New results on egalitarian values for games with a priori unions

J. C. Gonçalves-Dosantos & J. M. Alonso-Meijide (2023) New results on egalitarian values for games with a priori unions, Optimization, 72:3, 861-881, DOI: 10.1080/02331934.2021.1995731.

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.

Keywords

Cooperative games
Coalitional values
Equal division value
Equal surplus division value

Description

This is an Accepted Manuscript version of the following article, accepted for publication in Optimization. J. C. Gonçalves-Dosantos & J. M. Alonso-Meijide (2023): New results on egalitarian values for games with a priori unions, Optimization, 72:3, 861-881, DOI: 10.1080/02331934.2021.1995731. It is deposited under the terms of the Creative Commons Attribution-NonCommercial License (http://creativecommons.org/licenses/by-nc/4.0/ ), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited.

Editor version

https://doi.org/10.1080/02331934.2021.1995731

Rights

Atribución-NoComercial 4.0 Internacional

ISSN

0233-1934
1029-4945