A new necessary condition for implementation in iteratively undominated strategies
We uncover a new necessary condition for implementation in iteratively undominated strategies by mechanisms that satisfy the “best element property” where for each agent, there exists a strategy profile that gives him the highest payoff in the mechanism. This class includes finite and regular mechanisms. We conclude that either the quasilinearity-like assumptions of available sufficiency results cannot be completely dispensed with or some mechanisms that do not satisfy the best element property must be employed. 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 by mechanisms satisfying the best element property are more restrictive than previously thought.
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- 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.
- 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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