IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v18y2001i2p293-319.html
   My bibliography  Save this article

An extensive form interpretation of the private core

Author

Listed:
  • Allan Muir

    (Department of Mathematics, City University, Northampton Square, London EC1V 0HB, UK)

  • Nicholas C. Yannelis

    (Department of Economics, University of Illinois at Urbana-Champaign, Champaign,IL 61820, USA)

  • Dionysius Glycopantis

    (Department of Economics, City University, Northampton Square, London EC1V 0HB, UK)

Abstract

The private core of an economy with differential information, (Yannelis (1991)), is the set of all state-wise feasible and private information measurable allocations which cannot be dominated, in terms of ex ante expected utility functions, by state-wise feasible and private information measurable net trades of any coalition. It is coalitionally Bayesian incentive compatible and also takes into account the information superiority of an individual. We provide a noncooperative extensive form interpretation of the private core for three person games. We construct game trees which indicate the sequence of decisions and the information sets, and explain the rules for calculating ex ante expected payoffs. In the spirit of the Nash programme, the private core is thus shown to be supported by the perfect Bayesian equilibrium of a noncooperative game. The discussion contributes not only to the development of ideas but also to the understanding of the dynamics of how coalitionally incentive compatible contracts can be realized.

Suggested Citation

  • Allan Muir & Nicholas C. Yannelis & Dionysius Glycopantis, 2001. "An extensive form interpretation of the private core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 18(2), pages 293-319.
    • Handle: RePEc:spr:joecth:v:18:y:2001:i:2:p:293-319
    Note: Received: July 21, 2000; revised version: January 16, 2001
    as

    Download full text from publisher

    File URL: http://link.springer.de/link/service/journals/00199/papers/1018002/10180293.pdf
    Download Restriction: Access to the full text of the articles in this series is restricted
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. S. Flåm & L. Koutsougeras, 2010. "Private information, transferable utility, and the core," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(3), pages 591-609, March.
    2. Dionysius Glycopantis & Nicholas C. Yannelis, 2018. "The maximin equilibrium and the PBE under ambiguity," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 183-199, October.
    3. Ezra Einy & Ori Haimanko & Diego Moreno & Benyamin Shitovitz, 2005. "On the continuity of equilibrium and core correspondences in economies with differential information," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 793-812, November.
    4. Glycopantis, Dionysius & Muir, Allan & Yannelis, Nicholas C., 2004. "Non-implementation of Rational Expectations as a Perfect Bayesian Equilibrium," Economics Series 148, Institute for Advanced Studies.
    5. Zhiwei Liu, 2016. "Implementation of maximin rational expectations equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(4), pages 813-837, October.
    6. Luciano I. Castro & Zhiwei Liu & Nicholas C. Yannelis, 2017. "Ambiguous implementation: the partition model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(1), pages 233-261, January.
    7. Dionysius Glycopantis & Allan Muir & Nicholas Yannelis, 2009. "On non-revealing rational expectations equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(2), pages 351-369, February.
    8. Bimonte, Giovanna, 2013. "A General Coalition Structure: Some Equivalence Results," MPRA Paper 46283, University Library of Munich, Germany.
    9. Askoura, Y., 2015. "An interim core for normal form games and exchange economies with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 58(C), pages 38-45.
    10. Zhiwei Liu & Nicholas C. Yannelis, 2021. "Persuasion in an asymmetric information economy: a justification of Wald’s maxmin preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(3), pages 801-833, October.
    11. Liu, Zhiwei & Song, Xinxi & Yannelis, Nicholas C., 2020. "Randomization under ambiguity: Efficiency and incentive compatibility," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 1-11.
    12. Giovanna Bimonte, 2013. "A General Coalition Structure: Some Equivalence Results," Working Papers 3_230, Dipartimento di Scienze Economiche e Statistiche, Università degli Studi di Salerno.
    13. Krasa, Stefan & Temimi, Akram & Yannelis, Nicholas C., 2003. "Coalition structure values in differential information economies: is unity a strength?," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 51-62, February.
    14. Carlos Alós-Ferrer & Klaus Ritzberger, 2020. "Reduced normal forms are not extensive forms," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 281-288, October.
    15. Youcef Askoura, 2019. "An interim core for normal form games and exchange economies with incomplete information: a correction," Papers 1903.09867, arXiv.org.
    16. Bollen, P.W.L. & Simons, John, 2005. "A synthesis of Quality Criteria for requirements Elicitation Methods," Research Memorandum 042, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).

    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:spr:joecth:v:18:y:2001:i:2:p:293-319. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.