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of selecting one item over another from a pool of many items is not affected by the presence or absence of other items in the pool. Selection of this kind is said to have "
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Luce proposed two choice axioms. The second one is usually meant by "Luce's choice axiom", as the first one is usually called "
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777:: Any matching law selection rule satisfies Luce's choice axiom. Conversely, if
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712:{\displaystyle P(a\mid A)={\frac {u(a)}{\sum _{a'\in A}u(a')}}}
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563:{\displaystyle P(a\mid A)=P(a\mid B)\sum _{b\in B}P(b\mid A)}
866:'s tendency to choose one brand of product over another.
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Individual choice behavior : a theoretical analysis
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Luce's choice axiom 1 is implied by choice axiom 2.
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of possible outcomes, and consider a selection rule
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391:{\displaystyle P(a\mid A)=0,P(b\mid A)>0}
99:It has been suggested that this article be
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143:independence from irrelevant alternatives
74:Learn how and when to remove this message
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106:Independence of irrelevant alternatives
969:"The choice axiom after twenty years"
938:"The choice axiom after twenty years"
907:. Mineola, N.Y.: Dover Publications.
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245:a finite set, the selector selects
973:Journal of Mathematical Psychology
942:Journal of Mathematical Psychology
756:{\displaystyle u:A\to (0,\infty )}
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429:{\displaystyle a,b\in B\subset A}
330:Luce's choice axiom 1 (IIA): if
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843:{\displaystyle a\in A\subset X}
811:{\displaystyle P(a\mid A)>0}
763:. This is sometimes called the
595:{\displaystyle a\in B\subset A}
218:{\displaystyle a\in A\subset X}
998:Luce, R. Duncan (2008-12-02).
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936:Luce, R.Duncan (June 1977).
862:, it can be used to model a
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313:{\displaystyle P(a\mid A)}
1025:10.4249/scholarpedia.8077
116:Proposed since July 2024.
901:Luce, R. Duncan (2005).
609:Matching law formulation
137:(1959), states that the
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278:{\displaystyle A}
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186:{\displaystyle P}
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854:Applications
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615:Matching law
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50:Please help
42:
619:Define the
56:introducing
888:References
1034:1941-6016
923:874031603
860:economics
835:⊂
829:∈
794:∣
748:∞
736:→
682:∈
670:∑
640:∣
587:⊂
581:∈
552:∣
535:∈
528:∑
518:∣
497:∣
453:∣
421:⊂
415:∈
374:∣
347:∣
327:" (IIA).
302:∣
210:⊂
204:∈
145:" (IIA).
1048:Category
864:consumer
818:for all
700:′
678:′
570:for any
149:Overview
64:May 2024
1012:Bibcode
775:Theorem
765:softmax
111:Discuss
52:improve
1032:
921:
911:
101:merged
265:from
225:with
103:into
37:, or
1030:ISSN
919:OCLC
909:ISBN
803:>
383:>
1020:doi
981:doi
950:doi
880:In
869:In
858:In
125:In
109:. (
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