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Lexicographic Preferences over Random Availability Functions

2025/05/19 by Somdeb Lahiri, Lahiri, Somdeb
Decision Sciences · Economics, Econometrics and Finance · #Decision-Making and Behavioral Economics #FOS: Economics and business #FOS: Mathematics #Game Theory and Applications #Game Theory and Voting Systems #Optimization and Control (math.OC) #Theoretical Economics (econ.TH)

paper · pdf · doi:10.48550/arxiv.2505.12997

openalex publication_date 2025/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide an axiomatic characterization of lexicographic preferences over the set of all random availability functions using two assumptions. The first assumption is strong monotonicity, which in our framework is equivalent to the strong dominance property in microeconomics. The second assumption is independence of worse alternatives and we show that a weaker version of the same suffices for our purpose.

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