IDEAS home Printed from https://ideas.repec.org/p/nwu/cmsems/833.html
   My bibliography  Save this paper

Implementation in Undominated Strategies - A Look at Bounded Mechanisms

Author

Listed:
  • Matthew 0. Jackson

Abstract

This paper examines the impact of placing natural restrictions on the mechanisms considered for implementation problems. It is shown that if all mechanisms are considered and preferences satisfy a basic condition, then any social choice correspondence can be implemented in undominated strategies. An example points out that the strength of this result derives from the use of mechanisms with questionable features. In part of the message space the agent who announces the highest integer is rewarded. This sort of "tail-chasing" construction, common in the constructive proofs of the literature, is used to assure that undesired strategy combinations do not form an equilibrium. If such mechanisms are ruled out, then the social choice correspondences which can be implemented in undominated strategies satisfy an incentive compatibility type condition called strategy-resistence. For social choice functions this is equivalent to strategy-proofness. This contrast suggests that this issue should be examined as it applies to other solution concepts used in implementation theory. The last portion of the paper begins to explore the issue as it relates to Nash implementation and undominated Nash implementation.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Matthew 0. Jackson, 1989. "Implementation in Undominated Strategies - A Look at Bounded Mechanisms," Discussion Papers 833, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:833
    as

    Download full text from publisher

    File URL: http://www.kellogg.northwestern.edu/research/math/papers/833.pdf
    File Function: main text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Palfrey, Thomas R. & Srivastava, Sanjay, 1986. "Private information in large economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 34-58, June.
    Full references (including those not matched with items on IDEAS)

    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. Sun, Yeneng & Yannelis, Nicholas C., 2007. "Perfect competition in asymmetric information economies: compatibility of efficiency and incentives," Journal of Economic Theory, Elsevier, vol. 134(1), pages 175-194, May.
    2. Bergemann, Dirk & Ottaviani, Marco, 2021. "Information Markets and Nonmarkets," CEPR Discussion Papers 16459, C.E.P.R. Discussion Papers.
    3. Peter Hammond & Yeneng Sun, 2008. "Monte Carlo simulation of macroeconomic risk with a continuum of agents: the general case," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(2), pages 303-325, August.
    4. Xavier Vives, 2000. "Allocative and Productive Efficiency in REE with Asymetric Information," UFAE and IAE Working Papers 473.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    5. Sun, Xiang & Sun, Yeneng & Wu, Lei & Yannelis, Nicholas C., 2017. "Equilibria and incentives in private information economies," Journal of Economic Theory, Elsevier, vol. 169(C), pages 474-488.
    6. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    7. Gizatulina, Alia & Hellwig, Martin, 2010. "Informational smallness and the scope for limiting information rents," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2260-2281, November.
    8. Richard McLean & James Peck & Andrew Postlewaite, 2005. "On Price-Taking Behavior in Asymmetric Information Economies," Studies in Economic Theory, in: Alessandro Citanna & John Donaldson & Herakles Polemarchakis & Paolo Siconolfi & Stephan E. Spear (ed.), Essays in Dynamic General Equilibrium Theory, pages 129-142, Springer.
    9. Jackson, Matthew O. & Manelli, Alejandro M., 1997. "Approximately Competitive Equilibria in Large Finite Economies," Journal of Economic Theory, Elsevier, vol. 77(2), pages 354-376, December.
    10. Luis Corchon & Ignacio Ortuño-Ortin, 1994. "Robust implementation under alternative information structures," Review of Economic Design, Springer;Society for Economic Design, vol. 1(1), pages 159-171, December.
    11. 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.
    12. Marc Germain & Vincent Van Steenberghe & Alphonse Magnus, 2004. "Optimal Policy with Tradable and Bankable Pollution Permits: Taking the Market Microstructure into Account," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(5), pages 737-757, December.
    13. Matsushima, Hitoshi, 2008. "Detail-free mechanism design in twice iterative dominance: Large economies," Journal of Economic Theory, Elsevier, vol. 141(1), pages 134-151, July.
    14. Korpela, Ville & Lombardi, Michele, 2020. "Closure under interim utility equivalence implies two-agent Bayesian implementation," Games and Economic Behavior, Elsevier, vol. 121(C), pages 108-116.
    15. Beth Allen, 1996. "Implementation theory with incomplete information," Staff Report 226, Federal Reserve Bank of Minneapolis.
    16. Kim, Taesung & Yannelis, Nicholas C., 1997. "Existence of Equilibrium in Bayesian Games with Infinitely Many Players," Journal of Economic Theory, Elsevier, vol. 77(2), pages 330-353, December.
    17. Frédéric KOESSLER, 2002. "Strategic Knowledge Sharing in Bayesian Games: Applications," Working Papers of BETA 2002-02, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    18. Gabriel Desgranges, 2000. "CK-Equilibria and Informational Efficiency in a Competitive Economy," Econometric Society World Congress 2000 Contributed Papers 1296, Econometric Society.
    19. Koessler, Frederic, 2004. "Strategic knowledge sharing in Bayesian games," Games and Economic Behavior, Elsevier, vol. 48(2), pages 292-320, 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:nwu:cmsems:833. 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: Fran Walker (email available below). General contact details of provider: https://edirc.repec.org/data/cmnwuus.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.