Pairwise comparison dynamics for games with continuous strategy space

Man-Wah Cheung

Journal of Economic Theory, 2014, vol. 153, issue C, 344-375

Abstract: 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.

Keywords: Evolutionary dynamics; Population games; Continuous strategy space (search for similar items in EconPapers)
JEL-codes: C72 C73 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (33)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jetheo:v:153:y:2014:i:c:p:344-375

DOI: 10.1016/j.jet.2014.07.001

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