Preferences with changing ambiguity aversion

We provide two extensions of Gilboa and Schmeidler (J Math Econ 18:141–153, 1989)’s maxmin expected utility decision rule to accommodate a decision maker’s changing ambiguity attitudes. The two rules are, respectively, a weighted maxmin rule and a variant constraint rule. The former evaluates an act...

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Main Author: XUE, Jingyi
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Language:English
Published: Institutional Knowledge at Singapore Management University 2020
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Online Access:https://ink.library.smu.edu.sg/soe_research/2237
https://ink.library.smu.edu.sg/context/soe_research/article/3236/viewcontent/PreferencesWithChangingAmbiguity_afv.pdf
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spelling sg-smu-ink.soe_research-32362021-11-16T05:07:33Z Preferences with changing ambiguity aversion XUE, Jingyi We provide two extensions of Gilboa and Schmeidler (J Math Econ 18:141–153, 1989)’s maxmin expected utility decision rule to accommodate a decision maker’s changing ambiguity attitudes. The two rules are, respectively, a weighted maxmin rule and a variant constraint rule. The former evaluates an act by a weighted average of its worst and best possible expected utilities over a set of priors, with the weights depending on the act. The latter evaluates an act by its worst expected utility over a neighborhood of a set of approximating priors, with the size of the neighborhood depending on the act. Canonical representations of the two rules are provided for classes of preference relations that exhibit, respectively, ambiguity aversion à la Schmeidler (Econometrica 57:571–587, 1989) and ambiguity aversion à la Ghirardato and Marinacci (J Econ Theory 102:251–289, 2002). In the second part of this paper, we study wealth effect under ambiguity. We propose axioms on absolute and relative ambiguity aversion and derive three representations for the ambiguity averse preference relations exhibiting decreasing (increasing) absolute ambiguity aversion. In particular, decreasing absolute ambiguity aversion implies that as the baseline utility of an act increases, a weighted maxmin decision maker puts less weight on the worst case, and a variant constraint decision maker considers a smaller neighborhood of approximating priors. 2020-02-01T08:00:00Z text application/pdf https://ink.library.smu.edu.sg/soe_research/2237 info:doi/10.1007/s00199-018-1156-2 https://ink.library.smu.edu.sg/context/soe_research/article/3236/viewcontent/PreferencesWithChangingAmbiguity_afv.pdf http://creativecommons.org/licenses/by-nc-nd/4.0/ Research Collection School Of Economics eng Institutional Knowledge at Singapore Management University Ambiguity averse preferences; Ambiguity; Increasing relative ambiguity aversion; Decreasing absolute ambiguity aversion; Wealth effect; Variant constraint representation; Weighted maxmin representation Economic Theory
institution Singapore Management University
building SMU Libraries
continent Asia
country Singapore
Singapore
content_provider SMU Libraries
collection InK@SMU
language English
topic Ambiguity averse preferences; Ambiguity; Increasing relative ambiguity aversion; Decreasing absolute ambiguity aversion; Wealth effect; Variant constraint representation; Weighted maxmin representation
Economic Theory
spellingShingle Ambiguity averse preferences; Ambiguity; Increasing relative ambiguity aversion; Decreasing absolute ambiguity aversion; Wealth effect; Variant constraint representation; Weighted maxmin representation
Economic Theory
XUE, Jingyi
Preferences with changing ambiguity aversion
description We provide two extensions of Gilboa and Schmeidler (J Math Econ 18:141–153, 1989)’s maxmin expected utility decision rule to accommodate a decision maker’s changing ambiguity attitudes. The two rules are, respectively, a weighted maxmin rule and a variant constraint rule. The former evaluates an act by a weighted average of its worst and best possible expected utilities over a set of priors, with the weights depending on the act. The latter evaluates an act by its worst expected utility over a neighborhood of a set of approximating priors, with the size of the neighborhood depending on the act. Canonical representations of the two rules are provided for classes of preference relations that exhibit, respectively, ambiguity aversion à la Schmeidler (Econometrica 57:571–587, 1989) and ambiguity aversion à la Ghirardato and Marinacci (J Econ Theory 102:251–289, 2002). In the second part of this paper, we study wealth effect under ambiguity. We propose axioms on absolute and relative ambiguity aversion and derive three representations for the ambiguity averse preference relations exhibiting decreasing (increasing) absolute ambiguity aversion. In particular, decreasing absolute ambiguity aversion implies that as the baseline utility of an act increases, a weighted maxmin decision maker puts less weight on the worst case, and a variant constraint decision maker considers a smaller neighborhood of approximating priors.
format text
author XUE, Jingyi
author_facet XUE, Jingyi
author_sort XUE, Jingyi
title Preferences with changing ambiguity aversion
title_short Preferences with changing ambiguity aversion
title_full Preferences with changing ambiguity aversion
title_fullStr Preferences with changing ambiguity aversion
title_full_unstemmed Preferences with changing ambiguity aversion
title_sort preferences with changing ambiguity aversion
publisher Institutional Knowledge at Singapore Management University
publishDate 2020
url https://ink.library.smu.edu.sg/soe_research/2237
https://ink.library.smu.edu.sg/context/soe_research/article/3236/viewcontent/PreferencesWithChangingAmbiguity_afv.pdf
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