EconPapers    
Economics at your fingertips  
 

Cohesive efficiency in TU-games: axiomatizations of variants of the Shapley value, egalitarian values and their convex combinations

Sylvain Béal, André Casajus (), Eric Rémila () and Philippe Solal
Additional contact information
André Casajus: HHL Leipzig Graduate School of Management
Eric Rémila: Université de Saint-Etienne, CNRS UMR 5824 GATE Lyon Saint-Etienne

Annals of Operations Research, 2021, vol. 302, issue 1, No 2, 23-47

Abstract: Abstract We relax the assumption that the grand coalition must form by imposing the axiom of Cohesive efficiency: the total payoffs that the players can share is equal to the maximal total worth generated by a coalition structure. We determine how the three main axiomatic characterizations of the Shapley value are affected when the classical axiom of Efficiency is replaced by Cohesive efficiency. We introduce and characterize two variants of the Shapley value that are compatible with Cohesive efficiency. We show that our approach can also be applied to the variants of more egalitarian values.

Keywords: Cohesive efficiency; Shapley value; Balanced contributions; Potential; Equal (surplus) division; Equal allocation of nonseparable costs; Consensus values; Egalitarian Shapley values; Superadditive cover (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3) Track citations by RSS feed

Downloads: (external link)
http://link.springer.com/10.1007/s10479-021-04005-3 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
Working Paper: Cohesive efficiency in TU-games: axiomatizations of variants of the Shapley value, egalitarian values and their convex combinations (2021)
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:spr:annopr:v:302:y:2021:i:1:d:10.1007_s10479-021-04005-3

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10479

DOI: 10.1007/s10479-021-04005-3

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().

 
Page updated 2024-02-18
Handle: RePEc:spr:annopr:v:302:y:2021:i:1:d:10.1007_s10479-021-04005-3