Pure strategy Nash equilibria of large finite-player games and their relationship to non-atomic games

A-Tier
Journal: Journal of Economic Theory
Year: 2020
Volume: 187
Issue: C

Authors (2)

Carmona, Guilherme (University of Surrey) Podczeck, Konrad (not in RePEc)

Score contribution per author:

2.018 = (α=2.02 / 2 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We consider Nash equilibria of large anonymous games (i.e., each player's payoff depends on his choice and the distribution of the choices made by others). We show that pure strategy Nash equilibria exist in all sufficiently large finite-player games with finite action spaces and for generic distributions of players' payoff functions. We also show that equilibrium distributions of non-atomic games are asymptotically implementable in terms of Nash equilibria of large finite-player games. Extensions of these results to games with general compact metric action spaces are provided.

Technical Details

RePEc Handle
repec:eee:jetheo:v:187:y:2020:i:c:s002205312030020x
Journal Field
Theory
Author Count
2
Added to Database
2026-01-25