The semireactive bargaining set of a cooperative game
AbstractThe semireactive bargaining set, a solution for cooperative games, is introduced. This solution is in general a subsolution of the bargaining set and a supersolution of the reactive bargaining set. However, on various classes of transferable utility games the semireactive and the reactive bargaining set coincide. The semireactive prebargaining set on TU games can be axiomatized by one-person rationality, the reduced game property, a weak version of the converse reduced game property with respect to subgrand coalitions, and subgrand stability. Furthermore, it is shown that there is a suitable weakening of subgrand stability, which allows to characterize the prebargaining set. Replacing the reduced game by the imputation saving reduced game and employing individual rationality as an additional axiom yields characterizations of both, the bargaining set and the semireactive bargaining set.
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Bibliographic InfoArticle provided by Springer in its journal International Journal of Game Theory.
Volume (Year): 30 (2001)
Issue (Month): 1 ()
Note: Received September 2000/Revised version June 2001
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Other versions of this item:
- Sudhoelter,P. & Potters,J.A.M., 1999. "The semireactive bargaining set of a cooperative game," Working Papers 313, Bielefeld University, Center for Mathematical Economics.
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