A new necessary condition for implementation in iteratively undominated strategies
Implementation 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.
|Date of creation:||20 Jan 2010|
|Date of revision:|
|Publication status:||Published in Journal of Economic Theory 146 (6), November 2011: 2583–2595|
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- Bergemann, Dirk & Morris, Stephen, 2009.
"Robust virtual implementation,"
Econometric Society, vol. 4(1), March.
- 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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"Robust Virtual Implementation with Incomplete Information: Toward a Reinterpretation of the Wilson Doctrine,"
2007-6, Brown University, Department of Economics.
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