IDEAS home Printed from https://ideas.repec.org/p/ide/wpaper/1544.html

Stability of Jurisdiction Structures under the Equal Share and Median Rule

Author

Listed:
  • Bogomolnaia, Anna
  • Le Breton, Michel
  • Savvateev, Alexei
  • Weber, Shlomo

Abstract

In this paper we consider a model with multiple jurisdictions where each formed jurisdiction selects a public project from the given uni-dimensional set, equally shares its cost among its members and places the project at the location of its median resident. We examine a cooperative concept of core stability and a non-cooperative notion of Nash stability of jurisdiction structures. We first consider hedonic games, where each jurisdiction chooses the mean of the extreme points of its median set, and show that both stability notions may lead to an empty set of stable jurisdiction structures. We demonstrate that in a quasi-hedonic set-up, where jurisdictions are allowed to pick any selection from the median set, there is a Nash stable partition, while a core stable partition may still fail to exist. We also consider the equidistant societies and show the existence of both types of stable partitions in this case. Finally, we examine stratification properties of stable partitions.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Bogomolnaia, Anna & Le Breton, Michel & Savvateev, Alexei & Weber, Shlomo, 2005. "Stability of Jurisdiction Structures under the Equal Share and Median Rule," IDEI Working Papers 362, Institut d'Économie Industrielle (IDEI), Toulouse.
    • Handle: RePEc:ide:wpaper:1544
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Isabel Melguizo & Sergio Tovar, 2025. "Effort Provision in Peer Groups," Working Papers DTE 646, CIDE, División de Economía.
    2. 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.
    3. Barberà, Salvador & Beviá, Carmen & Ponsatí, Clara, 2015. "Meritocracy, egalitarianism and the stability of majoritarian organizations," Games and Economic Behavior, Elsevier, vol. 91(C), pages 237-257.
    4. Alexei Savvateev & Michel Le Breton & Valery Makarov & Shlomo Weber, 2008. "Multiple Membership and Federal Sructures," Working Papers 2008.41, Fondazione Eni Enrico Mattei.
    5. Gregorini, Filippo, 2015. "Political geography and income inequalities," Research in Economics, Elsevier, vol. 69(3), pages 439-452.
    6. Savvateev, A., 2013. "Coalitional Stability of a "Bipolar World"," Journal of the New Economic Association, New Economic Association, vol. 17(1), pages 10-43.
    7. 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.
    8. Gallo, Oihane & Klaus, Bettina, 2024. "Stable partitions for proportional generalized claims problems," Games and Economic Behavior, Elsevier, vol. 147(C), pages 485-516.
    9. Yaron Azrieli & Dan Levin, 2020. "Stable unions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(2), pages 337-365, March.
    10. Savvateev, Alexei & Weber, Shlomo & Musatov, Daniil, 2015. "Gale-Nikaido-Debreu and Milgrom-Shannon: Market Interactions with Endogenous Community Structures," CEPR Discussion Papers 10641, C.E.P.R. Discussion Papers.
    11. 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.
    12. Dahlby, Bev George, 2011. "Too Many Municipalities?," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 65(1), March.
    13. Iehle, Vincent, 2007. "The core-partition of a hedonic game," Mathematical Social Sciences, Elsevier, vol. 54(2), pages 176-185, September.
    14. 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.
    15. Le Breton, Michel & Makarov, Valery & Savvateev, Alexei & Weber, Shlomo, 2008. "Multiple Membership and Federal Sructures," Coalition Theory Network Working Papers 37519, Fondazione Eni Enrico Mattei (FEEM).
    16. Anna Bogomolnaia & Herve Moulin, 2023. "Fair congested assignment problem," Papers 2301.12163, arXiv.org, revised Feb 2024.
    17. Musatov, Daniil & Savvateev, Alexei & Weber, Shlomo, 2016. "Gale–Nikaido–Debreu and Milgrom–Shannon: Communal interactions with endogenous community structures," Journal of Economic Theory, Elsevier, vol. 166(C), pages 282-303.

    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ide:wpaper:1544. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/idtlsfr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.