Escort Evolutionary Game Theory

Details Escort Evolutionary Game Theory Escort Evolutionary Game Theory

2009-11-09

arxiv.org/abs/0911.1764v5

Physica D: Nonlinear Phenomena, Volume 240, Issue 18, 1 September 2011, Pages 1411-1415

Mathematics

Dynamical Systems

Minor typo correction

Scientific paper

10.1016/j.physd.2011.04.008

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.

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