Time Average Replicator and Best Reply Dynamics

Josef Hofbauer, Sylvain Sorin and Yannick Viossat

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Abstract: 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.

Keywords: replicator dynamics; best reply dynamics; logit map; perturbed differential inclusion; internally chain transitive set; attractor (search for similar items in EconPapers)
Date: 2009-05
Note: View the original document on HAL open archive server: https://hal.science/hal-00360767
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Citations: View citations in EconPapers (22)

Published in Mathematics of Operations Research, 2009, 34 (2), pp.263-269. ⟨10.1287/moor.1080.0359⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00360767

DOI: 10.1287/moor.1080.0359

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