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On justifiable choice functions over opportunity sets

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  • Dan Qin

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

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  • Dan Qin, 2015. "On justifiable choice functions over opportunity sets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 269-285, September.
    • Handle: RePEc:spr:sochwe:v:45:y:2015:i:2:p:269-285
    DOI: 10.1007/s00355-015-0890-7
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    Cited by:

    1. Dan Qin & Matthew Ryan, 2016. "Rationalizability of Plott consistent choice functions: a corrigendum," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 761-762, October.
    2. Jimena Galindo & Levent Ülkü, 2020. "Diversity relations over menus," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(2), pages 229-242, August.

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