A value for communication situations with players having different bargaining abilities

Manuel, Conrado; Martín, Daniel

doi:10.1007/s10479-020-03825-z

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2022

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“…van den Brink et al, 2016) and communication situations in which the players have different bargaining abilities (cf. Manuel & Martín, 2021). Moreover, several studies are devoted to the inheritance of properties of cooperative games that are related to the Shapley value.…”

Section: Introductionmentioning

confidence: 99%

The nucleolus and inheritance of properties in communication situations

2022

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This paper studies the nucleolus of graph-restricted games as an alternative for the Shapley value to evaluate communication situations. We focus on the inheritance of properties of cooperative games related to the nucleolus: strong compromise admissibility and compromise stability. These two properties allow for a direct, closed formula for the nucleolus. We characterize the families of graphs for which the graph-restricted games inherit these properties from the underlying games. Moreover, for each of these two properties, we characterize the family of graphs for which the nucleolus is invariant

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Section: Introductionmentioning

confidence: 99%