No polytime black-box BIC or MIDR reductions exist for expected welfare maximization in additive single-buyer downward-closed settings or multi single-parameter settings, requiring exponentially many queries for sub-polynomial approximations.
Matthew Weinberg
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The Complexity of Black-Box Mechanism Design with Priors
No polytime black-box BIC or MIDR reductions exist for expected welfare maximization in additive single-buyer downward-closed settings or multi single-parameter settings, requiring exponentially many queries for sub-polynomial approximations.