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CHARACTERISTIC FUNCTIONS FOR COOPERATIVE INTERVAL GAMES

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dc.creator Zaccour, Georges
dc.creator Parilina, Elena M.
dc.creator Savaşkan, Gönül Selin
dc.creator ALPARSLAN GÖK, Sırma Zeynep
dc.date 2025-01-01T00:00:00Z
dc.date.accessioned 2025-02-25T10:40:47Z
dc.date.available 2025-02-25T10:40:47Z
dc.identifier e96e8544-2408-424c-a729-a5a83aba7115
dc.identifier 10.3934/jdg.2024019
dc.identifier https://avesis.sdu.edu.tr/publication/details/e96e8544-2408-424c-a729-a5a83aba7115/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/101793
dc.description Games 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 α and β 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 α and β 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.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title CHARACTERISTIC FUNCTIONS FOR COOPERATIVE INTERVAL GAMES
dc.type info:eu-repo/semantics/article


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