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ON THE EQUIVALENT DIRECT MECHANISM FOR ACTIVE EXPERTISE OVER STRICTLY-CONVEX COMPACT OPINION'S SPACE

Vladimir N. Burkov, Institute of Control Sciences of RAS, Mos-cow, Doctor of Science, professor (Moscow, Profsoyuznaya st., 65, (495) 334-79-00, vlab17@bk.ru).

Michael B. Iskakov, Institute of Control Sciences of RAS, Moscow, Cand.Sc., senior scientist (mih_iskakov@mail.ru).

Nikolay A. Korgin, Institute of Control Sciences of RAS, Moscow, Cand.Sc., senior scientist (nkorgin@ipu.ru).

Abstract: Game-theoretic problem of active expertise over multi-dimensional compact and convex opinions spaces is studied. For arithmetic mean mechanism corresponding direct mechanism is constructed, which is tested for nonmanipulability. It is proven that there exists no strategy-proof direct mechanism equivalent to arithmetic mean mechanism. The problem is formulated to design the strategy-proof direct mechanism with result to be as close as possible to the result of arithmetic mean mechanism.

Keywords: active expertise, strategy-proof mechanism, equivalent direct mechanism.

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