Feedback Linearization for Replicator Dynamics: A Control Framework for Evolutionary Game Convergence

TL;DR

This paper introduces a control framework using feedback linearization to ensure global convergence in evolutionary games modeled by replicator dynamics, addressing non-convergent cases.

Contribution

It is the first to apply feedback linearization to replicator dynamics for stabilizing evolutionary game systems.

Findings

Successfully stabilizes non-convergent evolutionary games

Guarantees global asymptotic stability of the system

Provides a new control approach for evolutionary game convergence

Abstract

This paper demonstrates the first application of feedback linearization to replicator dynamics, driving the evolution of non-convergent evolutionary games to systems with guaranteed global asymptotic stability.