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Robust Implementation in Direct Mechanisms

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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File URL: http://cowles.econ.yale.edu/P/cd/d15b/d1561-rr.pdf
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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1561RR.

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Length: 39 pages
Date of creation: Mar 2006
Date of revision: Jan 2009
Publication status: Published in Review of Economic Studies (2009), 76: 1175-1204
Handle: RePEc:cwl:cwldpp:1561rr
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Phone: (203) 432-3702
Fax: (203) 432-6167
Web page: http://cowles.econ.yale.edu/

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Order Information: Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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  10. Bikhchandani, Sushil, 2006. "Ex post implementation in environments with private goods," Theoretical Economics, Econometric Society, vol. 1(3), pages 369-393, September.
  11. Fieseler, Karsten & Kittsteiner, Thomas & Moldovanu, Benny, 1999. "Partnerships, Lemons and Efficient Trade," Sonderforschungsbereich 504 Publications 99-71, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
  12. Dirk Bergemann & Stephen Morris, 2008. "The Role of the Common Prior in Robust Implementation," Journal of the European Economic Association, MIT Press, vol. 6(2-3), pages 551-559, 04-05.
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  19. 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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