Characteristic functions for cooperative interval games

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dc.authoridSavaşkan, Gönül Selin / 0000-0002-9978-6941
dc.contributor.authorParilina, Elena M.
dc.contributor.authorSavaşkan, Gönül Selin
dc.contributor.authorZaccour, Georges
dc.contributor.authorAlparslan Gök, Sırma Zeynep
dc.date.accessioned2025-01-27T20:43:33Z
dc.date.available2025-01-27T20:43:33Z
dc.date.issued2025
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractGames where players' payoffs are given by intervals, instead of scalars, provide a conceptually attractive framework to account for uncertainty and vagueness in decision-making processes. In a cooperative game, one needs to determine the characteristic function values for all possible coalitions. In this paper, we extend the classical alpha and beta characteristic functions (CFs), initially defined for scalar payoffs, to cooperative interval games. Both characteristic functions are based on a solution of zero-sum interval games with the coalition being the maximizer player and the anti-coalition the minimizer player. We propose an algorithm to define the interval values of a cooperative game in the form of alpha and beta CFs and illustrate its use on an example with three players. Further, we discuss some properties of cooperative interval games and calculate an interval Shapley value. As expected, different characteristic functions lead to different Shapley values.
dc.description.sponsorshipGERAD; HEC Montrieal
dc.description.sponsorshipThe second author thanks GERAD and HEC Montrieal for their financial support and hospitality.
dc.identifier.doi10.3934/jdg.2024019
dc.identifier.endpage182
dc.identifier.issn2164-6066
dc.identifier.issn2164-6074
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85217514143
dc.identifier.startpage169
dc.identifier.urihttps://doi.org/10.3934/jdg.2024019
dc.identifier.urihttps://hdl.handle.net/20.500.12428/24261
dc.identifier.volume12
dc.identifier.wosWOS:001304280200001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofJournal of Dynamics and Games
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectInterval uncertainty
dc.subjectnoncooperative interval games
dc.subjectcooperative interval games
dc.subjectcharacteristic function
dc.titleCharacteristic functions for cooperative interval games
dc.typeArticle

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