English

On egalitarian values for cooperative games with level structures

Computer Science and Game Theory 2024-01-31 v1

Abstract

In this paper we extend the equal division and the equal surplus division values for transferable utility cooperative games to the more general setup of transferable utility cooperative games with level structures. In the case of the equal surplus division value we propose three possible extensions, one of which has already been described in the literature. We provide axiomatic characterizations of the values considered, apply them to a particular cost sharing problem and compare them in the framework of such an application.

Keywords

Cite

@article{arxiv.2401.16938,
  title  = {On egalitarian values for cooperative games with level structures},
  author = {J. M. Alonso-Meijide and J. Costa and I. García-Jurado and J. C. Gonçalves-Dosantos},
  journal= {arXiv preprint arXiv:2401.16938},
  year   = {2024}
}
R2 v1 2026-06-28T14:31:38.683Z