Evolutionary Stability Against Multiple Mutations

TL;DR

This paper introduces a new concept of robustness against multiple mutations in evolutionary stability, extending the traditional ESS framework and exploring its implications.

Contribution

It defines and analyzes robustness against multiple mutations, providing new formulations and insights into evolutionary stability.

Findings

Established formal definitions of robustness against multiple mutations.

Derived equivalent formulations and theoretical consequences.

Enhanced understanding of stability in evolutionary game dynamics.

Abstract

It is known (see e.g. Weibull (1995)) that ESS is not robust against multiple mutations. In this article, we introduce robustness against multiple mutations and study some equivalent formulations and consequences.