Escort evolutionary game theory
Copyright policy )Escort evolutionary game theory
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
- University of California, Los Angeles United States
Mathematics - Differential Geometry, FOS: Computer and information sciences, information geometry, Evolutionary games, replicator equation, Computer Science - Information Theory, Information Theory (cs.IT), information divergence, Dynamical Systems (math.DS), 37N25, 91A22, 94A15, Differential Geometry (math.DG), FOS: Mathematics, Mathematics - Dynamical Systems, evolutionary game theory
Mathematics - Differential Geometry, FOS: Computer and information sciences, information geometry, Evolutionary games, replicator equation, Computer Science - Information Theory, Information Theory (cs.IT), information divergence, Dynamical Systems (math.DS), 37N25, 91A22, 94A15, Differential Geometry (math.DG), FOS: Mathematics, Mathematics - Dynamical Systems, evolutionary game theory
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