The consensus value: a new solution concept for cooperative games
AbstractBy generalizing the standard solution for 2-person games into n-person cases, this paper develops a new solution concept for cooperative games: the consensus value.We characterize the consensus value as the unique function that satisfies efficiency, symmetry, the quasi dummy property and additivity.By means of the transfer property, a second characterization is provided.By defining the stand-alone reduced game, a recursive formula for the value is established.We also show that this value is the average of the Shapley value and the equal surplus solution.Furthermore, we discuss a possible generalization.
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Bibliographic InfoArticle provided by Springer in its journal Social Choice and Welfare.
Volume (Year): 28 (2007)
Issue (Month): 4 (June)
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Web page: http://link.springer.de/link/service/journals/00355/index.htm
Other versions of this item:
- Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2007. "The consensus value: A new solution concept for cooperative games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-195202, Tilburg University.
- Ju, Y. & Borm, P.E.M. & Ruys, P.H.M., 2004. "The Consensus Value: A New Solution Concept for Cooperative Games," Discussion Paper 2004-50, Tilburg University, Center for Economic Research.
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
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