Escort Evolutionary Game Theory

TL;DR

This paper introduces escort replicator dynamics, a new class of evolutionary game models based on information geometry and generalized entropies, extending classical concepts with thermodynamic insights.

Contribution

It develops the escort replicator equation and extends fundamental evolutionary game theory concepts using information-geometric and thermodynamic principles.

Findings

Introduction of escort replicator dynamics

Extension of Fisher's Fundamental theorem

Generalizations of Shahshahani geometry

Abstract

A family of replicator-like dynamics, called the escort replicator equation, is constructed using information-geometric concepts and generalized information entropies and diverenges from statistical thermodynamics. Lyapunov functions and escort generalizations of basic concepts and constructions in evolutionary game theory are given, such as an escorted Fisher's Fundamental theorem and generalizations of the Shahshahani geometry.