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dc.contributor.authorSaldı, Naci
dc.contributor.authorBaşar, T.
dc.contributor.authorRaginsky, M.
dc.date.accessioned2020-05-15T15:46:05Z
dc.date.available2020-05-15T15:46:05Z
dc.date.issued2018
dc.identifier.issn0363-0129en_US
dc.identifier.urihttp://hdl.handle.net/10679/6571
dc.identifier.urihttps://epubs.siam.org/doi/abs/10.1137/17M1112583
dc.description.abstractIn this paper, we consider discrete-time dynamic games of the mean-field type with a finite number $N$ of agents subject to an infinite-horizon discounted-cost optimality criterion. The state space of each agent is a Polish space. At each time, the agents are coupled through the empirical distribution of their states, which affects both the agents' individual costs and their state transition probabilities. We introduce a new solution concept of the Markov--Nash equilibrium, under which a policy is player-by-player optimal in the class of all Markov policies. Under mild assumptions, we demonstrate the existence of a mean-field equilibrium in the infinite-population limit $N \to \infty$, and then show that the policy obtained from the mean-field equilibrium is approximately Markov--Nash when the number of agents $N$ is sufficiently large.en_US
dc.description.sponsorshipAir Force Office of Scientific Research ; Office of Naval Research
dc.language.isoengen_US
dc.publisherSociety for Industrial and Applied Mathematics Publicationsen_US
dc.relation.ispartofSIAM Journal on Control and Optimization
dc.rightsrestrictedAccess
dc.titleMarkov-Nash equilibria in mean-field games with discounted costen_US
dc.typeArticleen_US
dc.description.versionPublisher versionen_US
dc.peerreviewedyesen_US
dc.publicationstatusPublisheden_US
dc.contributor.departmentÖzyeğin University
dc.contributor.authorID(ORCID 0000-0002-2677-7366 & YÖK ID 283091) Saldı, Naci
dc.contributor.ozuauthorSaldı, Naci
dc.identifier.volume56en_US
dc.identifier.issue6en_US
dc.identifier.startpage4256en_US
dc.identifier.endpage4287en_US
dc.identifier.wosWOS:000453785900014
dc.identifier.doi10.1137/17M1112583en_US
dc.subject.keywordsMean-field gamesen_US
dc.subject.keywordsNash equilibriumen_US
dc.subject.keywordsDiscounted costen_US
dc.identifier.scopusSCOPUS:2-s2.0-85060054062
dc.contributor.authorMale1
dc.relation.publicationcategoryArticle - International Refereed Journal - Institutional Academic Staff


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