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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

Suggested Citation

  • 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, 2007. "Bayesian Decision Theory and the Representation of Beliefs," Discussion Paper Series dp444, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    3. Karni, Edi, 2007. "Foundations of Bayesian theory," Journal of Economic Theory, Elsevier, vol. 132(1), pages 167-188, January.
    4. 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.
    5. Kirsten Rohde, 2010. "The hyperbolic factor: A measure of time inconsistency," Journal of Risk and Uncertainty, Springer, vol. 41(2), pages 125-140, October.
    6. Karni, Edi, 2005. "Subjective expected utility theory with costly actions," Games and Economic Behavior, Elsevier, vol. 50(1), pages 28-41, January.

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