Escort Evolutionary Game Theory

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.

Minor typo correction

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• Momentum Accelerates Evolutionary Dynamics
• Survival of the strictest: Stable and unstable equilibria under regularized learning with partial information
• Online Optimization in Games via Control Theory: Connecting Regret, Passivity and Poincaré Recurrence
• Mean Evolutionary Dynamics for Stochastically Switching Environments
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• Building Temperature Control: A Distributed Escort Dynamical Approach