Time average replicator and best reply dynamics

Viossat, Yannick; Sorin, Sylvain; Hofbauer, Josef

Viossat, Yannick; Sorin, Sylvain; Hofbauer, Josef (2009), Time average replicator and best reply dynamics, Mathematics of Operations Research, 34, 2, p. 263-269. http://dx.doi.org/10.1287/moor.1080.0359

Type

Article accepté pour publication ou publié

External document link

http://hal.archives-ouvertes.fr/hal-00360767/en/

Date

2009-07-09

Journal name

Mathematics of Operations Research

Volume

Number

Pages

263-269

Abstract (EN)

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.

Subjects / Keywords

Replicator dynamics; Best reply dynamics; Logit map; Perturbed differential inclusion; Internally chain transitive set; Attractor

JEL

C72 - Noncooperative Games