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A robustness result for rationalizable implementation

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  • Di Tillio, Alfredo

Abstract

This paper investigates the extent to which rationalizable implementation depends on the implicit common knowledge restrictions usually embodied in traditional models. It is shown that under fairly general conditions such restrictions are without loss of generality in the following sense: If a mechanism implements a social choice function f on a type space X, then implements f assuming only that the agents' k-order beliefs are among those described by an open set B containing X, while higher-order beliefs are completely unrestricted. The result is applied to direct implementation on payoff type spaces, and related to the weak (incentive compatible) implementation problem.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 72 (2011)
Issue (Month): 1 (May)
Pages: 301-305

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Handle: RePEc:eee:gamebe:v:72:y:2011:i:1:p:301-305

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Web page: http://www.elsevier.com/locate/inca/622836

Related research

Keywords: Mechanism design Incomplete information Common knowledge Higher-order beliefs Robust implementation Rationalizability;

References

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  1. Marion Oury & Olivier Tercieux, 2012. "Continuous Implementation," Econometrica, Econometric Society, vol. 80(4), pages 1605-1637, 07.
  2. Dirk Bergemann & Stephen Morris, 2003. "Robust Mechanism Design," Levine's Bibliography 666156000000000035, UCLA Department of Economics.
  3. Eddie Dekel & Drew Fudenberg & Stephen Morris, 2006. "Interim Correlated Rationalizability," Levine's Bibliography 122247000000001188, UCLA Department of Economics.
  4. Bergemann, Dirk & Stephen Morris, 2006. "Robust Implementation in Direct Mechanisms," Cowles Foundation Discussion Papers 1561RR, Cowles Foundation for Research in Economics, Yale University, revised Jan 2009.
  5. Jonathan Weinstein & Muhamet Yildiz, 2007. "A Structure Theorem for Rationalizability with Application to Robust Predictions of Refinements," Econometrica, Econometric Society, vol. 75(2), pages 365-400, 03.
  6. Dirk Bergemann & Stephen Morris, 2007. "Robust Virtual Implementation," Cowles Foundation Discussion Papers 1609RR, Cowles Foundation for Research in Economics, Yale University, revised Jan 2009.
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