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Dynamic Games and Applications

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01-06-2015

An Effective Replicator Equation for Games with a Continuous Strategy Set

Authors: M. Ruijgrok, Th. W. Ruijgrok

Published in: Dynamic Games and Applications | Issue 2/2015

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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 the canonical equation from adaptive dynamics and the continuous stable strategy criterion.

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Title: An Effective Replicator Equation for Games with a Continuous Strategy Set
Authors: M. Ruijgrok
Th. W. Ruijgrok
Publication date: 01-06-2015
Publisher: Springer US
Published in: Dynamic Games and Applications / Issue 2/2015
Print ISSN: 2153-0785
Electronic ISSN: 2153-0793
DOI: https://doi.org/10.1007/s13235-014-0118-y

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