EconStor >
Brown University >
Department of Economics, Brown University >
Working Papers, Department of Economics, Brown University >

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10419/62665
  
Title:Allais, Ellsberg, and preferences for Hedging PDF Logo
Authors:Deany, Mark
Ortolevaz, Pietro
Issue Date:2012
Series/Report no.:Working Paper, Brown University, Department of Economics 2012-2
Abstract:We study the relation between ambiguity aversion and the Allais paradox. To this end, we introduce a novel definition of hedging which applies to objective lotteries as well as to uncertain acts, and we use it to define a novel axiom that captures a preference for hedging which generalizes the one of Schmeidler (1989). We argue how this generalized axiom captures both aversion to ambiguity, and attraction towards certainty for objective lotteries. We show that this axiom, together with other standard ones, is equivalent to to two representations both of which generalize the MaxMin Expected Utility model of Gilboa and Schmeidler (1989). In both, the agent reacts to ambiguity using multiple priors, but does not use expected utility to evaluate objective lotteries. In our first representation, the agent treats objective lotteries as 'ambiguous objects,' and use a set of priors to evaluate them. In the second, equivalent representation, lotteries are evaluated by distorting probabilities as in the Rank-Dependent Utility model, but using the worst from a set of such distortions. Finally, we show how a preference for hedging is not sufficient to guarantee an Ellsberg-like behavior if the agent violate expected utility for objective lotteries. We then provide an axiom that guarantees that this is the case, and find an associated representation in which the agent first maps acts to an objective lottery using the worst of the priors in a set; then evaluates this lottery using the worst distortion from a set of concave Rank-Dependent Utility functionals.
Subjects:Ambiguity Aversion
Allais Paradox
Ellsberg Paradox
Hedging
Multiple Priors
Subjective Mixture
Probability Weighting
Rank Dependent Expected Utility
JEL:D81
Document Type:Working Paper
Appears in Collections:Working Papers, Department of Economics, Brown University

Files in This Item:
File Description SizeFormat
715814478.pdf578.56 kBAdobe PDF
No. of Downloads: Counter Stats
Download bibliographical data as: BibTeX
Share on:http://hdl.handle.net/10419/62665

Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.