WOMAC: A Mechanism For Prediction Competitions

Fuente: arXiv
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Autori principali: Srinivasan, Siddarth, Lin, Tao, Murphy, Connacher, Thilagar, Anish, Chen, Yiling, Karger, Ezra
Natura: Preprint
Pubblicazione: 2025
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author Srinivasan, Siddarth
Lin, Tao
Murphy, Connacher
Thilagar, Anish
Chen, Yiling
Karger, Ezra
author_facet Srinivasan, Siddarth
Lin, Tao
Murphy, Connacher
Thilagar, Anish
Chen, Yiling
Karger, Ezra
contents Competitions are widely used to identify top performers in judgmental forecasting and machine learning, and the standard competition design ranks competitors based on their cumulative scores against a set of realized outcomes or held-out labels. However, this standard design is neither incentive-compatible nor very statistically efficient. The main culprit is noise in outcomes/labels that experts are scored against; it allows weaker competitors to often win by chance, and the winner-take-all nature incentivizes misreporting that improves win probability even if it decreases expected score. Attempts to achieve incentive-compatibility rely on randomized mechanisms that add even more noise in winner selection, but come at the cost of determinism and practical adoption. To tackle these issues, we introduce a novel deterministic mechanism: WOMAC (Wisdom of the Most Accurate Crowd). Instead of scoring experts against noisy outcomes, as is standard, WOMAC scores experts against the best ex-post aggregate of peer experts' predictions given the noisy outcomes. WOMAC is also more efficient than the standard competition design in typical settings. While the increased complexity of WOMAC makes it challenging to analyze incentives directly, we provide a clear theoretical foundation to justify the mechanism. We also provide an efficient vectorized implementation and demonstrate empirically on real-world forecasting datasets that WOMAC is a more reliable predictor of experts' out-of-sample performance relative to the standard mechanism. WOMAC is useful in any competition where there is substantial noise in the outcomes/labels.
format Preprint
id arxiv_https___arxiv_org_abs_2508_17907
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle WOMAC: A Mechanism For Prediction Competitions
Srinivasan, Siddarth
Lin, Tao
Murphy, Connacher
Thilagar, Anish
Chen, Yiling
Karger, Ezra
Computer Science and Game Theory
Machine Learning
Competitions are widely used to identify top performers in judgmental forecasting and machine learning, and the standard competition design ranks competitors based on their cumulative scores against a set of realized outcomes or held-out labels. However, this standard design is neither incentive-compatible nor very statistically efficient. The main culprit is noise in outcomes/labels that experts are scored against; it allows weaker competitors to often win by chance, and the winner-take-all nature incentivizes misreporting that improves win probability even if it decreases expected score. Attempts to achieve incentive-compatibility rely on randomized mechanisms that add even more noise in winner selection, but come at the cost of determinism and practical adoption. To tackle these issues, we introduce a novel deterministic mechanism: WOMAC (Wisdom of the Most Accurate Crowd). Instead of scoring experts against noisy outcomes, as is standard, WOMAC scores experts against the best ex-post aggregate of peer experts' predictions given the noisy outcomes. WOMAC is also more efficient than the standard competition design in typical settings. While the increased complexity of WOMAC makes it challenging to analyze incentives directly, we provide a clear theoretical foundation to justify the mechanism. We also provide an efficient vectorized implementation and demonstrate empirically on real-world forecasting datasets that WOMAC is a more reliable predictor of experts' out-of-sample performance relative to the standard mechanism. WOMAC is useful in any competition where there is substantial noise in the outcomes/labels.
title WOMAC: A Mechanism For Prediction Competitions
topic Computer Science and Game Theory
Machine Learning
url https://arxiv.org/abs/2508.17907