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Farsighted Stability in Hedonic Games

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Author Info
Effrosyni Diamantoudi
Licun Xue () (Department of Economics, University of Aarhus, Denmark)

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Abstract

We investigate how rational individuals partition themselves into different coalitions in "hedonic games" [see Banerjee, Konishi and S”nmez (1998) and Bogomolnaia and Jackson (2000)], where individuals' preferences depend solely on the composition of the coalition they belong to. We show that the four solution concepts studied in the literature (core, Nash stability, individual stability and contractual individual stability) exhibit myopia on the part of the players. We amend these notions by endowing players with foresight in that they look many steps ahead and consider only credible outcomes. We show the existence and study the properties of the new solutions, as well as their relation to the previous notions.

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Paper provided by School of Economics and Management, University of Aarhus in its series Economics Working Papers with number 2000-12.

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Handle: RePEc:aah:aarhec:2000-12

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Related research
Keywords: Hedonic games coalition structures foresight

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Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

References listed on IDEAS
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  1. 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. [Downloadable!]
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  2. Licun Xue, 1998. "Coalitional stability under perfect foresight," Economic Theory, Springer, vol. 11(3), pages 603-627. [Downloadable!] (restricted)
  3. Greenberg Joseph & Weber Shlomo, 1993. "Stable Coalition Structures with a Unidimensional Set of Alternatives," Journal of Economic Theory, Elsevier, vol. 60(1), pages 62-82, June. [Downloadable!] (restricted)
  4. Farrell, Joseph & Scotchmer, Suzanne, 1988. "Partnerships," The Quarterly Journal of Economics, MIT Press, vol. 103(2), pages 279-97, May. [Downloadable!] (restricted)
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  5. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July. [Downloadable!] (restricted)
  6. Greenberg, J. & Weber, S., 1991. "Stable Coalition Structures with Unidimensional Set of Alternatives," Papers 9133, Tilburg - Center for Economic Research.
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  7. Chwe Michael Suk-Young, 1994. "Farsighted Coalitional Stability," Journal of Economic Theory, Elsevier, vol. 63(2), pages 299-325, August. [Downloadable!] (restricted)
  8. Demange, Gabrielle, 1994. "Intermediate preferences and stable coalition structures," Journal of Mathematical Economics, Elsevier, vol. 23(1), pages 45-58, January. [Downloadable!] (restricted)
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  9. Dreze, J H & Greenberg, J, 1980. "Hedonic Coalitions: Optimality and Stability," Econometrica, Econometric Society, vol. 48(4), pages 987-1003, May. [Downloadable!] (restricted)
  10. Matthew O. Jackson & Ana Bogomolnaia, 2000. "The Stability of Hedonic Coalition Structures," Grand Coalition 26, Grand Coalition Web Site. [Downloadable!]
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  11. Demange, Gabrielle, 1982. "Single-peaked orders on a tree," Mathematical Social Sciences, Elsevier, vol. 3(4), pages 389-396, December. [Downloadable!] (restricted)
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Cited by:
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  1. Hans Gersbach & Hans Haller, 2006. "Voice and Bargaining Power," CESifo Working Paper Series CESifo Working Paper No. , CESifo GmbH. [Downloadable!]
  2. Funaki, Y. & Yamato, T., 2007. "Sequentially Stable Coalition Structures," Discussion Paper 2007-96, Tilburg University, Center for Economic Research. [Downloadable!]
  3. Alison Watts, 2007. "Formation of segregated and integrated groups," International Journal of Game Theory, Springer, vol. 35(4), pages 505-519, April. [Downloadable!] (restricted)
  4. Dinko Dimitrov & Shao Chin Sung, 2006. "A Taxonomy of Myopic Stability Concepts for Hedonic Games," Working Papers 2006.10, Fondazione Eni Enrico Mattei. [Downloadable!]
  5. Frank H. Page, Jr. & Myrna H. Wooders, 2006. "Strategic Basins of Attraction, the Path Dominance Core, and Network Formation Games," Working Papers 0614, Department of Economics, Vanderbilt University. [Downloadable!]
    Other versions:
  6. Coralio Ballester, 2002. "NP-completeness in Hedonic Games," Grand Coalition 19, Grand Coalition Web Site. [Downloadable!]
    Other versions:
  7. Gabrielle Demange, 2006. "The strategy structure of some coalition formation games," PSE Working Papers 2006-38, PSE (Ecole normale supérieure). [Downloadable!]
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