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.

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.

• Item Type: MPRA Paper
• Language: English
• Keywords: Evolutionary games; Replicator equation; Mutation; Dynamic stability; Partial differential equations
• Subjects: C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games; C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C73 - Stochastic and Dynamic Games ; Evolutionary Games ; Repeated Games

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