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Coalition formation in simple games: The semistrict core

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Author Info
Dinko Dimitrov () (Institute of Mathematical Economics, Bielefeld University)
Claus-Jochen Haake () (Institute of Mathematical Economics, Bielefeld University)

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Abstract

We consider the class of proper monotonic simple games and study coalition formation when an exogenous share vector and a solution concept are combined to guide the distribution of coalitional worth. Using a multiplicative composite solution, we induce players' preferences over coalitions in a hedonic game, and present conditions under which the semistrict core of the game is nonempty.

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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-378.pdf
File Format: application/pdf
File Function: Second version, 2006
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Publisher Info
Paper provided by Bielefeld University, Institute of Mathematical Economics in its series Working Papers with number 378.

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Length: 20 pages
Date of creation: Mar 2006
Date of revision:
Handle: RePEc:bie:wpaper:378

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Postal: Postfach 10 01 31, 33501 Bielefeld
Web page: http://www.imw.uni-bielefeld.de/
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Related research
Keywords: coalition formation; semistrict core; simple games; winning coalitions;

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Find related papers by JEL classification:
D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Models of Political Processes: Rent-seeking, Elections, Legislatures, and Voting Behavior
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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  1. Dinko Dimitrov & Claus-Jochen Haake, 2006. "Government versus Opposition: Who Should be Who in the 16th German Bundestag?," Journal of Economics, Springer, vol. 89(2), pages 115-128, November. [Downloadable!] (restricted)
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  2. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer, vol. 18(1), pages 135-153. [Downloadable!] (restricted)
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  3. Slikker, Marco, 2001. "Coalition Formation and Potential Games," Games and Economic Behavior, Elsevier, vol. 37(2), pages 436-448, November. [Downloadable!] (restricted)
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  4. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February. [Downloadable!] (restricted)
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