An effective replicator equation for games with a continuous strategy set

M. Ruijgrok; Th.W. Ruijgrok

doi:10.1007/s13235-014-0118-y

An effective replicator equation for games with a continuous strategy set

M. Ruijgrok^*, Th.W. Ruijgrok

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Pages (from-to)	1-21
Number of pages	21
Journal	Dynamic Games and Applications
Volume	5
DOIs	https://doi.org/10.1007/s13235-014-0118-y
Publication status	Published - Jun 2015

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MPRA paper 52198
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s13235-014-0118-yFinal published version, 2.22 MBLicence: Taverne

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title = "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.",

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AB - 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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JO - Dynamic Games and Applications

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An effective replicator equation for games with a continuous strategy set

Abstract

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