Show simple item record

The Splitting Game: Value and Optimal Strategies

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorOliu-Barton, Miquel*
dc.date.accessioned2019-11-26T12:41:19Z
dc.date.available2019-11-26T12:41:19Z
dc.date.issued2018
dc.identifier.issn2153-0785
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20250
dc.language.isoenen
dc.subjectSplitting gameen
dc.subjectGames with incomplete informationen
dc.subjectStochastic gamesen
dc.subjectMertens–Zamir systemen
dc.subjectUniform valueen
dc.subjectState-independent signalingen
dc.subject.ddc515en
dc.titleThe Splitting Game: Value and Optimal Strategiesen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe introduce the dependent splitting game, a zero-sum stochastic game in which the players jointly control a martingale. This game models the transmission of information in repeated games with incomplete information on both sides, in the dependent case: The state variable represents the martingale of posterior beliefs. We establish the existence of the value for any fixed, general evaluation of the stage payoffs, as a function of the initial state. We then prove the convergence of the value functions, as the evaluation vanishes, to the unique solution of the Mertens–Zamir system of equations is established. From this result, we derive the convergence of the values of repeated games with incomplete information on both sides, in the dependent case, to the same function, as the evaluation vanishes. Finally, we establish a surprising result: Unlike repeated games with incomplete information on both sides, the splitting game has a uniform value. Moreover, we exhibit a couple of optimal stationary strategies for which the stage payoff and the state remain constant.en
dc.relation.isversionofjnlnameDynamic Games and Applications
dc.relation.isversionofjnlvol8en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2018-03
dc.relation.isversionofjnlpages157-179en
dc.relation.isversionofdoi10.1007/s13235-017-0216-8en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2019-11-26T12:37:04Z
hal.author.functionaut


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record