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Probabilistic Sophistication and Stochastic Monotonicity in the Savage Framework

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  • Simon Grant
  • Hatice Ozsoy
  • Ben Polak

Abstract

Machina and Schmeidler [Machina, M., Schmeidler, D., 1992. A more robust definition of subjective probability. Econometrica 60, 745-780] show that probabilistic sophistication can be obtained in a Savage setting without imposing expected utility by dropping Savage's axiom P2 (sure-thing principle) and strengthening his axiom P4 (weak comparative probability). Their stronger axiom, however, embodies a degree of separability analogous to P2. In this note, we obtain probabilistic sophistication using Savage's original axiom P4 and a weaker analog of Savage's P2.
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Suggested Citation

  • Simon Grant & Hatice Ozsoy & Ben Polak, 2007. "Probabilistic Sophistication and Stochastic Monotonicity in the Savage Framework," Levine's Bibliography 122247000000001390, UCLA Department of Economics.
    • Handle: RePEc:cla:levrem:122247000000001390
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    File URL: http://cowles.econ.yale.edu/P/cd/d16a/d1621.pdf
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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. Grant, Simon & Polak, Ben, 2006. "Bayesian beliefs with stochastic monotonicity: An extension of Machina and Schmeidler," Journal of Economic Theory, Elsevier, vol. 130(1), pages 264-282, September.
    3. Machina, Mark J & Schmeidler, David, 1992. "A More Robust Definition of Subjective Probability," Econometrica, Econometric Society, vol. 60(4), pages 745-780, July.
    4. Sarin, Rakesh & Wakker, Peter P., 2000. "Cumulative dominance and probabilistic sophistication," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 191-196, September.
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    2. Fleurbaey, Marc & Zuber, Stéphane, 2017. "Fair management of social risk," Journal of Economic Theory, Elsevier, vol. 169(C), pages 666-706.

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    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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