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"Совершенная имплементация механизмов в нормальной форме, или как достичь полной защиты личной информации в отсутствие какого-либо доверия" (Научный семинар ИФМИ-РЭШ)

Докладчик С. Измалков (РЭШ)

Докладчик С. Измалков (РЭШ)

27 октября, понедельник, Покровский б-р, 11, Ж-801, 18.00

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 not be realistic and 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, an 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 public mediator using envelopes and an envelope-randomizing device (i.e., the same tools used for running fair lotteries or tallying secret votes). Di erently from a trusted mediator, a public one only performs prescribed public actions, so that everyone can verify that he is acting properly, and never learns any information that should remain private.

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