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Proper scoring & elicitation

Can audits be predictable without corrupting scores?

research/audit-weighted-scoring

Scoring when truth exists only on audited tasks: report-dependent audit rates make naive scoring improper (shift −bp(1−p)/(2(a+bp)), full hiding for steep rates), inverse-propensity weighting is exactly proper for any audit rule, and Neyman allocation gains only 3–11% variance.

9 tests

What it found

If truth arrives only on audited tasks and the audit rate depends on the report (say g(r)=a+br), “score when audited” is no longer proper: the verifier shades by about −bp(1−p)/(2(a+bp)) and, for steep b, hides at r=0 (Brier excess 0.25 at p=0.5). Weighting the audited loss by 1/g(r) is exactly proper for any audit rule, at variance E[B²]/g−L² and payout cap 1/gmin; the Neyman audit allocation minimises variance but gains only 3–11% over uniform. Stylised.

A figure from its own output

Figure produced by research/audit-weighted-scoring: report_shift
audit-weighted-scoring/experiments/report_shift.svg, written by the project's own experiment code.

Paper, code and results

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Produced with AI assistance (Claude). Results are from the code in this repository and are simulated or stylised unless the abstract says otherwise; nothing here implies affiliation with or endorsement by any lab, researcher or company cited. MIT licensed.