Nash Equilibrium and Axiom of Choice Are Equivalent

2023/05/31 by Conrad Kosowsky, Kosowsky, Conrad
Decision Sciences · Economics, Econometrics and Finance · #Auction Theory and Applications #Economic theories and models #FOS: Economics and business #FOS: Mathematics #Game Theory and Applications #Logic (math.LO) #Theoretical Economics (econ.TH)

paper · pdf · doi:10.48550/arxiv.2306.01790

openalex publication_date 2023/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, I prove that existence of pure-strategy Nash equilibrium in games with infinitely many players is equivalent to the axiom of choice.

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