New results on egalitarian values for games with a priori unions. (4th March 2023)

• Record Type: Journal Article
• Authors: Gonçalves-Dosantos, J. C.; Alonso-Meijide, J. M.
• Is Part Of: Optimization. Volume 72:Number 3(2023)
• Page Start: 861
• Page End: 881
• Publication Date: 2023-03-04
• Subjects: Cooperative games -- coalitional values -- equal division value -- equal surplus division value; 91A12; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2021.1995731
• Languages: English
• ISSNs: 0233-1934

Abstract

ABSTRACT: 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.