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Objective rationality and uncertainty averse preferences

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,: Department of Decision Sciences and IGIER, Università Bocconi

Authors registered in the RePEc Author Service: Simone Cerreia-Vioglio

Theoretical Economics, 2016, vol. 11, issue 2

Abstract: As in Gilboa, Maccheroni, Marinacci, and Schmeidler \cite{GMMS}, we consider a decision maker characterized by two binary relations: $\succsim^{\ast}$ and $\succsim^{{\small \wedge}}$. The first binary relation is a Bewley preference. It\ models the rankings for which the decision maker is sure. The second binary relation is an uncertainty averse preference, as defined by Cerreia-Vioglio, Maccheroni, Marinacci, and Montrucchio \cite{CMMM}. It models the rankings that the decision maker expresses if he has to make a choice. We assume that $\succsim^{{\small \wedge}}$ is a completion of $\succsim^{\ast}% $.\ We identify axioms under which the set of probabilities and the utility index representing $\succsim^{\ast}$ are the same as those representing $\succsim^{{\small \wedge}}$. In this way, we show that Bewley preferences and uncertainty averse preferences, two different approaches in modelling decision making under Knightian uncertainty, are complementary. As a by-product, we extend the main result of Gilboa, Maccheroni, Marinacci, and Schmeidler \cite{GMMS}, who restrict their attention to maxmin expected utility completions.

Keywords: Ambiguity; Bewley preferences; uncertainty averse preferences; preferences completion (search for similar items in EconPapers)
JEL-codes: D81 (search for similar items in EconPapers)
Date: 2016-05-18
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Citations: View citations in EconPapers (22)

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Working Paper: Objective Rationality and Uncertainty Averse Preferences (2011) Downloads
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