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Words or Numbers? How Framing Uncertainties Affects Risk Assessment and Decision-Making

Author

Listed:
  • Robin Bodenberger
  • Kirsten Thommes

Abstract

Senders of messages prefer to communicate uncertainty verbally (e.g., something is likely to happen) rather than numerically (such as 75%), leaving receivers with imprecise information. While it is well established that receivers translate verbal probabilities into numerical values that systematically deviate from the intended numerical meaning, it is less clear how this discrepancy influences subsequent behavioral actions. Thus, the role of verbal versus numerical communication of uncertainty warrants additional attention, to investigate two critical questions: 1) whether differences in decision-making under uncertainty arise between these communication forms, and 2) whether such differences persist even when verbal phrases are translated accurately into the intended numerical meaning. By implementing a laboratory experiment, we show that individuals place significantly lower values on uncertain options with medium to high likelihoods when uncertainty is communicated verbally rather than numerically. This effect may lead to less rational decisions under verbal communication, particularly at high likelihoods. Those results remain consistent even if individuals translate verbal uncertainty correctly into the intended numerical uncertainty, implying that a biased behavioral response is not only induced by miscommunication. Instead, ambiguity about the exact meaning of a verbal phrase interferes with decision-making even beyond potential mistranslations. These findings tie in with previous research on ambiguity aversion, which has predominantly operationalized ambiguity through numerical ranges rather than verbal phrases. Based on our findings we conclude that managers should communicate uncertainty numerically, as verbal communication can unintentionally influence the decision-making process of employees.

Suggested Citation

  • Robin Bodenberger & Kirsten Thommes, 2025. "Words or Numbers? How Framing Uncertainties Affects Risk Assessment and Decision-Making," Papers 2502.06241, arXiv.org, revised Dec 2025.
  • Handle: RePEc:arx:papers:2502.06241
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    References listed on IDEAS

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    5. Lilleholt, Lau, 2019. "Cognitive ability and risk aversion: A systematic review and meta analysis," Judgment and Decision Making, Cambridge University Press, vol. 14(3), pages 234-279, May.
    6. Robert N. Collins & David R. Mandel, 2019. "Cultivating credibility with probability words and numbers," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 14(6), pages 683-695, November.
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