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Perfect Implementation

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Author Info

  • Sergei Izmalkov

    ()
    (New Economic School)

  • Matt Lepinski
  • Silvio Micali

Abstract

Privacy and trust a ect our strategic thinking, yet they have not been precisely modeled in mechanism design. In settings of incomplete information, traditional implementations of a normal-form mechanism - by disregarding the players' privacy, or assuming trust in a mediator - may fail to reach the mechanism's objectives. We thus investigate implementations of a new type. We put forward the notion of a perfect implementation of a normal-form mechanism M: in essence, a concrete extensive-form mechanism exactly preserving all strategic properties of M, without relying on a trusted mediator or violating the privacy of the players. We prove that any normal-form mechanism can be perfectly implemented by a verifiable mediator using envelopes and an envelope-randomizing device (i.e., the same tools used for running fair lotteries or tallying secret votes). Differently from a trusted mediator, a veri able one only performs prescribed public actions, so that everyone can verify that he is acting properly, and that he never learns any information that should remain private

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Bibliographic Info

Paper provided by Center for Economic and Financial Research (CEFIR) in its series Working Papers with number w0140.

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Length: 26 pages
Date of creation: Jan 2010
Date of revision:
Handle: RePEc:cfr:cefirw:w0140

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  1. Dino Gerardi, 2002. "Unmediated Communication in Games with Complete and Incomplete Information," Cowles Foundation Discussion Papers 1371, Cowles Foundation for Research in Economics, Yale University.
  2. Gerardi, Dino & Myerson, Roger B., 2007. "Sequential equilibria in Bayesian games with communication," Games and Economic Behavior, Elsevier, vol. 60(1), pages 104-134, July.
  3. FORGES, Françoise, . "Universal mechanisms," CORE Discussion Papers RP -914, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Ben-Porath, Elchanan, 1998. "Correlation without Mediation: Expanding the Set of Equilibrium Outcomes by "Cheap" Pre-play Procedures," Journal of Economic Theory, Elsevier, vol. 80(1), pages 108-122, May.
  5. Mathias Dewatripont & Patrick Bolton, 2005. "Contract theory," ULB Institutional Repository 2013/9543, ULB -- Universite Libre de Bruxelles.
  6. Eric Maskin & Tomas Sjostrom, 2001. "Implementation Theory," Economics Working Papers 0006, Institute for Advanced Study, School of Social Science.
  7. FORGES, Françoise, . "An approach to communication equilibria," CORE Discussion Papers RP -721, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Robert J. Aumann & Sergiu Hart, 2003. "Long Cheap Talk," Econometrica, Econometric Society, vol. 71(6), pages 1619-1660, November.
  9. Ben-Porath, Elchanan, 2003. "Cheap talk in games with incomplete information," Journal of Economic Theory, Elsevier, vol. 108(1), pages 45-71, January.
  10. Vijay Krishna, R., 2007. "Communication in games of incomplete information: Two players," Journal of Economic Theory, Elsevier, vol. 132(1), pages 584-592, January.
  11. Rothkopf, Michael H & Teisberg, Thomas J & Kahn, Edward P, 1990. "Why Are Vickrey Auctions Rare?," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 94-109, February.
  12. Amparo Urbano & Jose E. Vila, 2002. "Computational Complexity and Communication: Coordination in Two-Player Games," Econometrica, Econometric Society, vol. 70(5), pages 1893-1927, September.
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Cited by:
  1. Forges, Françoise & Vida, Péter, 2013. "Implementation of Communication Equilibria by Correlated Cheap Talk : the Two-Player Case," Economics Papers from University Paris Dauphine 123456789/8159, Paris Dauphine University.

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