The nucleolus and inheritance of properties in communication situations

J. Schouten (), B. Dietzenbacher and Peter Borm
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J. Schouten: Tilburg University
B. Dietzenbacher: Maastricht University

Annals of Operations Research, 2022, vol. 318, issue 2, No 19, 1117-1135

Abstract: Abstract 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

Keywords: Communication situations; Graph-restricted game; Inheritance of properties; Strong compromise admissibility; Compromise stability; Invariance of the nucleolus (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Date: 2022
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Working Paper: The Nucleolus and Inheritance of Properties in Communication Situations (2019)
Working Paper: The Nucleolus and Inheritance of Properties in Communication Situations (2019)
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DOI: 10.1007/s10479-022-04638-y

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