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Perfect Implementation

  • Sergei Izmalkov


    (New Economic School)

  • Matt Lepinski
  • Silvio Micali

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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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. Forges, F., 1984. "An approach to communication equilibria," CORE Discussion Papers 1984035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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  7. Robert J. Aumann & Sergiu Hart, 2002. "Long Cheap Talk," Discussion Paper Series dp284, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem, revised Nov 2002.
  8. Ben-Porath, Elchanan, 2003. "Cheap talk in games with incomplete information," Journal of Economic Theory, Elsevier, vol. 108(1), pages 45-71, January.
  9. 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.
  10. 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.
  11. Dino Gerardi & Roger B. Myerson, 2005. "Sequential Equilibria in Bayesian Games with Communication," Cowles Foundation Discussion Papers 1542, Cowles Foundation for Research in Economics, Yale University.
  12. 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.
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