A social choice function is robustly implemented if every equilibrium on every type space achieves outcomes consistent with it. We identify a robust monotonicity condition that is necessary and (with mild extra assumptions) sufficient for robust implementation. Robust monotonicity is strictly stronger than both Maskin monotonicity (necessary and almost sufficient for complete information implementation) and ex post monotonicity (necessary and almost sufficient for ex post implementation). It is equivalent to Bayesian monotonicity on all type spaces.
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Find related papers by JEL classification: C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information
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