IDEAS home Printed from https://ideas.repec.org/p/bos/wpaper/wp2009-002.html
   My bibliography  Save this paper

Implementation and Partial Provability

Author

Listed:
  • Elchanan Ben-Porath

    () (Department of Economics and Center for Rationality, Hebrew University)

  • Barton L. Lipman

    () (Department of Economics, Boston University)

Abstract

We extend implementation theory by allowing the social choice function to depend on more than just the pro le of preferences of the agents and by allowing agents to support their statements with hard evidence. We show that a simple condition on the evidence structure which is necessary for the implementation of a social choice function f when the preferences of the agents are state independent is also sufficient for implementation for any preferences (including state dependent) if the social planner can perform small monetary transfers and there are at least three players. If transfers can be large, f can be implemented in a game with perfect information when there are at least two players under an additional boundedness assumption. In both cases, transfers only occur off the equilibrium path. Finally, in the special but important case of allocation problems, under weak conditions, f can be implemented in a perfect information game with at least two players and no transfers. In all cases, the use of evidence enables implementation which is robust in the sense that the social planner needs very little information about the preferences, beliefs, and evidence of the agents and the agents need little information about each others' preferences.

Suggested Citation

  • Elchanan Ben-Porath & Barton L. Lipman, 2009. "Implementation and Partial Provability," Boston University - Department of Economics - Working Papers Series wp2009-002, Boston University - Department of Economics.
  • Handle: RePEc:bos:wpaper:wp2009-002
    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.

    References listed on IDEAS

    as
    1. Bull, Jesse & Watson, Joel, 2004. "Evidence disclosure and verifiability," Journal of Economic Theory, Elsevier, vol. 118(1), pages 1-31, September.
    2. Masahiro Okuno-Fujiwara & Andrew Postlewaite & Kotaro Suzumura, 1990. "Strategic Information Revelation," Review of Economic Studies, Oxford University Press, vol. 57(1), pages 25-47.
    3. Forges, Francoise & Koessler, Frederic, 2005. "Communication equilibria with partially verifiable types," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 793-811, November.
    4. Bull, Jesse & Watson, Joel, 2007. "Hard evidence and mechanism design," Games and Economic Behavior, Elsevier, vol. 58(1), pages 75-93, January.
    5. Alger, Ingela & Albert Ma, Ching-to, 2003. "Moral hazard, insurance, and some collusion," Journal of Economic Behavior & Organization, Elsevier, vol. 50(2), pages 225-247, February.
    6. Glazer, Jacob & Rubinstein, Ariel, 2001. "Debates and Decisions: On a Rationale of Argumentation Rules," Games and Economic Behavior, Elsevier, vol. 36(2), pages 158-173, August.
    7. Forges, Françoise & Koessler, Frédéric, 2008. "Long persuasion games," Journal of Economic Theory, Elsevier, vol. 143(1), pages 1-35, November.
    8. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
    9. Navin Kartik & Olivier Tercieux, 2009. "Implementation with Evidence: Complete Information," Economics Working Papers 0087, Institute for Advanced Study, School of Social Science, revised May 2009.
    10. Jerry R. Green & Jean-Jacques Laffont, 1986. "Partially Verifiable Information and Mechanism Design," Review of Economic Studies, Oxford University Press, vol. 53(3), pages 447-456.
    11. Palfrey, Thomas R & Srivastava, Sanjay, 1991. "Nash Implementation Using Undominated Strategies," Econometrica, Econometric Society, vol. 59(2), pages 479-501, March.
    12. Paul Milgrom & John Roberts, 1986. "Relying on the Information of Interested Parties," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 18-32, Spring.
    13. Daniel J. Seidmann & Eyal Winter, 1997. "Strategic Information Transmission with Verifiable Messages," Econometrica, Econometric Society, vol. 65(1), pages 163-170, January.
    14. Itai Sher, 2008. "Persuasion and Limited Communication," Working Papers 2008-2, University of Minnesota, Department of Economics, revised 02 2008.
    15. Jacob Glazer & Ariel Rubinstein, 2004. "On Optimal Rules of Persuasion," Econometrica, Econometric Society, vol. 72(6), pages 1715-1736, November.
    16. Grossman, Sanford J, 1981. "The Informational Role of Warranties and Private Disclosure about Product Quality," Journal of Law and Economics, University of Chicago Press, vol. 24(3), pages 461-483, December.
    17. Lipman Barton L. & Seppi Duane J., 1995. "Robust Inference in Communication Games with Partial Provability," Journal of Economic Theory, Elsevier, vol. 66(2), pages 370-405, August.
    18. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
    19. repec:dau:papers:123456789/168 is not listed on IDEAS
    20. Andrew Postlewaite & David Wettstein, 1989. "Feasible and Continuous Implementation," Review of Economic Studies, Oxford University Press, vol. 56(4), pages 603-611.
    21. Glazer, Jacob & Rubinstein, Ariel, 2006. "A study in the pragmatics of persuasion: a game theoretical approach," Theoretical Economics, Econometric Society, vol. 1(4), pages 395-410, December.
    22. Michael J. Fishman & Kathleen M. Hagerty, 1990. "The Optimal Amount of Discretion to Allow in Disclosure," The Quarterly Journal of Economics, Oxford University Press, vol. 105(2), pages 427-444.
    23. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
    24. Deneckere, Raymond & Severinov, Sergei, 2008. "Mechanism design with partial state verifiability," Games and Economic Behavior, Elsevier, vol. 64(2), pages 487-513, November.
    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. Christopher Cotton, 2010. "Evidence Revelation in Competitions for Access," Working Papers 2010-21, University of Miami, Department of Economics.
    2. Sher, Itai & Vohra, Rakesh, 2015. "Price discrimination through communication," Theoretical Economics, Econometric Society, vol. 10(2), May.
    3. Christopher Cotton, 2009. "Competition for Access and Full Revelation of Evidence," Working Papers 2010-12, University of Miami, Department of Economics.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bos:wpaper:wp2009-002. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Program Coordinator). General contact details of provider: http://edirc.repec.org/data/decbuus.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.