An Effective Replicator Equation for Games with a Continuous Strategy Set

被引：0
作者：
M. Ruijgrok
Th. W. Ruijgrok
机构：
[1] Utrecht University,Mathematical Institute
[2] Utrecht University,Institute for Theoretical Physics
来源：
Dynamic Games and Applications | 2015年 / 5卷
关键词：
Evolutionary games; Replicator equation; Mutation; Dynamic stability; Partial differential equations; MSC 91A22;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：157 / 179
页数：22
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