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On top coalitions, common rankings, and semistrict core stability

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Author Info
Dinko Dimitrov () (Institute of Mathematical Economics, Bielefeld University)

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Abstract

The top coalition property of Banerjee et al. (2001) and the common ranking property of Farrell and Scotchmer (1988) are sufficient conditions for core stability in hedonic games. We introduce the semistrict core as a stronger stability concept than the core, and show that the top coalition property guarantees the existence of semistrictly core stable coalition structures. Moreover, for each game satisfying the common ranking property, the core and the semistrict core coincide.

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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-377.pdf
File Format: application/pdf
File Function: First version, 2005
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Publisher Info
Paper provided by Bielefeld University, Institute of Mathematical Economics in its series Working Papers with number 377.

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Length: 7 pages
Date of creation: Dec 2005
Date of revision:
Handle: RePEc:bie:wpaper:377

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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; common ranking property; hedonic games; semistrict core; top coalition property;

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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