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The Replicator Equation as an Inference Dynamic (0911.1763v3)
Published 9 Nov 2009 in math.DS, cs.IT, and math.IT
Abstract: 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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