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An effective replicator equation for games with a continuous strategy set

Ruijgrok, Matthijs and Ruijgrok, Theo (2013): An effective replicator equation for games with a continuous strategy set.

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Abstract

The replicator equation for a two person symmetric game, which has an interval of the real line as strategy space, is extended with a mutation term. Assuming that the distribution of the strategies has a continuous density, a partial differential equation for this density is derived. The equation is analysed for two examples. A connection is made with Adaptive Dynamics.

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