Non-affine approval functions create unavoidable miscalibration in proper scoring rules for strategic agents, but step-function thresholds enable first-best screening without it, uniquely for the Brier score.
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In non-modular polymatroidal service markets, revenue-optimal DSIC mechanisms cannot also be credible for strategic operators, with tight welfare-loss bounds on the Cost of Non-Credibility across network topologies.
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The Endogeneity of Miscalibration: Impossibility and Escape in Scored Reporting
Non-affine approval functions create unavoidable miscalibration in proper scoring rules for strategic agents, but step-function thresholds enable first-best screening without it, uniquely for the Brier score.