Knowledge (XXG)

Nanson's method

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913: 48: 888: 900: 994: 1030:") and equal rankings ("bracketing"), though he describes two different methods to handle these cases: a theoretically correct method involving fractions of a vote, and a practical method involving whole numbers (which has the side effect of diminishing the voting power of voters who plump or bracket). This then allows the use of 1319:
In each case where on a voting paper no preference is expressed as between two candidates, half a preference is to be credited to each of the two candidates … For each paper where any number, p, of candidates are placed equal with a preference ranking as first, 1/p is to be credited to each of the
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the way Alaska uses ranked-choice voting also caused the defeat of Begich, whom most Alaska voters preferred to Democrat Mary Peltola … A candidate popular only with the party's base would be eliminated early in a Total Vote Runoff, leaving a more broadly popular Republican to compete against a
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Nanson's method eliminates those choices from a Borda count tally that are at or below the average Borda count score, then the ballots are retallied as if the remaining candidates were exclusively on the ballot. This process is repeated if necessary until a single winner remains.
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Candidates are voted for on ranked ballots as in the Borda count. Then, the points are tallied in a series of rounds. In each round, the candidate with the fewest points is eliminated, and the points are re-tallied as if that candidate were not on the ballot.
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a small but significant adjustment to the "instant runoff" method … equivalent to a candidate's Borda score, and eliminating sequentially the candidate with the lowest total votes
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In this respect, TVR differs from Baldwin's method, which without checking whether any candidate has more than 50% of first-place votes would immediately recalculate Borda scores
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The method can be adapted to multi-winner elections by removing the name of a winner from the ballots and re-calculating, though this just elects the highest-ranked
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to decide whether a given candidate is a Baldwin winner, i.e., whether there exists an elimination sequence that leaves a given candidate uneliminated.
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to obtain a single winner. For the Baldwin method, however, at each stage, there might be several candidates with lowest Borda score. In fact, it is
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Mattei, Nicholas; Narodytska, Nina; Walsh, Toby (2014-01-01). "How Hard is It to Control an Election by Breaking Ties?".
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and extended it to support incomplete ballots and equal rankings, by counting fractional points in such cases.
657: 585: 574: 437: 424: 407: 384: 362: 325: 315: 1762: 2168: 2158: 2133: 1949: 1826: 1191: 1117: 1034:-style voting for uninformed voters who merely wish to approve of some candidates and disapprove of others. 783: 637: 320: 2209: 2148: 2011: 1954: 1261: 1187: 1113: 812: 692: 622: 429: 2113: 2034: 1799: 1121: 1090: 962: 720: 560: 444: 250: 229: 161: 139: 912: 778: 1334:"Preferential Voting in Single-member Constituencies, with Special Reference to the Counting of Votes" 2183: 1752: 851: 838: 806: 70: 1266: 2163: 1757: 1333: 1175: 1102: 982: 757: 591: 244: 1081:
This system has been proposed for use in the United States under the name "Total Vote Runoff", by
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Davies, Jessica; Katsirelos, George; Narodytska, Nina; Walsh, Toby; Xia, Lirong (2014-12-01).
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Schwartz in 1986 studied a slight variant of Nanson's rule, in which candidates less than
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Begich and Peltola each get half a vote by being tied for second place on this ballot
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Both methods are computationally more difficult to manipulate than Borda's method.
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This method actually predates Nanson's, who notes it was already in use by the
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Proceedings of the Twenty-First European Conference on Artificial Intelligence
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Nanson's method can be adapted to handle incomplete ballots (including "
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The two methods have been confused with each other in some literature.
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A ranked ballot with incomplete preferences, as illustrated by Nanson.
2199: 1401:"Total Vote Runoff: A Majority-Maximizing Form of Rank Choice Voting" 1023:) then the preference with the smallest majority will be eliminated. 1656: 1364:"Alaska's ranked-choice voting is flawed. But there's an easy fix" 992: 1632:"Australian electoral reform and two concepts of representation" 1338:
Transactions and Proceedings of the Royal Society of New Zealand
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and in the election of members of the University Council of the
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candidates and does not result in proportional representation.
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Transactions and Proceedings of the Royal Society of Victoria
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the average Borda count score are eliminated in each round.
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procedure to create hybrid election methods that are called
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Niou, Emerson M. S. (1987). "A Note on Nanson's Rule".
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The Nanson method is based on the original work of the
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Both the Nanson and the Baldwin methods can be run in
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The Nanson method and the Baldwin method satisfy the
2238: 2192: 2096: 2063: 2010: 1975: 1942: 1869: 1860: 1711: 1435:""Total Vote Runoff" tweak to Ranked Choice Voting" 1019:exists, they will be elected. If not, (there is a 1170:Nanson's method was used in city elections in the 1466:"An Additional Detail about "Total Vote Runoff"" 1651:Proceedings of the London Mathematical Society 1672: 935: 8: 2129:Independence of Smith-dominated alternatives 1494:""Total Vote Runoff" & Baldwin's method" 1311:Proceedings of the Royal Society of Victoria 981:). Both methods are designed to satisfy the 1866: 1679: 1665: 1657: 1405:The University of New Hampshire Law Review 1178:in the 1920s. It was formerly used by the 942: 928: 18: 1606: 1265: 2124:Independence of irrelevant alternatives 1902:Sequential proportional approval voting 1203: 1110:independence of irrelevant alternatives 34: 7: 1247: 1245: 1243: 1219: 1217: 1215: 1213: 1211: 1209: 1207: 1089:, as a way to fix problems with the 1934:Indirect single transferable voting 1093:in U.S. jurisdictions that use it. 1073:a more efficient matrix tabulation 14: 1126:independence of clones criterion 911: 898: 886: 834:McKelvey–Schofield chaos theorem 480:Semi-proportional representation 112:First preference plurality (FPP) 2289:Non-monotonic Condorcet methods 2045:Mixed ballot transferable vote 1558:10.3233/978-1-61499-419-0-1067 1399:Edward B. Foley (2023-03-01). 872:Harsanyi's utilitarian theorem 829:Moulin's impossibility theorem 794:Conflicting majorities paradox 16:Single-winner electoral system 1: 1097:Satisfied and failed criteria 698:Frustrated majorities paradox 2246:Comparison of voting systems 2088:Satisfaction approval voting 2073:Single non-transferable vote 1892:Proportional approval voting 1608:10.1016/j.artint.2014.07.005 1128:, while they do satisfy the 867:Condorcet dominance theorems 807:Social and collective choice 1852:Graduated majority judgment 533:By mechanism of combination 304:Proportional representation 2305: 2104:Condorcet winner criterion 1795:First-past-the-post voting 1071:in 1926, who incorporated 731:Multiple districts paradox 462:Fractional approval voting 450:Interactive representation 2259: 2251:Voting systems by country 2154:Mutual majority criterion 2109:Condorcet loser criterion 2055:Vote linkage mixed system 1967:Largest remainders method 1694: 1166:Use of Nanson and Baldwin 1138:Condorcet loser criterion 1134:mutual majority criterion 678:Paradoxes and pathologies 527:Mixed-member proportional 522:Mixed-member majoritarian 517:By results of combination 408:Approval-based committees 2144:Majority loser criterion 2030:Additional member system 1988:Hagenbach-Bischoff quota 1907:Single transferable vote 1832:Positional voting system 1768:Minimax Condorcet method 1726:Combined approval voting 1108:They do not satisfy the 961:can be combined with an 857:Condorcet's jury theorem 658:Double simultaneous vote 633:Rural–urban proportional 628:Dual-member proportional 590: 579: 546:Parallel (superposition) 438:Fractional social choice 425:Expanding approvals rule 254: 239: 224: 155: 144: 120: 2169:Resolvability criterion 2159:Participation criterion 2134:Later-no-harm criterion 1950:Highest averages method 1595:Artificial Intelligence 1305:Baldwin, J. M. (1926). 1192:University of Melbourne 1118:participation criterion 1067:It was systematized by 784:Tyranny of the majority 561:Fusion (majority bonus) 378:Quota-remainder methods 2210:First-preference votes 2149:Monotonicity criterion 2119:Independence of clones 1822:Simple majoritarianism 1224:Nanson, E. J. (1882). 1188:University of Adelaide 1114:monotonicity criterion 998: 918:Mathematics portal 824:Majority impossibility 813:Impossibility theorems 609:Negative vote transfer 430:Method of equal shares 51: 2114:Consistency criterion 2035:Alternative vote plus 1800:Instant-runoff voting 1320:candidates so placed. 1226:"Methods of election" 1190:. It was used by the 1122:consistency criterion 1091:instant-runoff method 996: 721:Best-is-worst paradox 710:Pathological response 445:Direct representation 98:Single-winner methods 50: 2184:Seats-to-votes ratio 1955:Webster/Sainte-LaguĂ« 1525:www.mail-archive.com 1464:(November 8, 2022). 1433:(November 1, 2022). 1362:(November 1, 2022). 905:Economics portal 852:Median voter theorem 71:Comparative politics 2164:Plurality criterion 1763:Kemeny–Young method 1630:McLean, I. (2002). 1332:Hogben, G. (1913). 1176:Marquette, Michigan 1103:Condorcet criterion 1064:Dialectic Society. 983:Condorcet criterion 893:Politics portal 604:Vote linkage system 575:Seat linkage system 162:Ranked-choice (RCV) 2205:Election threshold 2139:Majority criterion 1815:Supplementary vote 1647:Duncan Sommerville 1276:10.1007/BF00123006 1130:majority criterion 999: 789:Discursive dilemma 748:Lesser evil voting 623:Supermixed systems 326:Largest remainders 184:Round-robin voting 52: 2276: 2275: 2174:Reversal symmetry 2083:Cumulative voting 2065:Semi-proportional 2040:Mixed single vote 2006: 2005: 1882:Mixed single vote 1790:Exhaustive ballot 1753:Copeland's method 1748:Condorcet methods 1688:Electoral systems 1498:Election Law Blog 1470:Election Law Blog 1439:Election Law Blog 1146:reversal symmetry 1069:Joseph M. Baldwin 975:Total Vote Runoff 952: 951: 839:Gibbard's theorem 779:Dominance paradox 716:Perverse response 420:Phragmen's method 286:Majority judgment 214:Positional voting 172:Condorcet methods 40:electoral systems 2296: 2215:Liquid democracy 1867: 1847:Two-round system 1758:Dodgson's method 1681: 1674: 1667: 1658: 1639: 1638: 1636: 1627: 1621: 1620: 1610: 1586: 1580: 1579: 1541: 1535: 1534: 1532: 1531: 1517: 1511: 1510: 1505: 1504: 1489: 1483: 1482: 1477: 1476: 1458: 1452: 1451: 1446: 1445: 1427: 1421: 1420: 1396: 1390: 1389: 1383: 1382: 1356:Foley, Edward B. 1352: 1346: 1345: 1329: 1323: 1322: 1302: 1296: 1295: 1269: 1249: 1238: 1237: 1221: 1046:but not equal to 1017:Condorcet winner 1006:Edward J. Nanson 959:electoral system 944: 937: 930: 916: 915: 903: 902: 891: 890: 846:Positive results 741:Strategic voting 638:Majority jackpot 595: 584: 455:Liquid democracy 331:National remnant 321:Highest averages 258: 243: 228: 160: 151:Alternative vote 149: 133:Partisan primary 125: 66:Mechanism design 19: 2304: 2303: 2299: 2298: 2297: 2295: 2294: 2293: 2279: 2278: 2277: 2272: 2255: 2234: 2188: 2179:Smith criterion 2092: 2059: 2020:Parallel voting 2002: 1998:Imperiali quota 1971: 1938: 1856: 1810:Contingent vote 1773:Nanson's method 1731:Unified primary 1721:Approval voting 1707: 1690: 1685: 1643: 1642: 1634: 1629: 1628: 1624: 1588: 1587: 1583: 1568: 1543: 1542: 1538: 1529: 1527: 1519: 1518: 1514: 1502: 1500: 1491: 1490: 1486: 1474: 1472: 1460: 1459: 1455: 1443: 1441: 1429: 1428: 1424: 1398: 1397: 1393: 1380: 1378: 1368:Washington Post 1360:Maskin, Eric S. 1354: 1353: 1349: 1331: 1330: 1326: 1304: 1303: 1299: 1267:10.1.1.460.8191 1251: 1250: 1241: 1223: 1222: 1205: 1200: 1168: 1153:polynomial time 1142:Smith criterion 1112:criterion, the 1099: 1083:Edward B. Foley 1062:Trinity College 1054: 1021:Condorcet cycle 991: 948: 910: 909: 897: 885: 877: 876: 843: 819:Arrow's theorem 809: 799: 798: 767: 737: 726:No-show paradox 707: 693:Cloning paradox 683:Spoiler effects 680: 670: 669: 644: 531: 514: 504: 503: 476: 467:Maximal lottery 434: 415:Thiele's method 404: 374: 306: 296: 295: 281:Approval voting 269:Cardinal voting 265: 210: 204:Maximal lottery 168: 100: 90: 17: 12: 11: 5: 2302: 2300: 2292: 2291: 2281: 2280: 2274: 2273: 2260: 2257: 2256: 2254: 2253: 2248: 2242: 2240: 2236: 2235: 2233: 2232: 2227: 2222: 2217: 2212: 2207: 2202: 2196: 2194: 2190: 2189: 2187: 2186: 2181: 2176: 2171: 2166: 2161: 2156: 2151: 2146: 2141: 2136: 2131: 2126: 2121: 2116: 2111: 2106: 2100: 2098: 2094: 2093: 2091: 2090: 2085: 2080: 2078:Limited voting 2075: 2069: 2067: 2061: 2060: 2058: 2057: 2052: 2047: 2042: 2037: 2032: 2027: 2022: 2016: 2014: 2008: 2007: 2004: 2003: 2001: 2000: 1995: 1990: 1985: 1979: 1977: 1973: 1972: 1970: 1969: 1964: 1963: 1962: 1957: 1946: 1944: 1940: 1939: 1937: 1936: 1931: 1926: 1925: 1924: 1919: 1914: 1904: 1899: 1894: 1889: 1884: 1879: 1873: 1871: 1864: 1858: 1857: 1855: 1854: 1849: 1844: 1839: 1834: 1829: 1824: 1819: 1818: 1817: 1812: 1807: 1805:Coombs' method 1797: 1792: 1787: 1786: 1785: 1783:Schulze method 1780: 1775: 1770: 1765: 1760: 1755: 1745: 1743:Bucklin voting 1740: 1735: 1734: 1733: 1728: 1717: 1715: 1709: 1708: 1695: 1692: 1691: 1686: 1684: 1683: 1676: 1669: 1661: 1655: 1654: 1641: 1640: 1622: 1581: 1566: 1536: 1512: 1484: 1453: 1422: 1391: 1347: 1324: 1297: 1260:(2): 191–193. 1239: 1202: 1201: 1199: 1196: 1167: 1164: 1098: 1095: 1053: 1052:Baldwin method 1050: 990: 987: 971:Baldwin method 963:instant-runoff 950: 949: 947: 946: 939: 932: 924: 921: 920: 908: 907: 895: 882: 879: 878: 875: 874: 869: 864: 859: 854: 842: 841: 836: 831: 826: 821: 810: 805: 804: 801: 800: 797: 796: 791: 786: 781: 766: 765: 763:Turkey-raising 760: 755: 750: 736: 735: 734: 733: 723: 718: 706: 705: 703:Center squeeze 700: 695: 690: 688:Spoiler effect 681: 676: 675: 672: 671: 668: 667: 662: 661: 660: 647:By ballot type 643: 642: 641: 640: 635: 630: 620: 619: 618: 617: 616: 611: 601: 600: 599: 588: 565: 564: 563: 558: 553: 548: 530: 529: 524: 515: 510: 509: 506: 505: 502: 501: 499:Limited voting 496: 495: 494: 475: 474: 469: 464: 459: 458: 457: 452: 433: 432: 427: 422: 417: 403: 402: 397: 392: 387: 373: 372: 371: 370: 368:Localized list 365: 360: 355: 350: 340: 339: 338: 336:Biproportional 333: 328: 323: 307: 302: 301: 298: 297: 294: 293: 288: 283: 278: 264: 263: 248: 233: 209: 208: 207: 206: 201: 196: 191: 181: 167: 166: 165: 164: 153: 140:Instant-runoff 137: 136: 135: 127:Jungle primary 114: 103:Single vote - 101: 96: 95: 92: 91: 89: 88: 78: 73: 68: 63: 57: 54: 53: 43: 42: 32: 31: 15: 13: 10: 9: 6: 4: 3: 2: 2301: 2290: 2287: 2286: 2284: 2271: 2270: 2265: 2264: 2258: 2252: 2249: 2247: 2244: 2243: 2241: 2237: 2231: 2228: 2226: 2223: 2221: 2218: 2216: 2213: 2211: 2208: 2206: 2203: 2201: 2198: 2197: 2195: 2191: 2185: 2182: 2180: 2177: 2175: 2172: 2170: 2167: 2165: 2162: 2160: 2157: 2155: 2152: 2150: 2147: 2145: 2142: 2140: 2137: 2135: 2132: 2130: 2127: 2125: 2122: 2120: 2117: 2115: 2112: 2110: 2107: 2105: 2102: 2101: 2099: 2095: 2089: 2086: 2084: 2081: 2079: 2076: 2074: 2071: 2070: 2068: 2066: 2062: 2056: 2053: 2051: 2048: 2046: 2043: 2041: 2038: 2036: 2033: 2031: 2028: 2026: 2023: 2021: 2018: 2017: 2015: 2013: 2009: 1999: 1996: 1994: 1991: 1989: 1986: 1984: 1981: 1980: 1978: 1974: 1968: 1965: 1961: 1958: 1956: 1953: 1952: 1951: 1948: 1947: 1945: 1941: 1935: 1932: 1930: 1927: 1923: 1920: 1918: 1915: 1913: 1910: 1909: 1908: 1905: 1903: 1900: 1898: 1895: 1893: 1890: 1888: 1885: 1883: 1880: 1878: 1875: 1874: 1872: 1868: 1865: 1863: 1859: 1853: 1850: 1848: 1845: 1843: 1840: 1838: 1835: 1833: 1830: 1828: 1825: 1823: 1820: 1816: 1813: 1811: 1808: 1806: 1803: 1802: 1801: 1798: 1796: 1793: 1791: 1788: 1784: 1781: 1779: 1776: 1774: 1771: 1769: 1766: 1764: 1761: 1759: 1756: 1754: 1751: 1750: 1749: 1746: 1744: 1741: 1739: 1736: 1732: 1729: 1727: 1724: 1723: 1722: 1719: 1718: 1716: 1714: 1713:Single-winner 1710: 1706: 1704: 1700: 1693: 1689: 1682: 1677: 1675: 1670: 1668: 1663: 1662: 1659: 1653:28(1):368–82. 1652: 1648: 1645: 1644: 1633: 1626: 1623: 1618: 1614: 1609: 1604: 1600: 1596: 1592: 1585: 1582: 1577: 1573: 1569: 1567:9781614994183 1563: 1559: 1555: 1551: 1547: 1540: 1537: 1526: 1522: 1516: 1513: 1509: 1499: 1495: 1488: 1485: 1481: 1471: 1467: 1463: 1457: 1454: 1450: 1440: 1436: 1432: 1426: 1423: 1418: 1414: 1410: 1406: 1402: 1395: 1392: 1388: 1377: 1373: 1369: 1365: 1361: 1357: 1351: 1348: 1343: 1339: 1335: 1328: 1325: 1321: 1316: 1312: 1308: 1301: 1298: 1293: 1289: 1285: 1281: 1277: 1273: 1268: 1263: 1259: 1255: 1254:Public Choice 1248: 1246: 1244: 1240: 1235: 1231: 1227: 1220: 1218: 1216: 1214: 1212: 1210: 1208: 1204: 1197: 1195: 1193: 1189: 1185: 1181: 1177: 1173: 1165: 1163: 1160: 1158: 1154: 1149: 1147: 1143: 1139: 1135: 1131: 1127: 1123: 1119: 1115: 1111: 1106: 1104: 1096: 1094: 1092: 1088: 1084: 1079: 1076: 1074: 1070: 1065: 1063: 1058: 1051: 1049: 1047: 1042: 1040: 1035: 1033: 1029: 1024: 1022: 1018: 1013: 1009: 1007: 1004: 1003:mathematician 995: 989:Nanson method 988: 986: 984: 980: 976: 973:(also called 972: 968: 967:Nanson method 964: 960: 957: 945: 940: 938: 933: 931: 926: 925: 923: 922: 919: 914: 906: 901: 896: 894: 889: 884: 883: 881: 880: 873: 870: 868: 865: 863: 862:May's theorem 860: 858: 855: 853: 850: 849: 848: 847: 840: 837: 835: 832: 830: 827: 825: 822: 820: 817: 816: 815: 814: 808: 803: 802: 795: 792: 790: 787: 785: 782: 780: 777: 776: 775: 774: 773: 772:majority rule 770:Paradoxes of 764: 761: 759: 756: 754: 751: 749: 746: 745: 744: 743: 742: 732: 729: 728: 727: 724: 722: 719: 717: 714: 713: 712: 711: 704: 701: 699: 696: 694: 691: 689: 686: 685: 684: 679: 674: 673: 666: 663: 659: 656: 655: 654: 651: 650: 649: 648: 639: 636: 634: 631: 629: 626: 625: 624: 621: 615: 612: 610: 607: 606: 605: 602: 598: 593: 589: 587: 582: 578: 577: 576: 573: 572: 571: 570: 566: 562: 559: 557: 554: 552: 549: 547: 544: 543: 542: 541: 536: 535: 534: 528: 525: 523: 520: 519: 518: 513: 512:Mixed systems 508: 507: 500: 497: 493: 490: 489: 488: 485: 484: 483: 482: 481: 473: 472:Random ballot 470: 468: 465: 463: 460: 456: 453: 451: 448: 447: 446: 443: 442: 441: 440: 439: 431: 428: 426: 423: 421: 418: 416: 413: 412: 411: 410: 409: 401: 398: 396: 393: 391: 388: 386: 383: 382: 381: 380: 379: 369: 366: 364: 361: 359: 356: 354: 351: 349: 346: 345: 344: 341: 337: 334: 332: 329: 327: 324: 322: 319: 318: 317: 316:Apportionment 314: 313: 312: 311: 305: 300: 299: 292: 289: 287: 284: 282: 279: 277: 274: 273: 272: 271: 270: 261: 257: 252: 251:Antiplurality 249: 246: 242: 237: 234: 231: 227: 222: 219: 218: 217: 216: 215: 205: 202: 200: 197: 195: 192: 190: 187: 186: 185: 182: 180: 179:Condorcet-IRV 177: 176: 175: 174: 173: 163: 158: 154: 152: 147: 143: 142: 141: 138: 134: 131: 130: 128: 123: 118: 115: 113: 110: 109: 108: 106: 99: 94: 93: 86: 82: 79: 77: 74: 72: 69: 67: 64: 62: 61:Social choice 59: 58: 56: 55: 49: 45: 44: 41: 37: 36:Social choice 33: 29: 25: 21: 20: 2267: 2261: 1877:Mixed-member 1862:Proportional 1837:Score voting 1778:Ranked pairs 1772: 1697:Part of the 1696: 1625: 1598: 1594: 1584: 1549: 1545: 1539: 1528:. Retrieved 1524: 1515: 1507: 1501:. Retrieved 1497: 1492:Foley, Ned. 1487: 1479: 1473:. Retrieved 1469: 1456: 1448: 1442:. Retrieved 1438: 1425: 1408: 1404: 1394: 1385: 1379:. Retrieved 1367: 1350: 1341: 1337: 1327: 1318: 1314: 1310: 1300: 1257: 1253: 1233: 1229: 1194:until 1983. 1169: 1161: 1150: 1107: 1100: 1080: 1077: 1066: 1059: 1055: 1045: 1043: 1038: 1036: 1025: 1014: 1010: 1000: 978: 974: 970: 966: 953: 845: 844: 811: 769: 768: 753:Exaggeration 739: 738: 709: 708: 682: 646: 645: 614:Mixed ballot 569:Compensatory 567: 540:compensatory 537: 532: 516: 478: 477: 436: 435: 406: 405: 376: 375: 363:List-free PR 308: 276:Score voting 267: 266: 212: 211: 199:Ranked pairs 170: 169: 102: 2220:Spoilt vote 1983:Droop quota 1922:Schulze STV 1897:Rural–urban 1842:STAR voting 1738:Borda count 1548:. ECAI'14. 1182:Diocese of 1157:NP-complete 1087:Eric Maskin 956:Borda count 653:Single vote 556:Conditional 551:Coexistence 400:Quota Borda 390:Schulze STV 348:Closed list 291:STAR voting 236:Borda count 2239:Comparison 1993:Hare quota 1943:Allocation 1929:Spare vote 1917:Hare-Clark 1887:Party-list 1530:2019-06-19 1503:2022-11-20 1475:2022-11-09 1462:Foley, Ned 1444:2022-11-09 1431:Foley, Ned 1411:(2): 323. 1381:2022-11-09 1344:: 304–308. 1236:: 197–240. 1198:References 758:Truncation 487:Cumulative 310:Party-list 85:By country 76:Comparison 2230:Unseating 2225:Sortition 1827:Plurality 1703:Economics 1617:0004-3702 1601:: 20–42. 1417:2325-7318 1387:Democrat. 1376:0190-8286 1317:: 42–52. 1292:154538772 1284:0048-5829 1262:CiteSeerX 1184:Melbourne 1008:in 1882. 665:Dual-vote 358:Panachage 353:Open list 343:List type 221:Plurality 117:Two-round 105:plurality 28:Economics 2283:Category 2097:Criteria 2050:Scorporo 1699:politics 1180:Anglican 1174:town of 1140:and the 1124:and the 1032:Approval 1028:plumping 385:Hare STV 24:Politics 22:A joint 2269:Project 1960:D'Hondt 1912:CPO-STV 1870:Systems 1576:1399756 395:CPO-STV 245:Baldwin 194:Schulze 189:Minimax 107:methods 2263:Portal 2200:Ballot 1976:Quotas 1705:series 1615:  1574:  1564:  1415:  1374:  1290:  1282:  1264:  1136:, the 1132:, the 1120:, the 1116:, the 260:Coombs 30:series 2193:Other 2012:Mixed 1635:(PDF) 1572:S2CID 1288:S2CID 1015:If a 597:'MMP' 586:'AMS' 1701:and 1613:ISSN 1562:ISBN 1413:ISSN 1372:ISSN 1280:ISSN 1172:U.S. 1085:and 969:and 954:The 538:Non- 492:SNTV 81:List 38:and 26:and 2025:MMP 1603:doi 1599:217 1554:doi 1550:263 1272:doi 979:TVR 977:or 256:el. 241:el. 230:IRV 226:el. 2285:: 2266:— 1611:. 1597:. 1593:. 1570:. 1560:. 1523:. 1506:. 1496:. 1478:. 1468:. 1447:. 1437:. 1409:21 1407:. 1403:. 1384:. 1370:. 1366:. 1358:; 1342:46 1340:. 1336:. 1315:39 1313:. 1309:. 1286:. 1278:. 1270:. 1258:54 1256:. 1242:^ 1234:19 1232:. 1228:. 1206:^ 1148:. 592:NZ 581:UK 157:US 146:UK 129:) 122:US 1680:e 1673:t 1666:v 1637:. 1619:. 1605:: 1578:. 1556:: 1533:. 1419:. 1294:. 1274:: 1039:n 943:e 936:t 929:v 594:: 583:: 262:) 253:( 247:) 238:( 232:) 223:( 159:: 148:: 124:: 119:( 87:) 83:(

Index

Politics
Economics
Social choice
electoral systems

Social choice
Mechanism design
Comparative politics
Comparison
List
By country
Single-winner methods
plurality
First preference plurality (FPP)
Two-round
US
Jungle primary
Partisan primary
Instant-runoff
UK
Alternative vote
US
Ranked-choice (RCV)
Condorcet methods
Condorcet-IRV
Round-robin voting
Minimax
Schulze
Ranked pairs
Maximal lottery

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