Necessary versus equal players in axiomatic studies

Sylvain Béal and Florian Navarro

Post-Print from HAL

Abstract: This note introduces three variants of existing axioms in which equal players are replaced by necessary players. We highlight that necessary players can replace equal players in many wellknown axiomatic characterizations, but not in all. In addition, we provide new characterizations of the Shapley value, the class of positively weighted Shapley values, the Solidarity value and the Equal Division value. This sheds a new light on the real role of equal treatment of equals in the axiomatic literature.

Keywords: Necessary players; equal players; equal treatment of necessary players; (weighted-)Shapley value; Equal Division value; Solidarity value (search for similar items in EconPapers)
Date: 2020-05
Note: View the original document on HAL open archive server: https://univ-angers.hal.science/hal-03252179v1
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Published in Operations Research Letters, 2020, 48 (3), pp.385-391. ⟨10.1016/j.orl.2020.04.011⟩

Downloads: (external link)
https://univ-angers.hal.science/hal-03252179v1/document (application/pdf)

Related works:
Working Paper: Necessary versus equal players in axiomatic studies (2020)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-03252179

DOI: 10.1016/j.orl.2020.04.011

Access Statistics for this paper

More papers in Post-Print from HAL
Bibliographic data for series maintained by CCSD ().