IDEAS home Printed from https://ideas.repec.org/p/cte/werepe/3965.html
   My bibliography  Save this paper

Core equivalence theorems for infinite convex games

Author

Listed:
  • Einy, Ezra
  • Holzman, Ron
  • Monderer, Dov
  • Shitovitz, Benyamin

Abstract

We show that the core of a continuous convex game on a measurable space of players is a von Neumann-Morgenstern stable set. We also extend the definition of the Mas-Colell bargaining set to games with a measurable space of players, and show that for continuous convex games the core may be strictly included in the bargaining set but it coincides with the set of all countably additive payoff measures in the bargaining set. We provide examples which show that the continuity assumption is essential to our results.

Suggested Citation

  • 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.
    • Handle: RePEc:cte:werepe:3965
    as

    Download full text from publisher

    File URL: https://e-archivo.uc3m.es/rest/api/core/bitstreams/c5474e8f-ca69-4af3-a5a8-0cf353372a69/content
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dutta, Bhaskar & Ray, Debraj & Sengupta, Kunal & Vohra, Rajiv, 1989. "A consistent bargaining set," Journal of Economic Theory, Elsevier, vol. 49(1), pages 93-112, October.
    2. DELBAEN, Freddy, 1974. "Convex games and extreme points," LIDAM Reprints CORE 159, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Demange, Gabrielle, 1987. "Nonmanipulable Cores," Econometrica, Econometric Society, vol. 55(5), pages 1057-1074, September.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Dov Monderer & Ezra Einy & Diego Moreno, 1998. "The least core, kernel and bargaining sets of large games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 585-601.
    2. Einy, Ezra & Holzman, Ron & Monderer, Dov, 1999. "On the Least Core and the Mas-Colell Bargaining Set," Games and Economic Behavior, Elsevier, vol. 28(2), pages 181-188, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Alain Chateauneuf & Caroline Ventura, 2009. "G-continuity, impatience and G-cores of exact games," Documents de travail du Centre d'Economie de la Sorbonne 09081, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    3. Serrano, Roberto, 1997. "A comment on the Nash program and the theory of implementation," Economics Letters, Elsevier, vol. 55(2), pages 203-208, August.
    4. Jinpeng Ma, 1998. "Strategic Formation of Coalitions," Departmental Working Papers 199810, Rutgers University, Department of Economics.
    5. Chateauneuf, Alain & Ventura, Caroline, 2013. "G-continuity, impatience and myopia for Choquet multi-period utilities," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 97-105.
    6. Ron Holzman & Bezalel Peleg & Peter Sudhölter, 2007. "Bargaining Sets of Majority Voting Games," Mathematics of Operations Research, INFORMS, vol. 32(4), pages 857-872, November.
    7. Javier Hervés-Estévez & Emma Moreno-García, 2018. "A limit result on bargaining sets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(2), pages 327-341, August.
    8. Aouani, Zaier & Chateauneuf, Alain, 2008. "Exact capacities and star-shaped distorted probabilities," Mathematical Social Sciences, Elsevier, vol. 56(2), pages 185-194, September.
    9. Barbera, Salvador & Gerber, Anke, 2003. "On coalition formation: durable coalition structures," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 185-203, April.
    10. Greenberg, Joseph, 1992. "On the Sensitivity of von Neumann and Morgenstern Abstract Stable Sets: The Stable and the Individual Stable Bargaining Set," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 41-55.
    11. Sampson, Anthony A., 2002. "Weekenders and workaholics," European Journal of Political Economy, Elsevier, vol. 18(1), pages 193-208, March.
    12. Chateauneuf, Alain & Ventura, Caroline, 2011. "Partial probabilistic information," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 22-28, January.
    13. 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.
    14. repec:dau:papers:123456789/7332 is not listed on IDEAS
    15. Josep M. Izquierdo & Carles Rafels, 2010. "On the coincidence between the Shimomuras bargaining sets and the core," Working Papers in Economics 241, Universitat de Barcelona. Espai de Recerca en Economia.
    16. Sareh Vosooghi & Maria Arvaniti & Frederick Van Der Ploeg, 2022. "Self-enforcing climate coalitions for farsighted countries: integrated analysis of heterogeneous countries," Economics Series Working Papers 971, University of Oxford, Department of Economics.
    17. Ehlers, Lars, 2018. "Strategy-proofness and essentially single-valued cores revisited," Journal of Economic Theory, Elsevier, vol. 176(C), pages 393-407.
    18. Hannu Vartiainen, 2008. "One-deviation principle in coalition formation," Discussion Papers 35, Aboa Centre for Economics.
    19. Marinacci, Massimo & Montrucchio, Luigi, 2004. "A characterization of the core of convex games through Gateaux derivatives," Journal of Economic Theory, Elsevier, vol. 116(2), pages 229-248, June.
    20. Mariotti, Marco, 1997. "A Model of Agreements in Strategic Form Games," Journal of Economic Theory, Elsevier, vol. 74(1), pages 196-217, May.
    21. Nobusumi Sagara & Milan Vlach, 2011. "A new class of convex games on σ-algebras and the optimal partitioning of measurable spaces," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(3), pages 617-630, August.

    More about this item

    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:cte:werepe:3965. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Ana Poveda (email available below). General contact details of provider: http://www.eco.uc3m.es/ .

    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.