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On the Representation of Beliefs by Probabilities

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  • Karni, Edi

Abstract

This paper explores two axiomatic structures of subjective expected utility assuming a finite state-space and state-dependent, connected, topological outcome-spaces. Building on the work of Karni and Schmeidler (1981) the analytical framework includes, in addition to the preference relation on acts, introspective preferences on hypothetical lotteries that are linked to the preference relation on acts by consistency axioms. The two models accommodate state-dependent preferences and yield subjective probabilities that correctly represent the decision-maker's beliefs. State-independent preferences are a special case. Copyright 2003 by Kluwer Academic Publishers

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  • Karni, Edi, 2003. "On the Representation of Beliefs by Probabilities," Journal of Risk and Uncertainty, Springer, vol. 26(1), pages 17-38, January.
    • Handle: RePEc:kap:jrisku:v:26:y:2003:i:1:p:17-38
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    Cited by:

    1. Simon Grant & Edi Karni, 2005. "Why Does It Matter That Beliefs And Valuations Be Correctly Represented?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(3), pages 917-934, August.
    2. Edi Karni, 2008. "Agency theory: choice-based foundations of the parametrized distribution formulation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 36(3), pages 337-351, September.
    3. Karni, Edi, 2007. "Foundations of Bayesian theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 167-188, January.
    4. Edi Karni, 2007. "Bayesian Decision Theory and the Representation of Beliefs," Levine's Bibliography 321307000000000776, UCLA Department of Economics.
    5. Veronika Köbberling & Peter P. Wakker, 2003. "Preference Foundations for Nonexpected Utility: A Generalized and Simplified Technique," Mathematics of Operations Research, INFORMS, vol. 28(3), pages 395-423, August.
    6. Karni, Edi, 2005. "Subjective expected utility theory with costly actions," Games and Economic Behavior, Elsevier, vol. 50(1), pages 28-41, January.
    7. Pavlo Blavatskyy, 2013. "A Simple Behavioral Characterization of Subjective Expected Utility," Operations Research, INFORMS, vol. 61(4), pages 932-940, August.
    8. Kirsten Rohde, 2010. "The hyperbolic factor: A measure of time inconsistency," Journal of Risk and Uncertainty, Springer, vol. 41(2), pages 125-140, October.

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