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Posterior Probabilities of the Independence Axiom with Nonexperimental Data (or Buckle Up and Fan Out)

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  • Marshall, Robert C
  • Richard, Jean-Francois
  • Zarkin, Gary A

Abstract

This article addresses the issues associated with the construction of posterior probabilities for violation of the independence axiom of expected utility from nonexperimental data. To illustrate the methodology of analyzing nonexperimental evidence, the authors consider seat-belt-usage-data. They find a posterior probability close to one of an Allais-type paradox in these data. In addition, the evidence is not inconsistent with Machina's Hypothesis II but is inconsistent with the "light" hypothesis of Chew and Waller.

Suggested Citation

  • Marshall, Robert C & Richard, Jean-Francois & Zarkin, Gary A, 1992. "Posterior Probabilities of the Independence Axiom with Nonexperimental Data (or Buckle Up and Fan Out)," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(1), pages 31-44, January.
  • Handle: RePEc:bes:jnlbes:v:10:y:1992:i:1:p:31-44
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    1. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    2. Conlisk, John, 1989. "Three Variants on the Allais Example," American Economic Review, American Economic Association, vol. 79(3), pages 392-407, June.
    3. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    4. Machina, Mark J, 1987. "Choice under Uncertainty: Problems Solved and Unsolved," Journal of Economic Perspectives, American Economic Association, vol. 1(1), pages 121-154, Summer.
    5. Camerer, Colin F, 1989. "An Experimental Test of Several Generalized Utility Theories," Journal of Risk and Uncertainty, Springer, vol. 2(1), pages 61-104, April.
    6. Fishburn, Peter C., 1983. "Transitive measurable utility," Journal of Economic Theory, Elsevier, vol. 31(2), pages 293-317, December.
    7. Battalio, Raymond C & Kagel, John H & Jiranyakul, Komain, 1990. "Testing between Alternative Models of Choice under Uncertainty: Some Initial Results," Journal of Risk and Uncertainty, Springer, vol. 3(1), pages 25-50, March.
    8. Tversky, Amos & Kahneman, Daniel, 1986. "Rational Choice and the Framing of Decisions," The Journal of Business, University of Chicago Press, vol. 59(4), pages 251-278, October.
    9. Dekel, Eddie, 1986. "An axiomatic characterization of preferences under uncertainty: Weakening the independence axiom," Journal of Economic Theory, Elsevier, vol. 40(2), pages 304-318, December.
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