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Stable Coalition Structures with Fixed Decision Schme

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  • Guillaume Haeringer

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Abstract

This paper studies the stability of a finite local public goods economy in horizontal differentiation, where a jurisdiction's choice of the public good is given by an exogenous decision scheme. In this paper, we characterize the class of decision schemes that ensure the existence of an equilibrium with free mobility (that we call Tiebout equilibrium) for monotone distribution of players. This class contains all the decision schemes whose choice lies between the Rawlsian decision scheme and the median voter with mid-distance of the two median voters when there are ties. We show that for non-monotone distribution, there is no decision scheme that can ensure the stability of coalitions. In the last part of the paper, we prove the non-emptiness of the core of this coalition formation game

Suggested Citation

  • Guillaume Haeringer, 2000. "Stable Coalition Structures with Fixed Decision Schme," UFAE and IAE Working Papers 471.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  • Handle: RePEc:aub:autbar:471.00
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    References listed on IDEAS

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    1. Philippe Jehiel & Suzanne Scotchmer, 2001. "Constitutional Rules of Exclusion in Jurisdiction Formation," Review of Economic Studies, Oxford University Press, vol. 68(2), pages 393-413.
    2. Alberto Alesina & Enrico Spolaore, 1997. "On the Number and Size of Nations," The Quarterly Journal of Economics, Oxford University Press, vol. 112(4), pages 1027-1056.
    3. Barbera, Salvador & Gerber, Anke, 2003. "On coalition formation: durable coalition structures," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 185-203, April.
    4. Demange, Gabrielle, 1994. "Intermediate preferences and stable coalition structures," Journal of Mathematical Economics, Elsevier, vol. 23(1), pages 45-58, January.
    5. Dreze, J H & Greenberg, J, 1980. "Hedonic Coalitions: Optimality and Stability," Econometrica, Econometric Society, vol. 48(4), pages 987-1003, May.
    6. Barbera, Salvador & Bevia, Carmen, 2002. "Self-Selection Consistent Functions," Journal of Economic Theory, Elsevier, vol. 105(2), pages 263-277, August.
    7. Bewley, Truman F, 1981. "A Critique of Tiebout's Theory of Local Public Expenditures," Econometrica, Econometric Society, vol. 49(3), pages 713-740, May.
    8. Konishi, Hideo, 1996. "Voting with Ballots and Feet: Existence of Equilibrium in a Local Public Good Economy," Journal of Economic Theory, Elsevier, vol. 68(2), pages 480-509, February.
    9. Rose-Ackerman, Susan, 1979. "Market models of local government: Exit, voting, and the land market," Journal of Urban Economics, Elsevier, vol. 6(3), pages 319-337, July.
    10. Milchtaich, Igal & Winter, Eyal, 2002. "Stability and Segregation in Group Formation," Games and Economic Behavior, Elsevier, vol. 38(2), pages 318-346, February.
    11. Greenberg, Joseph & Shitovitz, Benyamin, 1988. "Consistent voting rules for competitive local public goods economies," Journal of Economic Theory, Elsevier, vol. 46(2), pages 223-236, December.
    12. Salvador Barber?Author-Name: Carmen Bevi?Author-Email: Carmen.Bevia@uab.es, "undated". "Stable Condorcet Rules," UFAE and IAE Working Papers 539.02, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    13. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
    14. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    15. 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.
    16. Westhoff, Frank, 1977. "Existence of equilibria in economies with a local public good," Journal of Economic Theory, Elsevier, vol. 14(1), pages 84-112, February.
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    Cited by:

    1. Anna Bogomolnaia & Michel Breton & Alexei Savvateev & Shlomo Weber, 2007. "Stability under unanimous consent, free mobility and core," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(2), pages 185-204, January.
    2. Matthias Dahm, 2010. "Free mobility and taste-homogeneity of jurisdiction structures," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 259-272, March.
    3. Elena Parilina & Artem Sedakov, 2014. "Stable Bank Cooperation for Cost Reduction Problem," Czech Economic Review, Charles University Prague, Faculty of Social Sciences, Institute of Economic Studies, vol. 8(1), pages 7-25, August.
    4. Gabrielle Demange, 2004. "Group formation: The interaction of increasing returns and preferences' diversity," DELTA Working Papers 2004-30, DELTA (Ecole normale supérieure).

    More about this item

    Keywords

    Coalition structures; Tiebout equilibrium; C-stability; decision scheme;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • H73 - Public Economics - - State and Local Government; Intergovernmental Relations - - - Interjurisdictional Differentials and Their Effects

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