Conditional Preferences and their Numerical Representations

Authors

Samuel Drapeau and Asgar Jamneshan

Date

2016

Journal

Journal of Mathematical Economics, 63:106–118

Abstract

This work provides an axiomatic framework to the concept of conditional preference orders based on conditional sets. Conditional numerical representations of such preference orders are introduced and a conditional version of the theorems of Debreu about the existence of such numerical representations is given. The continuous representations follow from a conditional version of Debreu’s Gap Lemma the proof of which is free of any measurable selection arguments but is derived from the existence of a conditional axiom of choice.

Keywords

Conditional Preferences, Utility Theory, Gap Lemma

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