A Bargaining Set Based on External and Internal Stability and Endogenous Coalition Formation
AbstractA new bargaining set based on notions of both internal and external stability is developed in the context of endogenous coalition formation.It allows to make an explicit distinction between within-group and outsidegroup deviation options.This type of distinction is not present in current bargaining sets.For the class of weighted majority games, the outcomes in the bargaining set containing a minimal winning coalition are characterized.Furthermore, it is shown that the bargaining set of any homogeneous weighted majority game contains an outcome for which the underlying coalition structure consists of a minimal winning coalition and its complement.The paper also introduces a new class of games called cooperation externalities games.For a symmetric cooperation externalities game conditions are provided such that every outcome in the bargaining set supports the same coalition structure.This coalition structure consists of one coalition of all players with an externality parameter higher than one and a collection of singleton coalitions, one for every player with a cooperation externality parameter lower than one
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Bibliographic InfoPaper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2006-16.
Date of creation: 2006
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Bargaining set; endogenous colation; formation; internal and external stability;
Find related papers by JEL classification:
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
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- Zhou Lin, 1994. "A New Bargaining Set of an N-Person Game and Endogenous Coalition Formation," Games and Economic Behavior, Elsevier, vol. 6(3), pages 512-526, May.
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