IDEAS home Printed from https://ideas.repec.org/p/hal/journl/halshs-00670959.html
   My bibliography  Save this paper

Nonmanipulable Cores

Author

Listed:
  • Gabrielle Demange

    (CECO - Laboratoire d'économétrie de l'École polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris - CNRS - Centre National de la Recherche Scientifique)

Abstract

An effectivity function describes the blocking power of coalitions on subsets of alternatives. Given a preference profile, if any coalition blocks an alternative whenever it can, using its own power, make all of its members better off, only alternatives in the core can be reached. In this paper we study the incentives of the coalitions to use this power truthfully, i.e. to not manipulate. Some well known cores, among them the core of an exchange economy, are manipulable. We give sufficient conditions on an effectivity function that assure its core is nonmanipulable.

Suggested Citation

  • Gabrielle Demange, 1987. "Nonmanipulable Cores," Post-Print halshs-00670959, HAL.
    • Handle: RePEc:hal:journl:halshs-00670959
    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 search 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. Ehlers, Lars, 2018. "Strategy-proofness and essentially single-valued cores revisited," Journal of Economic Theory, Elsevier, vol. 176(C), pages 393-407.
    2. Ehlers, Lars, 2007. "Von Neumann-Morgenstern stable sets in matching problems," Journal of Economic Theory, Elsevier, vol. 134(1), pages 537-547, May.
    3. Stefano Vannucci, 2004. "A Coalitional Game-Theoretic Model of Stable Government Forms with Umpires," Department of Economics University of Siena 437, Department of Economics, University of Siena.
    4. Demange, Gabrielle, 2009. "The strategy structure of some coalition formation games," Games and Economic Behavior, Elsevier, vol. 65(1), pages 83-104, January.
    5. Carmelo Rodríguez-Álvarez, 2006. "Candidate Stability and Voting Correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 545-570, December.
    6. Antonio Romero-Medina & Matteo Triossi, 2021. "Two-sided strategy-proofness in many-to-many matching markets," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 105-118, March.
    7. Diss, Mostapha & Doghmi, Ahmed & Tlidi, Abdelmonaim, 2015. "Strategy proofness and unanimity in private good economies with single-peaked preferences," MPRA Paper 75469, University Library of Munich, Germany, revised 06 Dec 2016.
    8. Jagadeesan, Ravi & Kominers, Scott Duke & Rheingans-Yoo, Ross, 2018. "Strategy-proofness of worker-optimal matching with continuously transferable utility," Games and Economic Behavior, Elsevier, vol. 108(C), pages 287-294.
    9. Csóka, Péter & Jean-Jacques Herings, P. & Kóczy, László Á. & Pintér, Miklós, 2011. "Convex and exact games with non-transferable utility," European Journal of Operational Research, Elsevier, vol. 209(1), pages 57-62, February.
    10. Ravi Jagadeesan & Scott Duke Kominers & Ross Rheingans-Yoo, 2020. "Lone wolves in competitive equilibria," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(2), pages 215-228, August.
    11. Norovsambuu Tumennasan, 2014. "Moral hazard and stability," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 659-682, October.
    12. Klaus Nehring & Massimiliano Marcellino, 2003. "Monotonicity Implies Strategy-Proofness For Correspondences," Working Papers 193, University of California, Davis, Department of Economics.
    13. Masashi Umezawa, 2009. "Coalitionally strategy-proof social choice correspondences and the Pareto rule," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(1), pages 151-158, June.
    14. Jinpeng Ma, 1998. "Strategic Formation of Coalitions," Discussion Papers 1225, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    15. Einy, Ezra & Holzman, Ron & Monderer, Dov & Shitovitz, Benyamin, 1996. "Core equivalence theorems for infinite convex games," UC3M Working papers. Economics 3965, Universidad Carlos III de Madrid. Departamento de Economía.
    16. Einy, Ezra & Holzman, Ron & Monderer, Dov & Shitovitz, Benyamin, 1997. "Core Equivalence Theorems for Infinite Convex Games," Journal of Economic Theory, Elsevier, vol. 76(1), pages 1-12, September.

    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:hal:journl:halshs-00670959. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.