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Certainty Independence and the Separation of Utility and Beliefs

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Author Info
Paolo Ghirardato ()
Fabio Maccheroni ()
Massimo Marinacci ()

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Abstract

Economists often operate under an implicit assumption that the tastes of a decision maker are constant, while his beliefs change with the availability of new information. It is therefore customary to seek representations of preferences which cleanly separate the taste component, called ‘utility,’ from the beliefs component. We show that a complete separation of utility from the other components of the representation is possible only if the decision maker’s preferences satisfy a mild but not completely innocuous condition, called ‘certainty independence.’ We prove that the preferences that obtain such separation are a subset of the biseparable preferences.nonatomic probability measures, we extend some of these results to the case of individuals with decreasing marginal evaluations.

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Paper provided by ICER - International Centre for Economic Research in its series ICER Working Papers - Applied Mathematics Series with number 40-2002.

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Length: 15 pages
Date of creation: Dec 2002
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Handle: RePEc:icr:wpmath:40-2002

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  1. Massimiliano Amarante, 2006. "Analogical reasoning in decision processes," Discussion Papers 0506-17, Columbia University, Department of Economics. [Downloadable!]
  2. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On rates of convergence for posterior distributions in infinite–dimensional models," ICER Working Papers - Applied Mathematics Series 24-2004, ICER - International Centre for Economic Research. [Downloadable!]
  3. Thibault Gajdos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2002. "Decision Making with Imprecise Probabilistic Information," ICER Working Papers - Applied Mathematics Series 18-2003, ICER - International Centre for Economic Research, revised May 2003. [Downloadable!]
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  4. Klaus Nehring, 2006. "Bernoulli Without Bayes: A Theory of Utility-Sophisticated Preferences under Ambiguity," Economics Working Papers 0072, Institute for Advanced Study, School of Social Science. [Downloadable!]
  5. Thibault Gajdos & Eric Maurin, 2002. "Unequal uncertainties and uncertain inequalities: an axiomatic approach," ICER Working Papers - Applied Mathematics Series 15-2003, ICER - International Centre for Economic Research, revised Mar 2003. [Downloadable!]
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  6. Massimiliano Amarante, 2004. "States, models and unitary equivalence I: Representation theorems and analogical reasoning," Discussion Papers 0405-10, Columbia University, Department of Economics. [Downloadable!]
  7. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "Contributions to the understanding of Bayesian consistency," ICER Working Papers - Applied Mathematics Series 13-2004, ICER - International Centre for Economic Research. [Downloadable!]
  8. Alfred Müller & Marco Scarsini, 2003. "Archimedean Copulae and Positive Dependence," ICER Working Papers - Applied Mathematics Series 25-2003, ICER - International Centre for Economic Research. [Downloadable!]
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  9. Klaus Nehring, 2006. "Decision-Making in the Context of Imprecise Probabilistic Beliefs," Economics Working Papers 0034, Institute for Advanced Study, School of Social Science. [Downloadable!]
  10. Antonio Lijoi & Igor Prünster & Stephen G. Walker, 2004. "On consistency of nonparametric normal mixtures for Bayesian density estimation," ICER Working Papers - Applied Mathematics Series 23-2004, ICER - International Centre for Economic Research. [Downloadable!]
  11. Salvatore Modica & Marco Scarsini, 2003. "The convexity-cone approach to comparative risk and downside risk," ICER Working Papers - Applied Mathematics Series 01-2003, ICER - International Centre for Economic Research. [Downloadable!]
  12. Taizhong Hu & Alfred Müller & Marco Scarsini, 2002. "Some Counterexamples in Positive Dependence," ICER Working Papers - Applied Mathematics Series 28-2003, ICER - International Centre for Economic Research, revised Jul 2003. [Downloadable!]
  13. Robert Chambers & Tigran Melkonyan, 2008. "Eliciting beliefs," Theory and Decision, Springer, vol. 65(4), pages 271-284, December. [Downloadable!] (restricted)
  14. Jerome Renault & Sergio Scarlatti & Marco Scarsini, 2003. "A folk theorem for minority games," ICER Working Papers - Applied Mathematics Series 10-2003, ICER - International Centre for Economic Research. [Downloadable!]
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