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dc.contributor.authorMertikopoulos, Panayotis
HAL ID: 1933
ORCID: 0000-0003-2026-9616
dc.contributor.authorViossat, Yannick
dc.date.accessioned2015-01-06T08:37:35Z
dc.date.available2015-01-06T08:37:35Z
dc.date.issued2016
dc.identifier.issn2224-1981
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14491
dc.language.isoenen
dc.subjectDominated strategies
dc.subjectEvolutionary dynamics
dc.subjectReplicator dynamics
dc.subjectRevision protocols
dc.subjectAggregate payoff shocks
dc.subjectStrict equilibria
dc.subject.ddc519en
dc.titleImitation Dynamics with Payoff Shocks
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherCNRS;France
dc.description.abstractenWe 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.
dc.relation.isversionofjnlnameInternational Journal of Game Theory
dc.relation.isversionofjnlvol45
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnldate2016
dc.relation.isversionofjnlpages291-320
dc.relation.isversionofdoi10.1007/s00182-015-0505-7
dc.identifier.urlsitehttps://hal.inria.fr/hal-01099014
dc.relation.isversionofjnlpublisherPergamon
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.description.submittednonen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2016-10-13T09:34:48Z
hal.identifierhal-01270858*
hal.version1*
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