proper scoring rules

Incentive-compatible functions that reward forecasters most when they report their true beliefs honestly.

Cluster: Mechanism Design

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Articles about proper scoring rules

Concepts/proper scoring rules

proper scoring rules

Mechanism Design

Incentive-compatible functions that reward forecasters most when they report their true beliefs honestly.

Referenced in 5 articles

Articles

Explainer on Self-Resolving Prediction Markets
michaellwy·Nov 11, 2025·II·Design

Explains the SKC (Srinivasan, Karger, Chen) mechanism for prediction markets on unverifiable outcomes. Markets resolve using crowd consensus as the outcome, with delta-based scoring rewarding participants for moving markets toward final consensus. Enables markets for subjective questions lacking ground truth.

The Game Theory Behind Prediction Markets
Baheet·Sep 10, 2025·II·Fundamentals

Educational thread on the game-theoretic foundations of prediction markets. Explains why truth-telling is the dominant strategy through incentive compatibility, details how LMSR works as a proper scoring rule, and argues prediction market builders need economists and game theory experts on their teams.

Designing Markets for Prediction
Yiling Chen, David M. Pennock·Jan 14, 2025·III·Design

Academic survey of prediction mechanism design from a mechanism design perspective. Covers scoring rules, market scoring rules (LMSR), cost-function-based market makers, dynamic parimutuel markets, incentive compatibility, combinatorial markets, and peer prediction systems for subjective events where ground truth doesn't exist.

Self-Resolving Prediction Markets for Unverifiable Outcomes
Siddarth Srinivasan, Ezra Karger, Yiling Chen·Jun 7, 2023·III·Design

Proposes a mechanism for prediction markets where outcomes cannot be objectively verified. Uses the last reporter's prediction as a reference point, creating incentives for truthful reporting through negative cross-entropy payments. Proves truthful reporting is a perfect Bayesian equilibrium.

Combinatorial Prediction Markets: An Experimental Study
Powell, Hanson, Laskey & Twardy·Sep 16, 2013·III·Design

Investigates combinatorial prediction markets, which extend the standard model to support forecasts on conditional events (e.g., A given B) and Boolean combinations of events rather than only base events. Reports experimental results comparing combinatorial versus flat market structures on forecasting accuracy and calibration. Co-authored by Robin Hanson, whose LMSR underpins most automated prediction markets.