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Numerical representation of choice functions

Josep E. Peris, M. Carmen Sánchez and Begoña Subiza

Annals of Operations Research, 1998, vol. 80, issue 0, 10 pages

Abstract: In the social sciences, the most common description of individual choice consistsof assuming that the agent has an a priori ordering, or a ranking over the differentalternatives, that is, the agent knows his preference relation. Then, rational behaviorrequires choosing the best elements, according to this criterion, in every feasibleset presented for choice (i.e., to choose the maximal elements).A different approach is given by removing the assumption that the agent knowsa priori his preference relation. In this case, the way of analyzing the rationality ofthe choice function consists of observing the different choices individuals make whendifferent subsets of alternatives are presented for choice, and comparing them. Thus,rationality is based on the analysis of some coherent properties between the differentchoices individuals make when the feasible set changes. Copyright Kluwer Academic Publishers 1998

Date: 1998
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DOI: 10.1023/A:1018951511823

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