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Preferences Over Sets of Lotteries

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Author Info
WOJCIECH OLSZEWSKI

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Abstract

This paper studies a model in which in period 1, a decision-maker chooses a set of lotteries and in period 2, Nature chooses a lottery from the set chosen by the decision-maker and the decision-maker consumes the lottery chosen by Nature. Larger sets are interpreted as representing more ambiguous objective information about the lottery that will be consumed. The axioms imposed on preferences over sets of lotteries generalize those often imposed on preferences over single lotteries in the existing literature. A decision-maker who satisfies these axioms evaluates sets of lotteries according to a weighted average of the expected utilities of the best and the worst lottery in a set, with the weights interpreted as a measure of (comparative) attitude to objective ambiguity. Copyright 2007 The Review of Economic Studies Limited.

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File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1467-937X.2007.00431.x
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Publisher Info
Article provided by Blackwell Publishing in its journal Review of Economic Studies.

Volume (Year): 74 (2007)
Issue (Month): 2 (04)
Pages: 567-595
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Handle: RePEc:bla:restud:v:74:y:2007:i:2:p:567-595

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  1. Thibault Gajdos & Takashi Hayashi & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2006. "Attitude toward imprecise information," Cahiers de la Maison des Sciences Economiques v06081, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
    Other versions:
  2. Thibault Gajdos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2002. "Coping with imprecise information : a decision theoretic approach," Cahiers de la Maison des Sciences Economiques v04056, Université Panthéon-Sorbonne (Paris 1), revised May 2004. [Downloadable!]
    Other versions:
  3. Marie-Louise Vierø, 2009. "Exactly what happens after the Anscombe–Aumann race?," Economic Theory, Springer, vol. 41(2), pages 175-212, November. [Downloadable!] (restricted)
  4. Raphaël Giraud, 2006. "Objective Imprecise Probabilistic Information, Second Order Beliefs and Ambiguity Aversion: an Axiomatization," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00102346_v1, HAL. [Downloadable!]
  5. Tigran Melkonyan & Mark Pingle, 2008. "Ambiguity, Pessimism, and Religious Choice," Working Papers 08-002, University of Nevada, Reno, Department of Economics & University of Nevada, Reno , Department of Resource Economics. [Downloadable!]
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This page was last updated on 2009-11-22.


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