An effective replicator equation for games with a continuous strategy set

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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Year of publication:	2013-12-13
Authors:	Ruijgrok, Matthijs ; Ruijgrok, Theo
Institutions:	Volkswirtschaftliche Fakultät, Ludwig-Maximilians-Universität München
Subject:	Evolutionary games \| Replicator equation \| Mutation \| Dynamic stability \| Partial differential equations

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Extent:	application/pdf
Series:	MPRA Paper.
Type of publication:	Book / Working Paper
Classification:	C72 - Noncooperative Games ; C73 - Stochastic and Dynamic Games
Source:	RePEc - Research Papers in Economics

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