Boolean Representations of Preferences under Ambiguity

Mira Frick (), Ryota Iijima () and Yves Le Yaouanq ()
Additional contact information
Mira Frick: Cowles Foundation, Yale University
Ryota Iijima: Cowles Foundation, Yale University, https://economics.yale.edu/people/faculty/ryota-iijima

No 2180R, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

Abstract: We propose a class of multiple-prior representations of preferences under ambiguity where the belief the decision-maker (DM) uses to evaluate an uncertain prospect is the outcome of a game played by two conflicting forces, Pessimism and Optimism. The model does not restrict the sign of the DM's ambiguity attitude, and we show that it provides a unified framework through which to characterize different degrees of ambiguity aversion, as well as to represent context-dependent negative and positive ambiguity attitudes documented in experiments. We prove that our baseline representation, Boolean expected utility (BEU), yields a novel representation of the class of invariant biseparable preferences (Ghirardato, Maccheroni, and Marinacci, 2004), which drops uncertainty aversion from maxmin expected utility (Gilboa and Schmeidler, 1989), while extensions of BEU allow for more general departures from independence.

Keywords: Ambiguity; Multiple priors; Dual-self models (search for similar items in EconPapers)
JEL-codes: D81 (search for similar items in EconPapers)
Pages: 41 pages
Date: 2019-06, Revised 2019-07
New Economics Papers: this item is included in nep-mic and nep-upt
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Working Paper: Boolean Representations of Preferences under Ambiguity (2019)
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