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Stable coalition structures in simple games with veto control

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Author Info
Ciftci, Baris
Dimitrov, Dinko (Tilburg University, Center for Economic Research)

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Abstract

In this paper we study hedonic coalition formation games in which players' preferences over coalitions are induced by a semi-value of a monotonic simple game with veto control. We consider partitions of the player set in which the winning coalition contains the union of all minimal winning coalitions, and show that each of these partitions belongs to the strict core of the hedonic game. Exactly such coalition structures constitute the strict core when the simple game is symmetric. Provided that the veto player set is not a winning coalition in a symmetric simple game, then the partition containing the grand coalition is the unique strictly core stable coalition structure.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 114.

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Date of creation: 2006
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Handle: RePEc:dgr:kubcen:2006114

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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)
  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. Sergiu Hart, 2006. "Shapley Value," Discussion Paper Series dp421, Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem. [Downloadable!]
  4. Pradeep Dubey & Abraham Neyman & Robert J. Weber, 1979. "Value Theory without Efficiency," Cowles Foundation Discussion Papers 513, Cowles Foundation, Yale University. [Downloadable!]
  5. Ciftci, Baris & Borm, Peter & Hamers, Herbert, 2006. "Population monotonic paths schemes for simple games," Discussion Paper 113, Tilburg University, Center for Economic Research. [Downloadable!]
  6. 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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