Time Average Replicator and Best-Reply Dynamics

• 成果类型: Article
• 署名作者: Hofbauer, Josef; Sorin, Sylvain; Viossat, Yannick
• 署名单位: University of Vienna; Centre National de la Recherche Scientifique (CNRS); Sorbonne Universite; heSam Universite; Conservatoire National Arts & Metiers (CNAM); Institut Polytechnique de Paris; Ecole Polytechnique; Universite PSL; Universite Paris-Dauphine
• 刊物名称: MATHEMATICS OF OPERATIONS RESEARCH
• ISSN/ISSBN: 0364-765X
• DOI: 10.1287/moor.1080.0359
• 发表日期: 2009
• 页码: 263-269
• 关键词: stochastic approximations

摘要

Using an explicit representation in terms of the logit map, we show, in a unilateral framework, that the time average of the replicator dynamics is a perturbed solution of the best-reply dynamics.