On justifiable choice functions over opportunity sets

Dan Qin ()

Social Choice and Welfare, 2015, vol. 45, issue 2, 269-285

Abstract: A choice function over opportunity sets is justifiable if there exists a choice function over alternatives such that an opportunity set (menu) is chosen from a collection of menus if and only if the former contains alternatives which reach the highest instrumentalist value, in terms of the choice function over alternatives, of all menus combined. This article explores necessary and sufficient conditions for justifiable choice function by general choice function, Chernoff consistent choice function, and path-independent choice function. This article also considers the condition under which the underlying choice function is binary, which leads to characterizations for binary-justifiability by acyclic, quasi-transitive, and transitive preferences. Copyright Springer-Verlag Berlin Heidelberg 2015

Date: 2015
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DOI: 10.1007/s00355-015-0890-7

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