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Robust Implementation in Direct Mechanisms

Dirk Bergemann and Stephen Morris

No 1561R2, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

Abstract: 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.

Keywords: Mechanism design; Implementation; Robustness; Common knowledge; Interim equilibrium; Iterative deletion; Direct mechanism (search for similar items in EconPapers)
Pages: 39 pages
Date: 2006-03, Revised 2009-01
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (57)

Published in Review of Economic Studies (2009), 76: 1175-1204

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Chapter: Robust Implementation in Direct Mechanisms (2012) Downloads
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