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Nash and Limit Equilibria of Games with a Continuum of Players

dc.contributor.authorCarmona, Guilherme
dc.date.accessioned2019-10-07T10:37:50Z
dc.date.available2019-10-07T10:37:50Z
dc.date.issued2003-11-18
dc.description.abstractWe show that a strategy is a Nash equilibrium in a game with a continuum of players if and only if there exists a sequence of finite games such that its restriction is an εn-equilibria, with εn converging to zero. In our characterization, the sequence of finite games approaches the continuum game in the sense that the set of players and the distribution of characteristics and actions in the finite games converge to those of the continuum game. These results render approximate equilibria of large finite economies as an alternative way of obtaining strategic insignificance. Also, they suggest defining a refinement of Nash equilibria for games with a continuum of agents as limit points of equilibria of finite games. This allows us to discard those Nash equilibria that are artifacts of the continuum model, making limit equilibrium a natural equilibrium concept for games with a continuum of players.pt_PT
dc.description.versionN/Apt_PT
dc.identifier.citationCarmona, Guilherme, Nash and Limit Equilibria of Games with a Continuum of Players (November, 2003). FEUNL Working Paper Series No. 442pt_PT
dc.identifier.urihttp://hdl.handle.net/10362/83488
dc.language.isoengpt_PT
dc.peerreviewednopt_PT
dc.publisherNova SBEpt_PT
dc.relation.ispartofseriesFEUNL Working Paper Series;442
dc.subjectNash equilibriumpt_PT
dc.subjectLimit equilibriumpt_PT
dc.subjectNoncooperative gamespt_PT
dc.subjectContinuum of playerspt_PT
dc.titleNash and Limit Equilibria of Games with a Continuum of Playerspt_PT
dc.typeworking paper
dspace.entity.typePublication
person.familyNameCarmona
person.givenNameGuilherme
person.identifier.orcid0000-0002-3017-2415
person.identifier.scopus-author-id23396042200
rcaap.rightsopenAccesspt_PT
rcaap.typeworkingPaperpt_PT
relation.isAuthorOfPublicationa9b22c26-9106-417f-8faa-2383d6b717ab
relation.isAuthorOfPublication.latestForDiscoverya9b22c26-9106-417f-8faa-2383d6b717ab

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