Infinite horizon for symetric strategy population game

TL;DR

This paper explores the long-term behavior of symmetric strategy population games, emphasizing the importance of reversible dynamics and extending previous studies to broader classes of such games.

Contribution

It introduces an extension of infinite horizon analysis to symmetric strategy population games beyond known classes like potential games.

Findings

Reversible dynamics are crucial for predicting long-term behavior.

Known classes include 2-strategy and potential games with exponential protocols.

The study extends the analysis to more general symmetric strategy games.

Abstract

To predict the behavior of a population game when time becomes very long, the process that characterizes the evolution of our game dynamics must be reversible. Known games satisfying this are 2 strategy games as well as potential games with an exponential protocol. We will try to extend the study of infinite horizons for what are called symetric strategy games.