WOMAC: A Mechanism For Prediction Competitions

TL;DR

WOMAC is a new deterministic mechanism for prediction competitions that scores experts against the best peer aggregate, improving incentive compatibility and statistical efficiency in noisy outcome settings.

Contribution

The paper introduces WOMAC, a novel deterministic scoring mechanism that enhances incentive compatibility and efficiency in prediction competitions with noisy outcomes.

Findings

WOMAC outperforms standard mechanisms in real-world datasets.

WOMAC provides more reliable out-of-sample performance predictions.

The mechanism is computationally efficient and theoretically justified.

Abstract

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.