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Stability under unanimous consent, free mobility and core

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  • BOGOMOLNAIA, Anna
  • LE BRETON, Michel
  • SAVVATEEV, Alexei
  • WEBER, Shlomo

Abstract

In this paper we consider an urban population represented by a continuum of individuals uniformly distributed over the real line that faces a problem of location and financing of multiple public facilities. We examine three notions of stability of emerging jurisdiction: stability under unanimous consent, free mobility andcoreandprovideacharacterizationofstablepartitionsunder these notions of stability.
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Suggested Citation

  • BOGOMOLNAIA, Anna & LE BRETON, Michel & SAVVATEEV, Alexei & WEBER, Shlomo, 2007. "Stability under unanimous consent, free mobility and core," LIDAM Reprints CORE 1929, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:1929
    DOI: 10.1007/s00182-006-0043-4
    Note: In : International Journal of Game Theory, 35, 185-204, 2007
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    References listed on IDEAS

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    1. 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.
    2. repec:adr:anecst:y:1997:i:45:p:09 is not listed on IDEAS
    3. Alexei Savvateev & Anna Bogomolnaia & Michel Le Breton & Shlomo Weber, 2005. "The Egalitarian Sharing Rule in Provision of Public Projects," Working Papers 2005.39, Fondazione Eni Enrico Mattei.
    4. Ben D. MacArthur & Richard O. C. Oreffo, 2005. "Bridging the gap," Nature, Nature, vol. 433(7021), pages 19-19, January.
    5. Haimanko, Ori & Le Breton, Michel & Weber, Shlomo, 2005. "Transfers in a polarized country: bridging the gap between efficiency and stability," Journal of Public Economics, Elsevier, vol. 89(7), pages 1277-1303, July.
    6. Michel Le Breton & Shlomo Weber, 2003. "The Art of Making Everybody Happy: How to Prevent a Secession," IMF Staff Papers, Palgrave Macmillan, vol. 50(3), pages 1-4.
    7. Anna Bogomolnaia & Michel Breton & Alexei Savvateev & Shlomo Weber, 2008. "Stability of jurisdiction structures under the equal share and median rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 525-543, March.
    8. 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.
    9. Haimanko, Ori & Le Breton, Michel & Weber, Shlomo, 2004. "Voluntary formation of communities for the provision of public projects," Journal of Economic Theory, Elsevier, vol. 115(1), pages 1-34, March.
    10. LE BRETON, Michel & WEBER, Schlomo & DREZE, Jacques, 2004. "The Rawlsian principle and secession-proofness in large heterogeneous societies," LIDAM Discussion Papers CORE 2004061, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Philippe Jehiel & Suzanne Scotchmer, 1997. "Free Mobility and the Optimal Number of Jurisdictions," Annals of Economics and Statistics, GENES, issue 45, pages 219-231.
    12. 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).
    13. Alessandra Casella, 2001. "The Role of Market Size in the Formation of Jurisdictions," Review of Economic Studies, Oxford University Press, vol. 68(1), pages 83-108.
    14. Greenberg, Joseph & Weber, Shlomo, 1986. "Strong tiebout equilibrium under restricted preferences domain," Journal of Economic Theory, Elsevier, vol. 38(1), pages 101-117, February.
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    Citations

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    Cited by:

    1. Drèze, Jacques & Le Breton, Michel & Savvateev, Alexei & Weber, Shlomo, 2008. ""Almost" subsidy-free spatial pricing in a multi-dimensional setting," Journal of Economic Theory, Elsevier, vol. 143(1), pages 275-291, November.
    2. Jean-Marc Bourgeon & Marie-Laure Breuillé, 2023. "Citizen preferences and the architecture of government," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(3), pages 537-585, October.
    3. Anna Bogomolnaia & Michel Le Breton & Alexei Savvateev & Shlomo Weber, 2008. "Heterogeneity Gap in Stable Jurisdiction Structures," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(3), pages 455-473, June.
    4. Klaus Desmet & Michel Breton & Ignacio Ortuño-Ortín & Shlomo Weber, 2011. "The stability and breakup of nations: a quantitative analysis," Journal of Economic Growth, Springer, vol. 16(3), pages 183-213, September.
    5. Savvateev, A., 2013. "Coalitional Stability of a "Bipolar World"," Journal of the New Economic Association, New Economic Association, vol. 17(1), pages 10-43.
    6. 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.
    7. Antoni Rubí-Barceló, 2013. "Efficiency and stability in a strategic model of hedonic coalitions," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(2), pages 131-145, June.
    8. Musatov, D. & Savvateev, A., 2022. "Mathematical models of stable jurisdiction partitions: A survey of results and new directions," Journal of the New Economic Association, New Economic Association, vol. 54(2), pages 12-38.
    9. Mariagiovanna Baccara & Leeat Yariv, 2013. "Homophily in Peer Groups," American Economic Journal: Microeconomics, American Economic Association, vol. 5(3), pages 69-96, August.
    10. Anna Bogomolnaia & Herve Moulin, 2023. "Fair congested assignment problem," Papers 2301.12163, arXiv.org, revised Feb 2024.
    11. Klaus Desmet & Michel Le Breton & Ignacio Ortuno-Ortin & Shlomo Weber, 2008. "Stability of Nations and Genetic Diversity," Working Papers 003-08, International School of Economics at TSU, Tbilisi, Republic of Georgia.

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    More about this item

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • H20 - Public Economics - - Taxation, Subsidies, and Revenue - - - General
    • H73 - Public Economics - - State and Local Government; Intergovernmental Relations - - - Interjurisdictional Differentials and Their Effects

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