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A robustness result for rationalizable implementation

  • Di Tillio, Alfredo

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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File URL: http://www.sciencedirect.com/science/article/B6WFW-50PVG1W-1/2/a2f18608737b8ddb622fab5803caeb08
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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
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Dirk Bergemann & Stephen Morris, 2003. "Robust Mechanism Design," Cowles Foundation Discussion Papers 1421, Cowles Foundation for Research in Economics, Yale University.
  2. Eddie Dekel & Drew Fudenberg & Stephen Morris, 2006. "Interim Correlated Rationalizability," Levine's Bibliography 122247000000001188, UCLA Department of Economics.
  3. Georgy Artemov & Takashi Kunimoto & Roberto Serrano, 2007. "Robust virtual implementation with incomplete information: Towards a reinterpretation of the Wilson doctrine," Working Papers 2007-14, Instituto MadrileƱo de Estudios Avanzados (IMDEA) Ciencias Sociales.
  4. Dirk Bergemann & Stephen Morris, 2007. "Robust Virtual Implementation," Cowles Foundation Discussion Papers 1609RR, 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, 2009. "Robust Implementation in Direct Mechanisms," Levine's Working Paper Archive 814577000000000109, David K. Levine.
  7. Marion Oury & Olivier Tercieux, 2012. "Continuous Implementation," Econometrica, Econometric Society, vol. 80(4), pages 1605-1637, 07.
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