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Inferring preferences from choices under uncertainty

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  • Christoph Kuzmics

    ()
    (Institute of Mathematical Economics, Bielefeld University)

Abstract

If a decision maker, in a world of uncertainty a la Anscombe and Aumann (1963), can choose acts according to some objective probability distribution (by throwing dice for instance) from any given set of acts, then there is no set of acts that allows an experimenter to test more than the Axiom of EUOL (that the DM evaluates objective lotteries with an expected utility function). In fact there is no (common) experimental design that allows an experimenter to test more than EUOL. For any decision problem (or set of decision problems), for any preference relation that satisfies the Axiom EUOL, and for any optimal choice (or collection of choices) given this preference relation, there is another preference relation that satisfies EUOL plus the Savage axioms, for which this choice is also optimal.

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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-462.pdf
File Function: First version, 2012
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Bibliographic Info

Paper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 462.

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Length: 16 pages
Date of creation: Mar 2012
Date of revision:
Handle: RePEc:bie:wpaper:462

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Related research

Keywords: ambiguity; decision theory; Knightian uncertainty; experiments;

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  1. Sujoy Mukerji & Peter Klibanoff, 2002. "A Smooth Model of Decision,Making Under Ambiguity," Economics Series Working Papers 113, University of Oxford, Department of Economics.
  2. Vincent Feltkamp & Yoram Halevy, 1999. "- A Bayesian Approach To Uncertainty Aversion," Working Papers. Serie AD 1999-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  3. Halevy, Yoram, 2005. "Ellsberg Revisited: an Experimental Study," Microeconomics.ca working papers halevy-05-07-26-11-51-13, Vancouver School of Economics, revised 25 Feb 2014.
  4. Al-Najjar, Nabil I. & Weinstein, Jonathan, 2009. "The Ambiguity Aversion Literature: A Critical Assessment," Economics and Philosophy, Cambridge University Press, vol. 25(03), pages 249-284, November.
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