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Subjective Probabilities on a State Space

Author

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  • Edi Karni

Abstract

This paper extends the analytical framework of Karni (2011) to include a state space and advances a choice-based definition of subjective probabilities on this space. These probabilities represent the beliefs of Bayesian decision makers regarding the likelihoods of events, thus resolving a long-standing, fundamental difficulty with the definition of subjective probabilities. (JEL D81, D83)

Suggested Citation

  • Edi Karni, 2011. "Subjective Probabilities on a State Space," American Economic Journal: Microeconomics, American Economic Association, vol. 3(4), pages 172-185, November.
    • Handle: RePEc:aea:aejmic:v:3:y:2011:i:4:p:172-85
    Note: DOI: 10.1257/mic.3.4.172
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    File URL: http://www.aeaweb.org/articles.php?doi=10.1257/mic.3.4.172
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    References listed on IDEAS

    as
    1. Machina Mark J. & Schmeidler David, 1995. "Bayes without Bernoulli: Simple Conditions for Probabilistically Sophisticated Choice," Journal of Economic Theory, Elsevier, vol. 67(1), pages 106-128, October.
    2. Nau, Robert F, 1995. "Coherent Decision Analysis with Inseparable Probabilities and Utilities," Journal of Risk and Uncertainty, Springer, vol. 10(1), pages 71-91, January.
    3. Edi Karni, 2011. "A theory of Bayesian decision making with action-dependent subjective probabilities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 125-146, September.
    4. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
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    Citations

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    Cited by:

    1. David Dillenberger & Andrew Postlewaite & Kareen Rozen, 2011. "Optimism and Pessimism with Expected Utility, Third Version," PIER Working Paper Archive 13-001, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 26 Dec 2012.
    2. David Dillenberger & Andrew Postlewaite & Kareen Rozen, 2011. "Optimism and Pessimism with Expected Utility, Second Version," PIER Working Paper Archive 12-031, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 10 Aug 2012.
    3. Edi Karni, 2013. "Bayesian decision theory with action-dependent probabilities and risk attitudes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(2), pages 335-356, June.
    4. David Dillenberger & Andrew Postlewaite & Kareen Rozen, 2011. "Optimism and Pessimism with Expected Utility, Fourth Version," PIER Working Paper Archive 13-068, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 01 Nov 2013.
    5. David Dillenberger & Andrew Postlewaite & Kareen Rozen, 2017. "Optimism and Pessimism with Expected Utility," Journal of the European Economic Association, European Economic Association, vol. 15(5), pages 1158-1175.
    6. David Dillenberger & Andrew Postlewaite & Kareen Rozen, 2013. "Optimism and Pessimism with Expected Utility, Fifth Version," PIER Working Paper Archive 15-009, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 23 Feb 2015.
    7. Karni, Edi, 2020. "On the indeterminacy of the representation of beliefs by probabilities," Economics Letters, Elsevier, vol. 196(C).

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    More about this item

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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