English

Nash Equilibrium and Axiom of Choice Are Equivalent

Logic 2023-06-06 v1 Theoretical Economics

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.

Keywords

Cite

@article{arxiv.2306.01790,
  title  = {Nash Equilibrium and Axiom of Choice Are Equivalent},
  author = {Conrad Kosowsky},
  journal= {arXiv preprint arXiv:2306.01790},
  year   = {2023}
}

Comments

4 pages