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Robust Implementation in Direct Mechanisms

  • Dirk Bergemann
  • Stephen Morris

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 the interdependence is not too large. In a linear signal model, the contraction property is equivalent to an interdependence matrix having all eigenvalues smaller than one.

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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 814577000000000109.

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Date of creation: 04 Feb 2009
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Handle: RePEc:cla:levarc:814577000000000109
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  1. P. Battigalli & M. Siniscalchi, 2002. "Rationalization and Incomplete Information," Princeton Economic Theory Working Papers 9817a118e65062903de7c3577, David K. Levine.
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  15. Dirk Bergemann & Stephen Morris, 2007. "Strategic Distinguishability and Robust Virtual Implementation," Cowles Foundation Discussion Papers 1609R, Cowles Foundation for Research in Economics, Yale University, revised Apr 2008.
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