New results on egalitarian values for games with a priori unions

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.

KEYWORDS:

• Cooperative games
• coalitional values
• equal division value
• equal surplus division value

2020 MATHEMATICS SUBJECT CLASSIFICATION:

• 91A12

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work has been supported by the ERDF, the MINECO/AEI grants MTM2017-87197-C3-1-P, MTM2017-87197-C3-3-P, and by the Xunta de Galicia (Grupos de Referencia Competitiva ED431C-2016-015 and ED431C-2017/38). CITIC as Centro de Investigación do Sistema universitario de Galicia is financed by Consellería de Educación, Universidade e Formación Profesional of Xunta de Galicia through the Fondo Europeo de Desenvolvemento Rexional (FEDER) with 80%, Programa operativo FEDER Galicia 2014–2020 and the remaining 20% by the Secretaría Xeral de Universidades (Ref. ED431G 2019/01)