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Mean-Dispersion Preferences and Constant Absolute Uncertainty Aversion

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Abstract

We axiomatize, in an Anscombe-Aumann framework, the class of preferences that admit a representation of the form V(f) = mu - rho(d), where mu is the mean utility of the act f with respect to a given probability, d is the vector of state-by-state utility deviations from the mean, and rho(d) is a measure of (aversion to) dispersion that corresponds to an uncertainty premium. The key feature of these mean-dispersion preferences is that they exhibit constant absolute uncertainty aversion. This class includes many well-known models of preferences from the literature on ambiguity. We show what properties of the dispersion function rho(dot) correspond to known models, to probabilistic sophistication, and to some new notions of uncertainty aversion.

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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1805.

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Length: 54 pages
Date of creation: Jun 2011
Date of revision:
Handle: RePEc:cwl:cwldpp:1805

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Keywords: Ambiguity aversion; Translation invariance; Dispersion; Uncertainty; Probabilistic sophistication;

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Cited by:
  1. Chambers, Robert G & Grant, Simon & Polak, Ben & Quiggin, John, 2011. "A Two-Parameter Model of Dispersion Aversion," Risk and Sustainable Management Group Working Papers 151196, University of Queensland, School of Economics.
  2. Gumen, Anna & Savochkin, Andrei, 2013. "Dynamically stable preferences," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1487-1508.

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