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A Multiplicative Formula for Aggregating Probability Assessments

Author

Listed:
  • Robert F. Bordley

    (General Motors Research Labs, Warren, Michigan)

Abstract

This paper presents an axiomatic approach to the problem of aggregating expert assessments of an event's probability into some group probability assessment. A multiplicative formula is derived.

Suggested Citation

  • Robert F. Bordley, 1982. "A Multiplicative Formula for Aggregating Probability Assessments," Management Science, INFORMS, vol. 28(10), pages 1137-1148, October.
    • Handle: RePEc:inm:ormnsc:v:28:y:1982:i:10:p:1137-1148
    DOI: 10.1287/mnsc.28.10.1137
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    Citations

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    Cited by:

    1. Dietrich, Franz, 2021. "Fully Bayesian aggregation," Journal of Economic Theory, Elsevier, vol. 194(C).
    2. Nicolas Roux & Joel Sobel, 2015. "Group Polarization in a Model of Information Aggregation," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 202-232, November.
    3. Stephen C. Hora, 2013. "A Note on the Aggregation of Event Probabilities," Risk Analysis, John Wiley & Sons, vol. 33(5), pages 909-914, May.
    4. Yakov Babichenko & Dan Garber, 2021. "Learning Optimal Forecast Aggregation in Partial Evidence Environments," Mathematics of Operations Research, INFORMS, vol. 46(2), pages 628-641, May.
    5. Gilat Levy & Inés Moreno de Barreda & Ronny Razin, 2022. "Persuasion with Correlation Neglect: A Full Manipulation Result," American Economic Review: Insights, American Economic Association, vol. 4(1), pages 123-138, March.
    6. Satopää, Ville A. & Baron, Jonathan & Foster, Dean P. & Mellers, Barbara A. & Tetlock, Philip E. & Ungar, Lyle H., 2014. "Combining multiple probability predictions using a simple logit model," International Journal of Forecasting, Elsevier, vol. 30(2), pages 344-356.
    7. Ruth Ben-Yashar & Leif Danziger, 2015. "When is voting optimal?," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 341-356, October.
    8. Gilat Levy & Inés Moreno de Barreda & Ronny Razin, 2022. "Persuasion with Correlation Neglect: A Full Manipulation Result," American Economic Review: Insights, American Economic Association, vol. 4(1), pages 123-138, March.
    9. Jared A. Beekman & Ronald F. A. Woodaman & Dennis M. Buede, 2020. "A Review of Probabilistic Opinion Pooling Algorithms with Application to Insider Threat Detection," Decision Analysis, INFORMS, vol. 17(1), pages 39-55, March.
    10. Mingyang Wang & Guang Yu & Daren Yu, 2011. "Mining typical features for highly cited papers," Scientometrics, Springer;Akadémiai Kiadó, vol. 87(3), pages 695-706, June.
    11. David V. Budescu & Hsiu-Ting Yu, 2006. "To Bayes or Not to Bayes? A Comparison of Two Classes of Models of Information Aggregation," Decision Analysis, INFORMS, vol. 3(3), pages 145-162, September.
    12. Tianjiao Wang & Yelin Fu, 2020. "Constructing Composite Indicators with Individual Judgements and Best–Worst Method: An Illustration of Value Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(1), pages 1-14, May.

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