Demand-derived category labels are sufficient statistics for coordination, with welfare gaps tightly bounded by within-category allocation variance and a fundamental trade-off between welfare and detection performance as the number of categories increases.
Conditional expectation and unbiased sequential estimation.The Annals of Mathematical Statistics, 18(1):105–110, 1947
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MISES: Minimal Information Sufficiency for Effective Service
Demand-derived category labels are sufficient statistics for coordination, with welfare gaps tightly bounded by within-category allocation variance and a fundamental trade-off between welfare and detection performance as the number of categories increases.