Pairwise comparison dynamics for games with continuous strategy space

• 成果类型: Article
• 署名作者: Cheung, Man-Wah
• 署名单位: University of Wisconsin System; University of Wisconsin Madison
• 刊物名称: JOURNAL OF ECONOMIC THEORY
• ISSN/ISSBN: 0022-0531
• DOI: 10.1016/j.jet.2014.07.001
• 发表日期: 2014
• 页码: 344-375
• 关键词: evolutionary dynamics; Population games; Continuous strategy space

摘要

This paper studies pairwise comparison dynamics for population games with continuous strategy space. We show that the pairwise comparison dynamic is well-defined if certain mild Lipschitz continuity conditions are satisfied. We establish Nash stationarity and positive correlation for pairwise comparison dynamics. Finally, we prove global convergence and local stability under general deterministic evolutionary dynamics in potential games, and global asymptotic stability under pairwise comparison dynamics in contractive games. (C) 2014 Elsevier Inc. All rights reserved.