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Perfect Implementation

Author

Listed:
  • 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

Suggested Citation

  • Sergei Izmalkov & Matt Lepinski & Silvio Micali, 2010. "Perfect Implementation," Working Papers w0140, New Economic School (NES).
    • Handle: RePEc:abo:neswpt:w0140
    as

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    File URL: https://www.nes.ru/files/Preprints-resh/WP140.pdf
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    References listed on IDEAS

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