335:
6330:
6308:
6300:
6267:
6146:
5788:Deadweight loss
5725:Consumer choice
5703:
5698:
5644:
5639:
5630:
5628:
5626:
5611:
5602:
5600:
5598:
5583:
5577:
5564:
5555:
5553:
5551:
5536:
5527:
5525:
5523:
5508:
5499:
5497:
5495:
5480:
5474:
5459:
5453:
5440:
5431:
5429:
5427:
5412:
5406:
5393:
5387:
5374:
5368:
5355:
5349:
5336:
5330:
5317:
5311:
5295:
5286:
5284:
5282:
5267:
5258:
5252:
5239:
5230:
5228:
5226:
5211:
5205:
5190:
5181:
5179:
5177:
5162:
5156:
5143:
5137:
5122:
5116:
5103:
5097:
5084:
5049:
5043:
5030:
5021:
5019:
5011:
4968:
4962:
4949:
4940:
4938:
4936:
4921:
4917:
4912:
4876:
4875:
4871:
4849:
4848:
4844:
4834:
4832:
4823:
4822:
4818:
4813:
4809:
4799:
4797:
4793:
4789:
4788:
4784:
4774:
4772:
4768:
4764:
4763:
4759:
4754:
4747:
4742:
4735:
4730:
4726:
4721:
4717:
4709:
4705:
4700:
4696:
4667:
4666:
4662:
4657:
4653:
4616:
4615:
4611:
4606:
4602:
4597:
4593:
4588:
4579:
4549:
4548:
4544:
4504:
4499:
4498:
4494:
4489:
4485:
4480:
4476:
4471:
4467:
4462:
4458:
4448:
4446:
4437:
4436:
4432:
4373:(3): e0151390.
4360:
4359:
4355:
4350:
4346:
4336:
4334:
4325:
4324:
4320:
4311:
4309:
4300:
4299:
4295:
4286:
4284:
4275:
4274:
4270:
4265:
4258:
4253:
4246:
4241:
4237:
4232:
4228:
4223:
4219:
4210:
4208:
4199:
4198:
4194:
4189:
4182:
4177:
4170:
4165:
4158:
4153:
4146:
4141:
4134:
4124:
4122:
4113:Walbert, Mark.
4112:
4111:
4098:
4093:
4082:
4077:
4073:
4068:
4064:
4059:
4055:
4050:
4046:
4041:
4037:
4032:
4028:
4023:
4019:
4014:
4010:
4005:
4001:
3996:
3989:
3984:
3977:
3972:
3965:
3960:
3953:
3948:
3944:
3939:
3932:
3927:
3923:
3918:
3914:
3909:
3905:
3900:
3896:
3891:
3887:
3882:
3878:
3873:
3866:
3861:
3854:
3849:
3845:
3840:
3833:
3826:
3807:
3806:
3802:
3793:
3791:
3786:
3785:
3781:
3777:
3745:
3740:
3695:−0.405 (mobile)
3643:
3610:
3603:
3599:−0.47 (Austria)
3560:−0.87 (general)
3526:−0.5 to −0.6 (
3515:−0.9 (discount)
3456:
3444:
3415:
3405:
3380:
3364:
3342:
3326:
3313:
3305:
3304:
3277:
3261:
3239:
3219:
3218:
3196:
3195:
3164:
3163:
3144:
3143:
3140:
3112:
3111:
3080:
3079:
3054:
3049:
3048:
3024:
3002:
2983:
2961:
2927:
2926:
2907:
2906:
2879:
2857:
2844:
2831:
2823:
2822:
2800:
2799:
2780:
2779:
2756:
2755:
2682:
2681:
2632:
2631:
2624:
2616:
2614:Optimal pricing
2568:
2554:
2525:
2509:
2493:
2477:
2461:
2397:
2381:
2380:
2365:
2359:
2322:
2310:
2306:
2280:
2279:
2251:
2246:
2245:
2221:
2213:
2189:
2188:
2170:
2162:
2134:
2105:
2097:
2081:
2076:
2075:
2051:
2043:
2005:
1987:
1979:
1966:
1961:
1960:
1937:′ is the
1899:
1886:
1882:
1867:
1862:
1861:
1855:
1752:
1738:Alfred Marshall
1726:
1697:
1687:
1661:
1651:
1618:
1617:
1607:
1589:
1585:
1559:
1555:
1538:
1525:
1520:
1515:
1514:
1490:
1485:
1484:
1447:
1441:
1440:
1419:
1418:
1381:
1375:
1374:
1353:
1334:
1321:
1316:
1315:
1279:
1278:
1242:
1233:
1232:
1196:
1191:
1190:
1187:demand function
1184:
1152:
1141:
1135:
1128:
1127:
1101:
1081:
1070:
1064:
1049:
1044:
1043:
1028:
1020:midpoint method
994:
983:
979:
959:
954:
939:
934:
933:
922:
909:
908:
893:
882:
878:
849:
844:
829:
824:
823:
817:
797:
784:
783:
777:
762:
757:
756:
731:
725:
645:
644:
584:
583:
556:
555:
536:
535:
506:
492:
491:
458:
457:
365:
364:
354:substitute good
296:
295:
276:
275:
253:
252:
233:
232:
200:
184:
163:
158:
157:
147:
64:
59:
58:
50:
43:
28:
23:
22:
15:
12:
11:
5:
6886:
6884:
6876:
6875:
6870:
6865:
6855:
6854:
6848:
6847:
6845:
6844:
6834:
6821:
6818:
6817:
6815:
6814:
6812:Sustainability
6809:
6804:
6799:
6794:
6788:
6786:
6785:Related topics
6782:
6781:
6779:
6778:
6773:
6768:
6763:
6758:
6753:
6748:
6743:
6738:
6733:
6728:
6723:
6717:
6715:
6710:
6707:
6706:
6704:
6703:
6698:
6697:
6696:
6691:
6686:
6676:
6674:Largest cities
6671:
6665:
6663:
6659:
6658:
6656:
6655:
6650:
6644:
6642:
6638:
6637:
6635:
6634:
6629:
6624:
6623:
6622:
6617:
6612:
6607:
6602:
6592:
6587:
6582:
6581:
6580:
6575:
6570:
6565:
6555:
6554:
6553:
6543:
6535:
6529:
6527:
6521:
6520:
6518:
6517:
6512:
6507:
6502:
6497:
6494:I = P × A × T
6490:
6485:
6479:
6477:
6470:
6467:
6466:
6464:
6463:
6458:
6453:
6448:
6447:
6446:
6436:
6430:
6428:
6421:
6418:
6417:
6415:
6414:
6409:
6404:
6399:
6394:
6389:
6384:
6378:
6376:
6372:
6371:
6366:
6364:
6363:
6356:
6349:
6341:
6332:
6331:
6329:
6328:
6318:
6305:
6302:
6301:
6299:
6298:
6293:
6291:Macroeconomics
6288:
6287:
6286:
6275:
6273:
6269:
6268:
6266:
6265:
6260:
6255:
6250:
6245:
6240:
6235:
6230:
6225:
6220:
6215:
6210:
6205:
6200:
6195:
6190:
6185:
6180:
6175:
6170:
6165:
6160:
6154:
6152:
6148:
6147:
6145:
6144:
6139:
6138:
6137:
6132:
6122:
6117:
6116:
6115:
6106:
6092:
6087:
6082:
6077:
6068:
6063:
6058:
6053:
6048:
6043:
6038:
6033:
6028:
6027:
6026:
6021:
6012:
6007:
6002:
5997:
5992:
5990:Price controls
5982:
5977:
5972:
5971:
5970:
5965:
5960:
5955:
5954:
5953:
5948:
5938:
5933:
5932:
5931:
5926:
5911:
5909:Market failure
5906:
5901:
5896:
5891:
5886:
5881:
5876:
5875:
5874:
5869:
5859:
5854:
5849:
5844:
5843:
5842:
5832:
5831:
5830:
5825:
5820:
5815:
5805:
5800:
5795:
5790:
5785:
5780:
5779:
5778:
5773:
5768:
5763:
5762:
5761:
5751:
5746:
5736:
5727:
5722:
5717:
5711:
5709:
5705:
5704:
5701:Microeconomics
5699:
5697:
5696:
5689:
5682:
5674:
5666:
5665:
5660:
5655:
5650:
5643:
5642:External links
5640:
5638:
5637:
5624:
5609:
5596:
5581:
5575:
5562:
5549:
5534:
5521:
5506:
5493:
5478:
5472:
5463:Microeconomics
5457:
5451:
5438:
5425:
5410:
5404:
5396:Microeconomics
5391:
5385:
5372:
5366:
5353:
5347:
5339:Microeconomics
5334:
5328:
5315:
5309:
5293:
5280:
5265:
5256:
5250:
5242:Microeconomics
5237:
5224:
5209:
5203:
5188:
5175:
5160:
5154:
5141:
5135:
5120:
5114:
5101:
5095:
5082:
5047:
5041:
5028:
5009:
4966:
4960:
4952:Microeconomics
4947:
4934:
4918:
4916:
4913:
4911:
4910:
4869:
4842:
4831:on 8 July 2011
4816:
4807:
4782:
4757:
4745:
4733:
4724:
4715:
4703:
4694:
4683:(1–2): 11–24.
4660:
4651:
4609:
4600:
4591:
4577:
4542:
4492:
4483:
4474:
4465:
4456:
4430:
4353:
4344:
4318:
4293:
4268:
4256:
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4235:
4226:
4217:
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4156:
4144:
4132:
4096:
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4071:
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4053:
4044:
4035:
4026:
4017:
4008:
3999:
3987:
3975:
3963:
3951:
3942:
3930:
3921:
3912:
3903:
3894:
3885:
3876:
3864:
3852:
3843:
3831:
3824:
3800:
3778:
3776:
3773:
3772:
3771:
3766:
3761:
3756:
3751:
3749:Arc elasticity
3744:
3741:
3737:
3736:
3732:
3731:
3730:
3729:
3723:
3722:
3721:
3715:
3714:
3713:
3710:
3709:−0.35 (Canada)
3707:
3701:
3700:
3699:
3696:
3690:
3689:
3688:
3682:
3681:
3680:
3673:
3666:
3660:
3659:
3658:
3654:Cannabis (US)
3652:
3651:
3650:
3647:
3640:
3634:
3633:
3632:
3624:
3623:
3622:
3621:
3620:
3617:
3614:
3607:
3600:
3594:
3593:
3592:
3586:
3585:
3584:
3577:
3573:Medicine (US)
3571:
3570:
3569:
3563:
3562:
3561:
3555:
3554:
3553:
3550:
3547:
3541:
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3539:
3533:
3532:
3531:
3521:
3520:
3519:
3516:
3513:
3507:
3506:
3505:
3504:−1.5 (spirits)
3502:
3499:
3493:
3492:
3491:
3488:
3477:
3455:
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3440:
3436:
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3298:
3297:
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3273:
3268:
3264:
3260:
3257:
3254:
3251:
3246:
3242:
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3235:
3232:
3229:
3226:
3203:
3183:
3180:
3177:
3174:
3171:
3151:
3139:
3136:
3119:
3099:
3096:
3093:
3090:
3087:
3076:
3075:
3061:
3057:
3036:
3031:
3027:
3023:
3020:
3017:
3014:
3009:
3005:
3001:
2998:
2995:
2990:
2986:
2982:
2979:
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2973:
2968:
2964:
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2864:
2860:
2856:
2851:
2847:
2843:
2838:
2834:
2830:
2807:
2787:
2776:
2775:
2774:is a constant.
2763:
2743:
2740:
2737:
2734:
2731:
2728:
2725:
2722:
2719:
2716:
2713:
2710:
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2663:
2660:
2657:
2654:
2651:
2648:
2645:
2642:
2639:
2623:
2620:
2615:
2612:
2564:Main article:
2553:
2550:
2538:
2537:
2521:
2511:
2505:
2495:
2489:
2479:
2473:
2463:
2457:
2435:
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2431:
2428:
2425:
2418:
2417:
2404:
2400:
2396:
2393:
2358:
2355:
2350:
2349:
2337:
2329:
2325:
2321:
2316:
2313:
2309:
2304:
2301:
2295:
2292:
2287:
2283:
2278:
2273:
2270:
2267:
2264:
2261:
2257:
2254:
2242:
2241:
2227:
2224:
2219:
2216:
2210:
2204:
2201:
2196:
2192:
2187:
2182:
2176:
2173:
2168:
2165:
2159:
2154:
2151:
2146:
2141:
2137:
2133:
2127:
2124:
2118:
2111:
2108:
2103:
2100:
2093:
2088:
2084:
2072:
2071:
2057:
2054:
2049:
2046:
2039:
2036:
2033:
2030:
2027:
2024:
2020:
2017:
2011:
2008:
2004:
1999:
1993:
1990:
1985:
1982:
1976:
1972:
1969:
1958:
1948:
1947:
1941:
1928:
1927:
1915:
1906:
1902:
1898:
1892:
1889:
1885:
1880:
1877:
1873:
1870:
1854:
1851:
1850:
1849:
1830:
1827:
1824:
1821:
1814:
1811:
1795:
1792:
1785:
1782:
1778:
1775:
1771:
1768:
1760:
1751:
1748:
1725:
1722:
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1704:
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1679:
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1664:
1660:
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1642:
1639:
1636:
1633:
1630:
1625:
1621:
1614:
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1604:
1596:
1592:
1588:
1583:
1580:
1577:
1574:
1571:
1566:
1562:
1558:
1552:
1545:
1541:
1537:
1532:
1528:
1523:
1497:
1493:
1471:
1468:
1465:
1462:
1459:
1454:
1450:
1427:
1405:
1402:
1399:
1396:
1393:
1388:
1384:
1360:
1356:
1352:
1349:
1346:
1341:
1337:
1333:
1328:
1324:
1302:
1299:
1296:
1293:
1290:
1287:
1262:
1259:
1255:
1249:
1245:
1241:
1220:
1217:
1214:
1211:
1208:
1203:
1199:
1182:
1160:
1156:
1148:
1144:
1139:
1124:
1123:
1108:
1104:
1100:
1095:
1089:
1085:
1077:
1073:
1068:
1061:
1056:
1052:
1027:
1024:
1015:
1014:
1000:
997:
990:
986:
982:
976:
966:
962:
957:
953:
946:
942:
937:
929:
925:
921:
916:
912:
905:
899:
896:
889:
885:
881:
875:
869:
864:
856:
852:
847:
843:
836:
832:
827:
820:
815:
810:
804:
800:
796:
791:
787:
780:
774:
769:
765:
749:arc elasticity
729:arc elasticity
727:Main article:
724:
723:Arc elasticity
721:
713:arc elasticity
693:
690:
687:
684:
681:
678:
675:
672:
668:
664:
661:
658:
655:
652:
632:
629:
626:
623:
620:
617:
614:
611:
607:
603:
600:
597:
594:
591:
563:
543:
521:
517:
513:
509:
505:
502:
499:
479:
476:
472:
468:
465:
434:
431:
428:
425:
422:
419:
416:
413:
409:
405:
402:
399:
396:
393:
390:
385:
380:
377:
373:
337:absolute value
306:
303:
283:
263:
260:
240:
229:
228:
214:
210:
206:
203:
198:
194:
190:
187:
181:
176:
173:
170:
166:
146:
143:
71:
67:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
6885:
6874:
6871:
6869:
6866:
6864:
6861:
6860:
6858:
6843:
6835:
6833:
6832:
6823:
6822:
6819:
6813:
6810:
6808:
6805:
6803:
6800:
6798:
6795:
6793:
6792:Bennett's law
6790:
6789:
6787:
6783:
6777:
6774:
6772:
6769:
6767:
6764:
6762:
6759:
6757:
6754:
6752:
6749:
6747:
6744:
6742:
6739:
6737:
6734:
6732:
6729:
6727:
6724:
6722:
6719:
6718:
6716:
6713:organizations
6708:
6702:
6699:
6695:
6692:
6690:
6687:
6685:
6682:
6681:
6680:
6677:
6675:
6672:
6670:
6667:
6666:
6664:
6660:
6654:
6651:
6649:
6646:
6645:
6643:
6639:
6633:
6630:
6628:
6625:
6621:
6618:
6616:
6613:
6611:
6608:
6606:
6603:
6601:
6598:
6597:
6596:
6593:
6591:
6588:
6586:
6583:
6579:
6576:
6574:
6571:
6569:
6566:
6564:
6561:
6560:
6559:
6556:
6552:
6549:
6548:
6547:
6544:
6542:
6540:
6536:
6534:
6531:
6530:
6528:
6522:
6516:
6513:
6511:
6508:
6506:
6503:
6501:
6500:Kaya identity
6498:
6495:
6491:
6489:
6486:
6484:
6481:
6480:
6478:
6475:
6468:
6462:
6459:
6457:
6454:
6452:
6449:
6445:
6442:
6441:
6440:
6437:
6435:
6432:
6431:
6429:
6426:
6419:
6413:
6410:
6408:
6405:
6403:
6400:
6398:
6395:
6393:
6390:
6388:
6385:
6383:
6380:
6379:
6377:
6373:
6369:
6362:
6357:
6355:
6350:
6348:
6343:
6342:
6339:
6327:
6319:
6317:
6312:
6307:
6306:
6303:
6297:
6294:
6292:
6289:
6285:
6282:
6281:
6280:
6277:
6276:
6274:
6270:
6264:
6261:
6259:
6256:
6254:
6251:
6249:
6246:
6244:
6241:
6239:
6236:
6234:
6231:
6229:
6226:
6224:
6223:Institutional
6221:
6219:
6216:
6214:
6211:
6209:
6206:
6204:
6201:
6199:
6196:
6194:
6191:
6189:
6186:
6184:
6181:
6179:
6176:
6174:
6171:
6169:
6168:Computational
6166:
6164:
6161:
6159:
6156:
6155:
6153:
6149:
6143:
6140:
6136:
6133:
6131:
6128:
6127:
6126:
6123:
6121:
6118:
6114:
6113:Law of supply
6110:
6107:
6105:
6104:Law of demand
6101:
6098:
6097:
6096:
6093:
6091:
6090:Social choice
6088:
6086:
6083:
6081:
6078:
6076:
6075:Excess supply
6072:
6069:
6067:
6064:
6062:
6061:Risk aversion
6059:
6057:
6054:
6052:
6049:
6047:
6044:
6042:
6039:
6037:
6034:
6032:
6029:
6025:
6022:
6020:
6016:
6013:
6011:
6008:
6006:
6003:
6001:
5998:
5996:
5995:Price ceiling
5993:
5991:
5988:
5987:
5986:
5983:
5981:
5978:
5976:
5973:
5969:
5966:
5964:
5961:
5959:
5956:
5952:
5951:Complementary
5949:
5947:
5944:
5943:
5942:
5939:
5937:
5934:
5930:
5927:
5925:
5922:
5921:
5920:
5917:
5916:
5915:
5912:
5910:
5907:
5905:
5902:
5900:
5897:
5895:
5892:
5890:
5887:
5885:
5882:
5880:
5877:
5873:
5870:
5868:
5865:
5864:
5863:
5860:
5858:
5855:
5853:
5850:
5848:
5845:
5841:
5838:
5837:
5836:
5833:
5829:
5826:
5824:
5821:
5819:
5816:
5814:
5811:
5810:
5809:
5806:
5804:
5801:
5799:
5796:
5794:
5791:
5789:
5786:
5784:
5781:
5777:
5774:
5772:
5769:
5767:
5764:
5760:
5757:
5756:
5755:
5752:
5750:
5747:
5745:
5742:
5741:
5740:
5737:
5735:
5734:non-convexity
5731:
5728:
5726:
5723:
5721:
5718:
5716:
5713:
5712:
5710:
5706:
5702:
5695:
5690:
5688:
5683:
5681:
5676:
5675:
5672:
5668:
5664:
5661:
5659:
5656:
5654:
5651:
5649:
5646:
5645:
5641:
5627:
5621:
5617:
5616:
5610:
5599:
5593:
5589:
5588:
5582:
5578:
5572:
5568:
5563:
5552:
5546:
5542:
5541:
5535:
5524:
5518:
5514:
5513:
5507:
5496:
5490:
5486:
5485:
5479:
5475:
5469:
5465:
5464:
5458:
5454:
5448:
5444:
5439:
5428:
5422:
5419:. Blackwell.
5418:
5417:
5411:
5407:
5401:
5397:
5392:
5388:
5382:
5378:
5373:
5369:
5363:
5359:
5354:
5350:
5344:
5340:
5335:
5331:
5325:
5321:
5316:
5312:
5306:
5302:
5298:
5294:
5283:
5277:
5273:
5272:
5266:
5262:
5257:
5253:
5247:
5243:
5238:
5227:
5221:
5217:
5216:
5210:
5206:
5200:
5196:
5195:
5189:
5178:
5172:
5168:
5167:
5161:
5157:
5151:
5147:
5142:
5138:
5132:
5128:
5127:
5121:
5117:
5111:
5107:
5102:
5098:
5092:
5088:
5083:
5079:
5075:
5070:
5065:
5061:
5057:
5053:
5048:
5044:
5038:
5034:
5029:
5017:
5016:
5010:
5006:
5002:
4997:
4992:
4988:
4984:
4980:
4976:
4972:
4967:
4963:
4957:
4953:
4948:
4937:
4931:
4927:
4926:
4920:
4919:
4914:
4906:
4902:
4897:
4892:
4888:
4884:
4880:
4873:
4870:
4865:
4861:
4857:
4853:
4846:
4843:
4830:
4826:
4820:
4817:
4811:
4808:
4796:. SPC Network
4792:
4786:
4783:
4767:
4761:
4758:
4752:
4750:
4746:
4740:
4738:
4734:
4728:
4725:
4719:
4716:
4713:
4707:
4704:
4698:
4695:
4690:
4686:
4682:
4678:
4674:
4670:
4664:
4661:
4655:
4652:
4647:
4643:
4639:
4635:
4631:
4627:
4623:
4619:
4613:
4610:
4604:
4601:
4595:
4592:
4586:
4584:
4582:
4578:
4573:
4569:
4565:
4561:
4557:
4553:
4546:
4543:
4538:
4534:
4530:
4526:
4522:
4518:
4514:
4510:
4503:
4496:
4493:
4487:
4484:
4478:
4475:
4469:
4466:
4460:
4457:
4444:
4440:
4434:
4431:
4426:
4422:
4417:
4412:
4408:
4404:
4399:
4394:
4390:
4386:
4381:
4376:
4372:
4368:
4364:
4357:
4354:
4348:
4345:
4333:
4329:
4322:
4319:
4308:on 2012-11-13
4307:
4303:
4297:
4294:
4283:on 2012-11-13
4282:
4278:
4272:
4269:
4263:
4261:
4257:
4251:
4249:
4245:
4239:
4236:
4230:
4227:
4221:
4218:
4207:
4203:
4196:
4193:
4187:
4185:
4181:
4175:
4173:
4169:
4163:
4161:
4157:
4151:
4149:
4145:
4139:
4137:
4133:
4120:
4116:
4115:"Tutorial 4a"
4109:
4107:
4105:
4103:
4101:
4097:
4091:
4089:
4087:
4085:
4081:
4075:
4072:
4066:
4063:
4057:
4054:
4048:
4045:
4039:
4036:
4030:
4027:
4021:
4018:
4012:
4009:
4003:
4000:
3994:
3992:
3988:
3982:
3980:
3976:
3970:
3968:
3964:
3958:
3956:
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350:complementary
346:
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112:law of demand
109:
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97:
93:
89:
88:law of demand
85:
69:
65:
55:
48:
41:
37:
33:
19:
6829:
6641:Publications
6600:Antinatalism
6538:
6515:World3 model
6375:Major topics
6258:Optimization
6243:Mathematical
6203:Experimental
6198:Evolutionary
6183:Econometrics
6041:Public goods
6015:Price system
6010:Price signal
5924:Monopolistic
5822:
5793:Distribution
5708:Major topics
5667:
5629:. Retrieved
5614:
5601:. Retrieved
5586:
5566:
5554:. Retrieved
5539:
5526:. Retrieved
5511:
5498:. Retrieved
5483:
5462:
5442:
5430:. Retrieved
5415:
5395:
5376:
5357:
5338:
5319:
5300:
5285:. Retrieved
5270:
5260:
5241:
5229:. Retrieved
5214:
5193:
5180:. Retrieved
5165:
5145:
5125:
5105:
5086:
5062:(1): 22–34.
5059:
5055:
5032:
5020:. Retrieved
5014:
4978:
4974:
4951:
4939:. Retrieved
4924:
4886:
4882:
4872:
4858:(1): 34–36.
4855:
4851:
4845:
4833:. Retrieved
4829:the original
4819:
4810:
4800:29 September
4798:. Retrieved
4785:
4775:29 September
4773:. Retrieved
4760:
4727:
4718:
4706:
4697:
4680:
4676:
4663:
4654:
4629:
4625:
4612:
4603:
4594:
4555:
4551:
4545:
4512:
4508:
4495:
4486:
4477:
4468:
4459:
4447:. Retrieved
4443:the original
4433:
4370:
4366:
4356:
4347:
4335:. Retrieved
4331:
4321:
4310:. Retrieved
4306:the original
4296:
4285:. Retrieved
4281:the original
4271:
4238:
4229:
4220:
4209:. Retrieved
4205:
4195:
4123:. Retrieved
4119:the original
4074:
4065:
4056:
4047:
4038:
4029:
4020:
4011:
4002:
3945:
3924:
3915:
3906:
3897:
3888:
3879:
3846:
3810:
3803:
3792:. Retrieved
3790:. 2020-01-14
3782:
3733:
3720:−0.3 to −0.7
3687:−0.2 to −0.3
3677:Mountain Dew
3662:Soft drinks
3606:(Bangladesh)
3568:−0.4 to −0.9
3535:Oil (World)
3473:
3461:test markets
3457:
3445:
3437:
3299:
3141:
3132:
3077:
2901:
2777:
2676:
2625:
2617:
2608:
2602:
2598:
2594:
2590:
2586:
2584:
2579:
2575:
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2539:
2527:
2522:
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2514:
2506:
2502:
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2474:
2470:
2466:
2458:
2454:
2450:
2440:
2436:
2419:
2375:
2351:
1955:
1949:
1946:is the price
1943:
1934:
1929:
1856:
1804:fuel economy
1753:
1750:Determinants
1741:
1735:
1276:
1179:
1175:
1125:
1032:
1029:
1016:
747:
743:
739:
735:
732:
716:
712:
710:
576:
450:demand curve
446:
358:
344:
341:
323:
320:
230:
148:
135:test markets
128:
125:
119:
115:
108:Giffen goods
100:
92:elasticities
57:
53:
51:
6524:Society and
6483:Biocapacity
6208:Game theory
6173:Development
6120:Uncertainty
6000:Price floor
5980:Preferences
5919:Competition
5889:Information
5852:Externality
5835:Equilibrium
5776:Transaction
5754:Opportunity
5715:Aggregation
5631:28 February
5432:28 February
5379:. Pearson.
5231:28 February
5182:28 February
5022:11 December
4954:. Pearson.
4941:28 February
4835:9 September
4515:: 201–207.
4337:11 December
4125:27 February
3628:Trademarks
3501:−1.0 (wine)
1764:substitutes
6857:Categories
6711:Events and
6526:population
6472:Population
6423:Population
6368:Population
6238:Managerial
6158:Behavioral
6031:Production
5968:Oligopsony
5808:Elasticity
5720:Budget set
4915:References
4380:1602.08644
4312:2013-03-03
4287:2013-03-03
4211:2016-05-27
3794:2021-04-14
3636:Transport
3619:−0.55 (US)
3523:Livestock
2627:equation.
2587:relatively
2361:See also:
1838:cigarettes
1800:carpooling
1767:inelastic.
145:Definition
6807:Migration
6684:6 billion
6279:Economics
6151:Subfields
6046:Rationing
5963:Oligopoly
5958:Monopsony
5946:Bilateral
5879:Household
5730:Convexity
5615:Economics
5540:Economics
5512:Economics
5358:Economics
4925:Economics
4905:158193395
4646:219337939
4572:157328882
4407:1932-6203
3670:Coca-Cola
3581:pediatric
3543:Car fuel
3397:×
3386:ℓ
3359:×
3348:ℓ
3332:ℓ
3319:ℓ
3272:×
3250:×
3173:
3089:
3060:ℓ
3030:ℓ
3019:
3008:ℓ
2989:ℓ
2978:
2967:ℓ
2945:…
2913:ℓ
2874:×
2863:ℓ
2850:ℓ
2837:ℓ
2727:
2700:
2656:×
2595:inelastic
2501:(−∞ <
2469:(−1 <
2291:⋅
2272:⋅
2223:∂
2215:∂
2200:⋅
2181:⇒
2172:∂
2164:∂
2145:⋅
2132:⇒
2117:⋅
2107:∂
2099:∂
2053:∂
2045:∂
2007:∂
2003:∂
1989:∂
1981:∂
1834:addictive
1784:Necessity
1695:
1689:∂
1667:ℓ
1659:
1653:∂
1624:ℓ
1603:⋅
1587:∂
1565:ℓ
1557:∂
1531:ℓ
1453:ℓ
1426:ℓ
1387:ℓ
1348:…
1094:×
996:Δ
981:Δ
975:×
895:Δ
880:Δ
874:×
689:−
680:%
674:−
660:%
628:−
625:≈
619:%
599:%
593:−
475:Δ
464:Δ
430:−
421:%
401:%
395:−
345:own-price
302:Δ
259:Δ
202:Δ
186:Δ
175:⟩
169:⟨
116:inelastic
52:A good's
6842:Category
6610:Natalism
6533:Eugenics
6326:Category
6272:See also
6163:Business
6135:Marginal
6130:Expected
6071:Shortage
6066:Scarcity
5941:Monopoly
5847:Exchange
5759:Implicit
5749:Marginal
5078:12154648
5005:19759377
4671:(2020).
4537:55215422
4449:26 April
4425:26999511
4367:PLOS ONE
3743:See also
3588:Patents
2256:′
1971:′
1872:′
1823:Who pays
1794:Duration
534:, where
6873:Pricing
6831:Commons
6474:ecology
6425:biology
6284:Applied
6263:Welfare
6125:Utility
6085:Surplus
6024:Pricing
5936:Duopoly
5929:Perfect
5872:Service
5840:General
5744:Average
5603:6 March
5556:5 March
5528:5 March
5500:5 March
5287:5 March
5069:6683806
4996:3140416
4852:Agrekon
4517:Bibcode
4416:4801373
4385:Bibcode
3613:(China)
3583:visits)
2603:greater
2388:Revenue
1950:Proof:
1846:alcohol
1789:insulin
1724:History
740:average
736:average
231:where
120:elastic
6868:Demand
6541:genics
6109:Supply
6100:Demand
6036:Profit
5904:Market
5766:Social
5622:
5594:
5573:
5547:
5519:
5491:
5470:
5449:
5423:
5402:
5383:
5364:
5345:
5326:
5307:
5278:
5248:
5222:
5201:
5173:
5152:
5133:
5112:
5093:
5076:
5066:
5039:
5003:
4993:
4958:
4932:
4903:
4644:
4570:
4535:
4423:
4413:
4405:
3822:
3734:
3728:near 0
3684:Steel
3675:−4.4 (
3668:−3.8 (
3657:−0.655
3591:−0.45
3047:, and
2902:where
2677:where
2591:higher
1930:where
1842:heroin
1755:good:
332:Giffen
328:Veblen
326:) are
324:higher
104:Veblen
6662:Lists
6228:Labor
6213:Green
5985:Price
5867:Goods
5857:Firms
4901:S2CID
4794:(PDF)
4769:(PDF)
4642:S2CID
4568:S2CID
4533:S2CID
4505:(PDF)
4375:arXiv
3775:Notes
3717:Golf
3703:Eggs
3596:Rice
2599:fewer
2526:is −
1033:point
359:cross
352:, or
151:ratio
84:, PED
6142:Wage
6051:Rent
6019:Free
5771:Sunk
5739:Cost
5732:and
5633:2010
5620:ISBN
5605:2010
5592:ISBN
5571:ISBN
5558:2010
5545:ISBN
5530:2010
5517:ISBN
5502:2010
5489:ISBN
5468:ISBN
5447:ISBN
5434:2010
5421:ISBN
5400:ISBN
5381:ISBN
5362:ISBN
5343:ISBN
5324:ISBN
5305:ISBN
5289:2010
5276:ISBN
5246:ISBN
5233:2010
5220:ISBN
5199:ISBN
5184:2010
5171:ISBN
5150:ISBN
5131:ISBN
5110:ISBN
5091:ISBN
5074:PMID
5037:ISBN
5024:2020
5001:PMID
4956:ISBN
4943:2010
4930:ISBN
4837:2010
4802:2016
4777:2016
4451:2010
4421:PMID
4403:ISSN
4339:2020
4127:2010
3820:ISBN
3642:−2.8
3609:−0.8
3602:−0.8
3538:−0.4
2925:and
2447:good
1844:and
715:and
692:0.67
677:37.5
631:0.33
433:0.5.
330:and
106:and
6539:Dys
6233:Law
5064:PMC
4991:PMC
4983:doi
4979:361
4891:doi
4860:doi
4685:doi
4634:doi
4560:doi
4525:doi
4411:PMC
4393:doi
2545:not
2449:is
1816:An
1692:log
1656:log
1510:is
744:arc
398:0.5
6859::
5341:.
5072:.
5060:26
5058:.
5054:.
4999:.
4989:.
4977:.
4973:.
4899:.
4887:80
4885:.
4881:.
4856:30
4854:.
4748:^
4736:^
4681:27
4679:.
4675:.
4640:.
4632:.
4630:23
4628:.
4624:.
4580:^
4566:.
4556:11
4554:.
4531:.
4523:.
4513:34
4511:.
4507:.
4419:.
4409:.
4401:.
4391:.
4383:.
4371:11
4369:.
4365:.
4330:.
4259:^
4247:^
4204:.
4183:^
4171:^
4159:^
4147:^
4135:^
4099:^
4083:^
3990:^
3978:^
3966:^
3954:^
3933:^
3867:^
3855:^
3834:^
3194:,
3170:ln
3086:ln
3016:ln
2975:ln
2724:ln
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