A value for cooperative games with a coalition structure
AbstractA value for games with a coalition structure is introduced, where the rules guiding the cooperation among the members of the same coalition are different from the interaction rules among coalitions. In particular, players inside a coalition exhibit a greater degree of solidarity than they are willing to use with players outside their coalition. The Shapley value [Shapley, 1953] is therefore used to compute the aggregate payoffs of the coalitions, and the Solidarity value [Nowak and Radzik, 1994] to obtain the payoffs of the players inside each coalition.
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Bibliographic InfoPaper provided by University of Valencia, ERI-CES in its series Discussion Papers in Economic Behaviour with number 0311.
Date of creation: Feb 2011
Date of revision:
Coalitional value; Shapley value; Owen value; Solidarity value;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-02-19 (All new papers)
- NEP-CDM-2011-02-19 (Collective Decision-Making)
- NEP-CIS-2011-02-19 (Confederation of Independent States)
- NEP-GTH-2011-02-19 (Game Theory)
- NEP-NET-2011-02-19 (Network Economics)
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- Ãlvarez-Mozos, Mikel & Hellman, Ziv & Winter, Eyal, 2013.
"Spectrum value for coalitional games,"
Games and Economic Behavior, Elsevier,
Elsevier, vol. 82(C), pages 132-142.
- Mikel Alvarez-Mozos & Ziv Hellman & Eyal Winter, 2012. "Spectrum Value for Coalitional Games," Discussion Paper Series, The Center for the Study of Rationality, Hebrew University, Jerusalem dp618, The Center for the Study of Rationality, Hebrew University, Jerusalem.
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