Stochastic stability in spatial three-player games

TL;DR

This paper investigates how the long-term behavior of stochastic dynamics in spatial three-player games is influenced by the number of players and noise levels, focusing on the stability of Nash equilibria.

Contribution

It provides new insights into the stochastic stability of Nash equilibria in spatial three-player games considering varying player numbers and noise.

Findings

Stochastic stability depends on noise level and number of players.

Certain Nash equilibria are more stable under specific conditions.

The analysis reveals thresholds for stability changes.

Abstract

We discuss long-run behavior of stochastic dynamics of many interacting agents. In particular, three-player spatial games are studied. The effect of the number of players and the noise level on the stochastic stability of Nash equilibria is investigated.