Preference-based choice functions: A generalized approach

Synthese 171 (2):257 - 269 (2009)
Although choice and preference are distinct categories, it may in some contexts be a useful idealization to treat choices as fully determined by preferences. In order to construct a general model of such preference-based choice, a method to derive choices from preferences is needed that yields reasonable outcomes for all preference relations, even those that are incomplete and contain cycles. A generalized choice function is introduced for this purpose. It is axiomatically characterized and is shown to compare favourably with alternative constructions.
Keywords Choice  Choice function  Preference  Preference relation  Preference cycles  Cyclic preferences  Incomplete preferences
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DOI 10.2307/40495997
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