Time Average Replicator and Best-Reply Dynamics

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Mathematics of operations research 2009-05, Vol.34 (2), p.263-269
Hauptverfasser:	Hofbauer, Josef, Sorin, Sylvain, Viossat, Yannick
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Approximation Arithmetic mean attractor best-reply dynamics Differentials Dynamical Systems Economics and Finance Evolutionary algorithms Evolutionary games Game theory Games Heuristics Humanities and Social Sciences internally chain transitive set logit map Mathematics Nash equilibrium Payoff matrix perturbed differential inclusion Population dynamics replicator dynamics Studies
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Beschreibung
Zusammenfassung:	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.
ISSN:	0364-765X 1526-5471
DOI:	10.1287/moor.1080.0359