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Credible Scores

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  • Jacopo Bizzotto
  • Nathan Hancart

Abstract

We study multidimensional cheap talk with simple language and aligned preferences. An expert communicates with a decision-maker using a score that aggregates a multidimensional state into a one-dimensional message. Expert and decision-maker share the same quadratic-loss utility function. We show that the use of simple language introduces strategic considerations. First, equilibrium payoffs may be lower than those achievable under commitment to a score. Additionally, any equilibrium score must be either linear or discrete. Finally, for normally distributed states, the set of equilibrium linear scores includes only the ex-ante best and worst linear scores.

Suggested Citation

  • Jacopo Bizzotto & Nathan Hancart, 2025. "Credible Scores," Papers 2509.09621, arXiv.org, revised Oct 2025.
    • Handle: RePEc:arx:papers:2509.09621
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    File URL: http://arxiv.org/pdf/2509.09621
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    References listed on IDEAS

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    1. Blume, Andreas, 2018. "Failure of common knowledge of language in common-interest communication games," Games and Economic Behavior, Elsevier, vol. 109(C), pages 132-155.
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