A new necessary condition for implementation in iteratively undominated strategies
AbstractImplementation in iteratively undominated strategies relies on permissive conditions. However, for the sufficiency results available, authors have relied on assumptions that amount to quasilinear preferences on a numeraire. We uncover a new necessary condition that implies that such assumptions cannot be dispensed with. We term the condition “restricted deception-proofness.” It requires that, in environments with identical preferences, the social choice function be immune to all deceptions, making it then stronger than incentive compatibility. In some environments the conditions for (exact or approximate) implementation are more restrictive than previously thought.
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Bibliographic InfoPaper provided by Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales in its series Working Papers with number 2010-03.
Date of creation: 20 Jan 2010
Date of revision:
Publication status: Published in Journal of Economic Theory 146 (6), November 2011: 2583–2595
mechanism design; exact and approximate implementation; iteratively undominated strategies; restricted deception-proofness; incentive compatibility; measurability;
Other versions of this item:
- Kunimoto, Takashi & Serrano, Roberto, 2011. "A new necessary condition for implementation in iteratively undominated strategies," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2583-2595.
- Takashi Kunimoto & Roberto Serrano, 2010. "A New Necessary Condition for Implementation in Iteratively Undominated Strategies," Working Papers 2010-2, Brown University, Department of Economics.
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
- D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
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- Dirk Bergemann & Stephen Morris, 2007.
"Robust Virtual Implementation,"
Cowles Foundation Discussion Papers
1609RR, Cowles Foundation for Research in Economics, Yale University, revised Jan 2009.
- Georgy Artemov & Takashi Kunimoto & Roberto Serrano, 2007.
"Robust Virtual Implementation with Incomplete Information: Toward a Reinterpretation of the Wilson Doctrine,"
2007-6, Brown University, Department of Economics.
- 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 Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
- Artemov, Georgy & Kunimoto, Takashi & Serrano, Roberto, 2013. "Robust virtual implementation: Toward a reinterpretation of the Wilson doctrine," Journal of Economic Theory, Elsevier, vol. 148(2), pages 424-447.
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