skip to main content
research-article

Introduction to dynamic belief elicitation

Published:12 November 2015Publication History
Skip Abstract Section

Abstract

We present a protocol for eliciting dynamic beliefs from forecasters. At time t = 0, forecasters hold beliefs about a random variable of interest that will realize publicly at time t = 1. Between t = 0 and t = 1, forecasters observe private information that impacts their beliefs. We design a class of protocols that, at the outset, elicit forecasters' beliefs about the random variable and elicit beliefs about any private information they expect to receive over time, and then elicit the private information that forecasters receive as they receive it. We show that any alternative elicitation mechanism can be approximated by protocols in our class. The information elicited can be used to solve optimally an arbitrary dynamic decision problem.

References

  1. Allais, M. 1953. Le comportement de l'homme rationnel devant le risque: Critique des postulats et axiomes de l'école américaine. Econometrica 21, 4, 503--546.Google ScholarGoogle ScholarCross RefCross Ref
  2. Becker, G., DeGroot, M., and Marschak, J. 1964. Measuring utility by a single-response sequential method. Behavioral Science 9, 3, 226--232.Google ScholarGoogle ScholarCross RefCross Ref
  3. Brier, G. W. 1950. Verification of forecasts expressed in terms of probability. Monthly Weather Review 78, 1, 1--3.Google ScholarGoogle ScholarCross RefCross Ref
  4. Chambers, C. P. and Lambert, N. S. 2014. Dynamically eliciting unobservable information. Working paper.Google ScholarGoogle Scholar
  5. Gneiting, T. and Raftery, A. 2007. Strictly proper scoring rules, prediction, and estimation. Journal of the American Statistical Association 102, 477, 359--378.Google ScholarGoogle ScholarCross RefCross Ref
  6. Matheson, J. and Winkler, R. 1976. Scoring rules for continuous probability distributions. Management Science 22, 10, 1087--1096.Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. McCarthy, J. 1956. Measures of the value of information. Proceedings of the National Academy of Sciences of the United States of America 42, 9, 654.Google ScholarGoogle ScholarCross RefCross Ref
  8. Rochet, J.-C. 1985. The taxation principle and multi-time hamilton-jacobi equations. Journal of Mathematical Economics 14, 2, 113--128.Google ScholarGoogle ScholarCross RefCross Ref
  9. Savage, L. 1971. Elicitation of personal probabilities and expectations. Journal of the American Statistical Association 66, 336, 783--801.Google ScholarGoogle ScholarCross RefCross Ref

Index Terms

  1. Introduction to dynamic belief elicitation

    Recommendations

    Comments

    Login options

    Check if you have access through your login credentials or your institution to get full access on this article.

    Sign in

    Full Access

    PDF Format

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader