Imitation Dynamics with Payoff Shocks
Mertikopoulos, Panayotis; Viossat, Yannick (2016), Imitation Dynamics with Payoff Shocks, International Journal of Game Theory, 45, 1, p. 291-320. 10.1007/s00182-015-0505-7
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Article accepté pour publication ou publiéLien vers un document non conservé dans cette base
https://hal.inria.fr/hal-01099014Date
2016Nom de la revue
International Journal of Game TheoryVolume
45Numéro
1Éditeur
Pergamon
Pages
291-320
Identifiant publication
Métadonnées
Afficher la notice complèteRésumé (EN)
We investigate the impact of payoff shocks on the evolution of large populations of myopic players that employ simple strategy revision protocols such as the "imitation of success". In the noiseless case, this process is governed by the standard (deterministic) replicator dynamics; in the presence of noise however, the induced stochastic dynamics are different from previous versions of the stochastic replicator dynamics (such as the aggregate-shocks model of Fudenberg and Harris, 1992). In this context, we show that strict equilibria are always stochastically asymptotically stable, irrespective of the magnitude of the shocks; on the other hand, in the high-noise regime, non-equilibrium states may also become stochastically asymptotically stable and dominated strategies may survive in perpetuity (they become extinct if the noise is low). Such behavior is eliminated if players are less myopic and revise their strategies based on their cumulative payoffs. In this case, we obtain a second order stochastic dynamical system whose attracting states coincide with the game's strict equilibria and where dominated strategies become extinct (a.s.), no matter the noise level.Mots-clés
Dominated strategies; Evolutionary dynamics; Replicator dynamics; Revision protocols; Aggregate payoff shocks; Strict equilibriaPublications associées
Affichage des éléments liés par titre et auteur.
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Laraki, Rida; Mertikopoulos, Panayotis (2015) Article accepté pour publication ou publié
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Laraki, Rida; Mertikopoulos, Panayotis (2012) Article accepté pour publication ou publié
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Lehrer, Ehud; Solan, Eilon; Viossat, Yannick (2011) Article accepté pour publication ou publié
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Viossat, Yannick (2004-12) Document de travail / Working paper
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Viossat, Yannick (2005-05) Document de travail / Working paper