English

Nash equilibria of games with generalized complementarities

Theoretical Economics 2024-07-02 v1

Abstract

To generalize complementarities for games, we introduce some conditions weaker than quasisupermodularity and the single crossing property. We prove that the Nash equilibria of a game satisfying these conditions form a nonempty complete lattice. This is a purely order-theoretic generalization of Zhou's theorem.

Keywords

Cite

@article{arxiv.2407.00636,
  title  = {Nash equilibria of games with generalized complementarities},
  author = {Lu Yu},
  journal= {arXiv preprint arXiv:2407.00636},
  year   = {2024}
}
R2 v1 2026-06-28T17:23:56.431Z