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A Note on the Impossibility of a Satisfactory Concept of Stability for Coalition Formation Games

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  • Salvador Barberà
  • Anke Gerber

Abstract

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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Bibliographic Info

Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 248.

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Date of creation: Dec 2005
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Handle: RePEc:bge:wpaper:248

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Related research

Keywords: Hedonic Game; Coalition Formation; Stability;

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References

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  1. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
  2. Effrosyni Diamantoudi & Licun Xue, . "Farsighted Stability in Hedonic Games," Economics Working Papers 2000-12, School of Economics and Management, University of Aarhus.
  3. 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.
  4. Suryapratim Banerjee & Hideo Konishi & Tayfun Sonmez, 1999. "Core in a Simple Coalition Formation Game," Boston College Working Papers in Economics 449, Boston College Department of Economics.
  5. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627.
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Citations

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Cited by:
  1. Hannu Vartiainen, 2008. "One-deviation principle in coalition formation," Discussion Papers 35, Aboa Centre for Economics.
  2. Hans Gersbach & Hans Haller, 2011. "Bargaining cum voice," Social Choice and Welfare, Springer, vol. 36(2), pages 199-225, February.
  3. Fehr, Ernst & Fischbacher, Urs & Kosfeld, Michael, 2005. "Neuroeconomic Foundations of Trust and Social Preferences," IZA Discussion Papers 1641, Institute for the Study of Labor (IZA).
  4. Fehr, Ernst & Singer, Tania, 2005. "The Neuroconomics of Mind Reading and Empathy," CEPR Discussion Papers 5128, C.E.P.R. Discussion Papers.
  5. Falk, Armin & Fehr, Ernst & Zehnder, Christian, 2005. "The Behavioural Effects of Minimum Wages," CEPR Discussion Papers 5115, C.E.P.R. Discussion Papers.
  6. Hannu Vartiainen, 2007. "Dynamic Farsighted Stability," Discussion Papers 22, Aboa Centre for Economics.
  7. Carmelo Rodríguez-Álvarez, 2009. "Strategy-proof coalition formation," International Journal of Game Theory, Springer, vol. 38(3), pages 431-452, November.
  8. Eric Weese, 2011. "Political Mergers as Coalition Formation," Working Papers 997, Economic Growth Center, Yale University.
  9. Weese, Eric, 2013. "Political Mergers as Coalition Formation: An Analysis of the Heisei Municipal Amalgamations," Working Papers 113, Yale University, Department of Economics.
  10. Vartiainen, Hannu, 2011. "Dynamic coalitional equilibrium," Journal of Economic Theory, Elsevier, vol. 146(2), pages 672-698, March.
  11. Hannu Vartiainen, 2008. "Dynamic stable set," Discussion Papers 33, Aboa Centre for Economics.
  12. Casajus, André, 2008. "On the stability of coalition structures," Economics Letters, Elsevier, vol. 100(2), pages 271-274, August.
  13. Eric Weese, 2013. "Political Mergers as Coalition Formation: An Analysis of the Heisei Municipal Amalgamations," Working Papers 1022, Economic Growth Center, Yale University.

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