Nash equilibria of quasisupermodular games

TL;DR

This paper investigates the existence and structure of Nash equilibria in quasisupermodular games, providing new theoretical results that extend previous theorems in the field.

Contribution

It presents three new theorems on Nash equilibria for quasisupermodular games, including order-theoretic and topological generalizations of existing results.

Findings

Order-theoretic existence theorem for Nash equilibria

Topological generalizations of Zhou's and Calciano's theorems

Enhanced understanding of equilibrium structure in quasisupermodular games

Abstract

We prove three results on the existence and structure of Nash equilibria for quasisupermodular games. A theorem is purely order-theoretic, and the other two involve topological hypotheses. Our topological results genralize Zhou's theorem (for supermodular games) and Calciano's theorem.