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Subjective Probability without Monotonicity: Or How Machina's Mom May Also Be Probabilistically Sophisticated

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Author Info
Grant, Simon

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Abstract

If an agent's preferences over subjectively uncertain acts are consistent with him having a subjective probability distribution over the states of nature, then those preferences can induce consistent preferences over 'objectively' risky lotteries. Such 'probabilistically sophisticated' behavior allows us to treat decision making under uncertainty as though it is under risk. This paper first characterizes exactly what probabilistic sophistication entails for an agent's beliefs about the likelihood of states of nature. Secondly, it presents characterizations of probabilistically sophisticated individuals whose induced lottery preferences obey neither the independence axiom nor a monotonicity property that is shown to share some of the nature of independence. Copyright 1995 by The Econometric Society.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 63 (1995)
Issue (Month): 1 (January)
Pages: 159-89
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Handle: RePEc:ecm:emetrp:v:63:y:1995:i:1:p:159-89

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  1. Halevy, Yoram & Ozdenoren, Emre, 2008. "Uncertainty and Compound Lotteries: Calibration," Micro Theory Working Papers yoram_halevy-2008-7, Microeconomics.ca Website, revised 17 Jun 2008. [Downloadable!]
  2. Edi Karni, 2005. "A New Approach to Modeling Decision-Making under Uncertainty and Defining Subjective Probabilities," Economics Working Paper Archive 519, The Johns Hopkins University,Department of Economics. [Downloadable!]
  3. Massimo Marinacci, 2001. "Probabilistic sophistication and multiple priors," ICER Working Papers - Applied Mathematics Series 08-2001, ICER - International Centre for Economic Research. [Downloadable!]
    Other versions:
  4. Simon Grant & Atsushi Kajii & Ben Polak, 1999. "Decomposable Choice Under Uncertainty," Cowles Foundation Discussion Papers 1207, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  5. Simon Grant & Atsushi Kajii, 2005. "Probabilistically Sophisticated Multiple Priors," KIER Working Papers 608, Kyoto University, Institute of Economic Research. [Downloadable!]
  6. 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!]
  7. Mark Machina, 2002. "Robustifying the Classical Model of Risk Preferences and Beliefs," University of California at San Diego, Economics Working Paper Series 2002-06, Department of Economics, UC San Diego. [Downloadable!]
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