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The semireactive bargaining set of a cooperative game

Peter Sudhölter () and Jos A. M. Potters

International Journal of Game Theory, 2001, vol. 30, issue 1, 117-139

Abstract: The 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.

Keywords: TU game; bargaining set (search for similar items in EconPapers)
Date: 2001-10-10
Note: Received September 2000/Revised version June 2001
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