Stability of the replicator dynamics for games in metric spaces

被引：5

作者：

Mendoza-Palacios, Saul ^{[1
]}

Hernández-Lerma, Onésimo ^{[2
]}

机构：

[1] Centro de Estudios Económicos, El Colegio de México, Entronque Picacho-ajusco 20, Fuentes del Pedregal, México City,10740, Mexico

[2] Mathematics Department, CINVESTAV-IPN, A. Postal 14-740, México City,07000, Mexico

来源：

Journal of Dynamics and Games | 2017年 / 4卷 / 04期

关键词：

Dynamics - Set theory - Topology;

D O I：

10.3934/jdg.2017017

中图分类号：

学科分类号：

摘要：

In this paper we study the stability of the replicator dynamics for symmetric games when the strategy set is a separable metric space. In this case the replicator dynamics evolves in a space of measures. We study stability criteria with respect to different topologies and metrics on the space of probability measures. This allows us to establish relations among Nash equilibria (of a certain normal form game) and the stability of the replicator dynamics in different metrics. Some examples illustrate our results. © 2017, American Institute of Mathematical Sciences.

引用

页码：319 / 333