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Parameter-Free Elicitation of Utility and Probability Weighting Functions

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Listed author(s):
  • Mohammed Abdellaoui

    ()

    (CNRS, GRID, ENS de Cachan, Department of Economics and Management, 61 avenue du Président Wilson, 94235 Cachan, France)

Abstract

This paper proposes a two-step method to successively elicit utility functions and decision weights under rank-dependent expected utility theory and its "more descriptive" version: cumulative prospect theory. The novelty of the method is that it is parameter-free, and thus elicits the whole individual preference functional without imposing any prior restriction. This method is used in an experimental study to elicit individual utility and probability weighting functions for monetary outcomes in the gain and loss domains. Concave utility functions are obtained for gains and convex utility functions for losses. The elicited weighting functions satisfy upper and lower subadditivity and are consistent with previous parametric estimations. The data also show that the probability weighting function for losses is more "elevated" than for gains.

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File URL: http://dx.doi.org/10.1287/mnsc.46.11.1497.12080
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Article provided by INFORMS in its journal Management Science.

Volume (Year): 46 (2000)
Issue (Month): 11 (November)
Pages: 1497-1512

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Handle: RePEc:inm:ormnsc:v:46:y:2000:i:11:p:1497-1512
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Keywords: decision making; expected utility; rank-dependent expected utility; cumulative prospect theory; probability weighting function;

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  17. Pamela K. Lattimore & Joanna R. Baker & A. Dryden Witte, 1992. "The Influence Of Probability on Risky Choice: A parametric Examination," NBER Technical Working Papers 0081, National Bureau of Economic Research, Inc.
  18. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56, pages 279-279.
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