IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v116y2019icp65-72.html
   My bibliography  Save this article

Bayesian implementation with verifiable information

Author

Listed:
  • Peralta, Esteban

Abstract

This note studies the class of allocations that are fully Bayesian implementable in the presence of verifiable information. I identify a condition, termed evidence distinguishability, that together with incentive compatibility is both necessary and sufficient for full Bayesian implementation in direct mechanisms that elicit verifiable information. I show, however, that every evidence distinguishable allocation that is incentive compatible when verifiable information is not elicited is Bayesian monotonic at every verifiable deception; namely, at every verifiable joint report of information at which the direct mechanism delivers an undesirable outcome. To the extent that requiring Bayesian monotonicity to hold at every verifiable deception is a demanding condition, only indirect mechanisms can exploit the presence of verifiable information to fully implement incentive compatible allocations.

Suggested Citation

  • Peralta, Esteban, 2019. "Bayesian implementation with verifiable information," Games and Economic Behavior, Elsevier, vol. 116(C), pages 65-72.
    • Handle: RePEc:eee:gamebe:v:116:y:2019:i:c:p:65-72
    DOI: 10.1016/j.geb.2019.04.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0899825619300533
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.geb.2019.04.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    References listed on IDEAS

    as
    1. Palfrey, Thomas R & Srivastava, Sanjay, 1989. "Implementation with Incomplete Information in Exchange Economies," Econometrica, Econometric Society, vol. 57(1), pages 115-134, January.
    2. Jerry R. Green & Jean-Jacques Laffont, 1986. "Partially Verifiable Information and Mechanism Design," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(3), pages 447-456.
    3. Mezzetti, Claudio & Renou, Ludovic, 2012. "Implementation in mixed Nash equilibrium," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2357-2375.
    4. 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.
    5. Dilip Mookherjee & Stefan Reichelstein, 1990. "Implementation via Augmented Revelation Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 453-475.
    6. Bull, Jesse & Watson, Joel, 2007. "Hard evidence and mechanism design," Games and Economic Behavior, Elsevier, vol. 58(1), pages 75-93, January.
    7. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
    8. Kartik, Navin & Tercieux, Olivier & Holden, Richard, 2014. "Simple mechanisms and preferences for honesty," Games and Economic Behavior, Elsevier, vol. 83(C), pages 284-290.
    9. Jackson, Matthew O, 1991. "Bayesian Implementation," Econometrica, Econometric Society, vol. 59(2), pages 461-477, March.
    10. 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.
    11. Matthew O. Jackson, 1992. "Implementation in Undominated Strategies: A Look at Bounded Mechanisms," Review of Economic Studies, Oxford University Press, vol. 59(4), pages 757-775.
    12. Serrano, Roberto & Vohra, Rajiv, 2010. "Multiplicity of mixed equilibria in mechanisms: A unified approach to exact and approximate implementation," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 775-785, September.
    13. , & ,, 2012. "Implementation with evidence," Theoretical Economics, Econometric Society, vol. 7(2), May.
    14. 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.
    15. Serrano, Roberto & Vohra, Rajiv, 2005. "A characterization of virtual Bayesian implementation," Games and Economic Behavior, Elsevier, vol. 50(2), pages 312-331, February.
    16. Ortner, Juan, 2015. "Direct implementation with minimally honest individuals," Games and Economic Behavior, Elsevier, vol. 90(C), pages 1-16.
    17. Postlewaite, Andrew & Schmeidler, David, 1986. "Implementation in differential information economies," Journal of Economic Theory, Elsevier, vol. 39(1), pages 14-33, June.
    18. Ben-Porath, Elchanan & Lipman, Barton L., 2012. "Implementation with partial provability," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1689-1724.
    19. 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. Soumen Banerjee & Yi-Chun Chen, 2022. "Implementation with Uncertain Evidence," Papers 2209.10741, arXiv.org.

    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. Ben-Porath, Elchanan & Lipman, Barton L., 2012. "Implementation with partial provability," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1689-1724.
    2. Soumen Banerjee & Yi-Chun Chen, 2022. "Implementation with Uncertain Evidence," Papers 2209.10741, arXiv.org.
    3. Lombardi, M. & Yoshihara, N., 2018. "Treading a fine line: (Im)possibilities for Nash implementation with partially-honest individuals," Games and Economic Behavior, Elsevier, vol. 111(C), pages 203-216.
    4. Serrano, Roberto & Vohra, Rajiv, 2010. "Multiplicity of mixed equilibria in mechanisms: A unified approach to exact and approximate implementation," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 775-785, September.
    5. Michele Lombardi & Naoki Yoshihara, 2020. "Partially-honest Nash implementation: a full characterization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 871-904, October.
    6. repec:hal:spmain:info:hdl:2441/3709dm0u7h9t9qlfe9vrqtn8ed is not listed on IDEAS
    7. Frédéric Koessler & Eduardo Perez-Richet, 2019. "Evidence reading mechanisms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(3), pages 375-397, October.
    8. Lombardi, Michele & Yoshihara, Naoki, 2016. "Partially-honest Nash Implementation with Non-connected Honesty Standards," Discussion Paper Series 633, Institute of Economic Research, Hitotsubashi University.
    9. Jeanne Hagenbach & Frédéric Koessler & Eduardo Perez‐Richet, 2014. "Certifiable Pre‐Play Communication: Full Disclosure," Econometrica, Econometric Society, vol. 82(3), pages 1093-1131, May.
    10. Caffera, Marcelo & Dubra, Juan & Figueroa, Nicolás, 2018. "Mechanism design when players’ preferences and information coincide," Mathematical Social Sciences, Elsevier, vol. 91(C), pages 56-61.
    11. repec:hal:spmain:info:hdl:2441/4kpa2fek478tla1o86g6n9jb6v is not listed on IDEAS
    12. Michele Lombardi & Naoki Yoshihara, 2017. "Treading a Â…fine line: (Im)possibilities for Nash implementation with partially-honest individuals," Working Papers SDES-2017-14, Kochi University of Technology, School of Economics and Management, revised Aug 2017.
    13. 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.
    14. Roberto Serrano, 2003. "The Theory of Implementation of Social Choice Rules," Working Papers 2003-19, Brown University, Department of Economics.
    15. Takashi Kunimoto & Rene Saran & Roberto Serrano, 2020. "Interim Rationalizable Implementation of Functions," Working Papers 2020-23, Brown University, Department of Economics.
    16. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
    17. Kolotilin, Anton, 2015. "Experimental design to persuade," Games and Economic Behavior, Elsevier, vol. 90(C), pages 215-226.
    18. 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.
    19. Sher, Itai & Vohra, Rakesh, 2015. "Price discrimination through communication," Theoretical Economics, Econometric Society, vol. 10(2), May.
    20. Deneckere, Raymond & Severinov, Sergei, 2008. "Mechanism design with partial state verifiability," Games and Economic Behavior, Elsevier, vol. 64(2), pages 487-513, November.
    21. Elchanan Ben‐Porath & Eddie Dekel & Barton L. Lipman, 2019. "Mechanisms With Evidence: Commitment and Robustness," Econometrica, Econometric Society, vol. 87(2), pages 529-566, March.
    22. Banerjee, Soumen & Chen, Yi-Chun & Sun, Yifei, 0. "Direct implementation with evidence," Theoretical Economics, Econometric Society.

    More about this item

    Keywords

    Mechanism design; Bayesian implementation; Verifiable information;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:eee:gamebe:v:116:y:2019:i:c:p:65-72. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    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.