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Cowles Foundation Discussion Papers

Mechanism design

2006

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Robust Implementation In Direct Mechanisms, Dirk Bergemann, Stephen Morris May 2006

Robust Implementation In Direct Mechanisms, Dirk Bergemann, Stephen Morris

Cowles Foundation Discussion Papers

A social choice function is robustly implementable if there is a mechanism under which the process of iteratively eliminating strictly dominated messages leads to outcomes that agree with the social choice function for all beliefs at every type profile. In an interdependent value environment with single crossing preferences, we identify a contraction property on the preferences which together with strict ex post incentive compatibility is sufficient to guarantee robust implementation in the direct mechanism. Strict ex post incentive compatibility and the contraction property are also necessary for robust implementation in any mechanism, including indirect ones. The contraction property requires that …