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arxiv: 0911.1763 · v3 · submitted 2009-11-09 · 🧮 math.DS · cs.IT· math.IT

The Replicator Equation as an Inference Dynamic

classification 🧮 math.DS cs.ITmath.IT
keywords equationreplicatorinferenceinformationdynamicbayesianconnectionscontinuous
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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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