The Replicator Equation as an Inference Dynamic

Mathematics – Dynamical Systems

Scientific paper

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Added a discussion of the discrete dynamic.

Scientific paper

The replicator equation is interpreted as a continuous inference equation and a formal similarity between the discrete replicator equation and Bayesian inference is described. Further connections between inference and the replicator equation are given including a discussion of information divergences and exponential families as solutions for the replicator dynamic, using Fisher information and information geometry.

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