A note on the impossibility of a satisfactory concept of stability for coalition formation games
In this note we show that no solution to coalition formation games can satisfy a set of axioms that we propose as reasonable. Our result points out that "solutions" to the coalition formation cannot be interpreted as predictions of what would be ìresting pointsî for a game in the way stable coalition structures are usually interpreted.
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- Barbera, Salvador & Gerber, Anke, 2003.
"On coalition formation: durable coalition structures,"
Mathematical Social Sciences,
Elsevier, vol. 45(2), pages 185-203, April.
- Barbera, Salvador & Gerber, Anke, 2003. "Corrigendum to "On coalition formation: durable coalition structures": [Mathematical Social Sciences 45 (2003) 185-203]," Mathematical Social Sciences, Elsevier, vol. 46(3), pages 355-356, December.
- Effrosyni Diamantoudi & Licun Xue, 2003.
"Farsighted stability in hedonic games,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 21(1), pages 39-61, 08.
- Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 603-627.
- Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
- Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001.
"Core in a simple coalition formation game,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
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