The nucleolus and inheritance of properties in communication situations-Reference-Cited by-同舟云学术

The nucleolus and inheritance of properties in communication situations

Published:2022-03-25 Issue:2 Volume:318 Page:1117-1135
ISSN:0254-5330
Container-title:Annals of Operations Research
language:en
Short-container-title:Ann Oper Res

Author:

Schouten J.^ORCID,Dietzenbacher B.^ORCID,Borm P.^ORCID

Abstract

AbstractThis 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

Publisher

Springer Science and Business Media LLC

Subject

Management Science and Operations Research,General Decision Sciences

Link

https://link.springer.com/content/pdf/10.1007/s10479-022-04638-y.pdf

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