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The nucleolus and inheritance of properties in communication situations

Schouten,J.
; 
Borm,P.
; 
Dietzenbacher,B.
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.
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Date
2022-11
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Tilburg University Research Output Collection
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Keywords
Communication situations, Compromise stability, Graph-restricted game, Inheritance of properties, Invariance of the nucleolus, Strong compromise admissibility
Citation
Schouten, J, Borm, P & Dietzenbacher, B 2022, 'The nucleolus and inheritance of properties in communication situations', Annals of Operations Research, vol. 318, no. 2, pp. 1117-1135. https://doi.org/10.1007/s10479-022-04638-y
URI
https://hdl.handle.net/20.500.14602/77247
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