Decomposing Crowd Wisdom: Domain-Specific Calibration Dynamics in Prediction Markets

Nam Le

Published 2026 in Unknown venue

ABSTRACT

Prediction markets are increasingly used as probability forecasting tools, yet their usefulness depends on calibration, specifically whether a contract trading at 70 cents truly implies a 70% probability. Using 292 million trades across 327,000 binary contracts on Kalshi and Polymarket, this paper shows that calibration is a structured, multidimensional phenomenon. On Kalshi, calibration decomposes into four components (a universal horizon effect, domain-specific biases, domain-by-horizon interactions and a trade-size scale effect) that together explain 87.3% of calibration variance. The dominant pattern is persistent underconfidence in political markets, where prices are chronically compressed toward 50%, and this bias generalises across both exchanges. However, the trade-size scale effect, whereby large trades are associated with amplified underconfidence in politics on Kalshi ($\Delta = 0.53$, 95% confidence interval [0.29, 0.75]), does not replicate on Polymarket ($\Delta = 0.11$, [-0.15, 0.39]), suggesting platform-specific microstructure. A Bayesian hierarchical model confirms the frequentist decomposition with 96.3% posterior predictive coverage. Consumers of prediction market prices who treat them as face-value probabilities will systematically misinterpret them, and the direction of misinterpretation depends on what is being predicted, when and by whom.

PUBLICATION RECORD

  • Publication year

    2026

  • Venue

    Unknown venue

  • Publication date

    2026-02-23

  • Fields of study

    Mathematics, Business, Economics

  • Identifiers
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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