New results on egalitarian values for games with a priori unions

Several extensions of the equal division value and the equal surplus division value to the family of games with a priori unions have been proposed by Alonso-Meijide et al. [On egalitarian values for cooperative games with a priori unions. TOP. 2020;28:672-688]. In this study, we provide new axiomati...

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Bibliographic Details
Published inOptimization Vol. 72; no. 3; pp. 861 - 881
Main Authors Gonçalves-Dosantos, J. C., Alonso-Meijide, J. M.
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 04.03.2023
Taylor & Francis LLC
Subjects
coalitional values
Cooperative games
equal division value
equal surplus division value
Games
Unions
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Summary:Several extensions of the equal division value and the equal surplus division value to the family of games with a priori unions have been proposed by Alonso-Meijide et al. [On egalitarian values for cooperative games with a priori unions. TOP. 2020;28:672-688]. In this study, we provide new axiomatic characterizations of these values. Furthermore, using the equal surplus division value in two steps, we propose a new coalitional value. The balanced contributions and quotient game properties generate a different modification of the equal surplus division value.
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2021.1995731