Markov-Nash equilibria in mean-field games with discounted cost
dc.contributor.author | Saldı, Naci | |
dc.contributor.author | Başar, T. | |
dc.contributor.author | Raginsky, M. | |
dc.date.accessioned | 2020-05-15T15:46:05Z | |
dc.date.available | 2020-05-15T15:46:05Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 0363-0129 | en_US |
dc.identifier.uri | http://hdl.handle.net/10679/6571 | |
dc.identifier.uri | https://epubs.siam.org/doi/abs/10.1137/17M1112583 | |
dc.description.abstract | In 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.sponsorship | Air Force Office of Scientific Research ; Office of Naval Research | |
dc.language.iso | eng | en_US |
dc.publisher | Society for Industrial and Applied Mathematics Publications | en_US |
dc.relation.ispartof | SIAM Journal on Control and Optimization | |
dc.rights | restrictedAccess | |
dc.title | Markov-Nash equilibria in mean-field games with discounted cost | en_US |
dc.type | Article | en_US |
dc.description.version | Publisher version | en_US |
dc.peerreviewed | yes | en_US |
dc.publicationstatus | Published | en_US |
dc.contributor.department | Özyeğin University | |
dc.contributor.authorID | (ORCID 0000-0002-2677-7366 & YÖK ID 283091) Saldı, Naci | |
dc.contributor.ozuauthor | Saldı, Naci | |
dc.identifier.volume | 56 | en_US |
dc.identifier.issue | 6 | en_US |
dc.identifier.startpage | 4256 | en_US |
dc.identifier.endpage | 4287 | en_US |
dc.identifier.wos | WOS:000453785900014 | |
dc.identifier.doi | 10.1137/17M1112583 | en_US |
dc.subject.keywords | Mean-field games | en_US |
dc.subject.keywords | Nash equilibrium | en_US |
dc.subject.keywords | Discounted cost | en_US |
dc.identifier.scopus | SCOPUS:2-s2.0-85060054062 | |
dc.contributor.authorMale | 1 | |
dc.relation.publicationcategory | Article - International Refereed Journal - Institutional Academic Staff |
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