Axiomatization and implementation of a class of solidarity values for TU-games

Sylvain Béal, Eric Rémila and Philippe Solal

Theory and Decision, 2017, vol. 83, issue 1, No 4, 94 pages

Abstract: Abstract A new class of values combining marginalistic and egalitarian principles is introduced for cooperative TU-games. It includes some modes of solidarity among the players by taking the collective contribution of some coalitions to the grand coalition into account. Relationships with other class of values such as the Egalitarian Shapley values and the Procedural values are discussed. We propose a strategic implementation of our class of values in subgame perfect Nash equilibrium. Two axiomatic characterizations are provided: one of the whole class of values, and one of each of its extreme points.

Keywords: TU-games; Solidarity; Null player; Egalitarian Shapley value; Procedural values; Implementation (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (14)

Downloads: (external link)
http://link.springer.com/10.1007/s11238-017-9586-z Abstract (text/html)
Access to full text is restricted to subscribers.

Related works:
Working Paper: Axiomatization and implementation of a class of solidarity values for TU-games (2017)
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:kap:theord:v:83:y:2017:i:1:d:10.1007_s11238-017-9586-z

Ordering information: This journal article can be ordered from
http://www.springer. ... ry/journal/11238/PS2

DOI: 10.1007/s11238-017-9586-z

Access Statistics for this article

Theory and Decision is currently edited by Mohammed Abdellaoui

More articles in Theory and Decision from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().