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‘Expected utility / subjective probability’ analysis without the sure-thing principle or probabilistic sophistication

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  • Mark Machina

Abstract

The basic analytical concepts, tools and results of the classical expected utility/subjective probability model of risk preferences and beliefs under subjective uncertainty can be extended to general “event-smooth” preferences over subjective acts that do not necessarily satisfy either of the key behavioral assumptions of the classical model, namely the Sure-Thing Principle or the Hypothesis of Probabilistic Sophistication. This is accomplished by a technique analogous to that used by Machina (1982) and others to generalize expected utility analysis under objective uncertainty, combined with an event-theoretic approach to the classical model and the use of a special class of subjective events, acts and mixtures that exhibit “almost-objective” like properties. The classical expected utility/subjective probability characterizations of outcome monotonicity, outcome derivatives, probabilistic sophistication, comparative and relative subjective likelihood, and comparative risk aversion are all globally “robustified” to general event-smooth preferences over subjective acts. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Mark Machina, 2005. "‘Expected utility / subjective probability’ analysis without the sure-thing principle or probabilistic sophistication," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(1), pages 1-62, July.
    • Handle: RePEc:spr:joecth:v:26:y:2005:i:1:p:1-62
    DOI: 10.1007/s00199-004-0573-6
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    Citations

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    Cited by:

    1. Xiangyu Qu, 2017. "Separate aggregation of beliefs and values under ambiguity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 503-519, February.
    2. Diederik Aerts & Emmanuel Haven & Sandro Sozzo, 2018. "A proposal to extend expected utility in a quantum probabilistic framework," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(4), pages 1079-1109, June.
    3. Wing-Keung Wong & Chenghu Ma, 2008. "Preferences over location-scale family," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 119-146, October.
    4. Fujii, Tomoki, 2017. "Dynamic Poverty Decomposition Analysis: An Application to the Philippines," World Development, Elsevier, vol. 100(C), pages 69-84.
    5. Mark J. Machina, 2014. "Ambiguity Aversion with Three or More Outcomes," American Economic Review, American Economic Association, vol. 104(12), pages 3814-3840, December.
    6. Basieva, Irina & Khrennikova, Polina & Pothos, Emmanuel M. & Asano, Masanari & Khrennikov, Andrei, 2018. "Quantum-like model of subjective expected utility," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 150-162.
    7. Lall Ramrattan & Michael Szenberg, 2011. "Maurice Allais: A Review of His Major Works, A Memoriam, 1911–2010," The American Economist, Sage Publications, vol. 56(1), pages 104-122, May.
    8. Haven, Emmanuel & Khrennikova, Polina, 2018. "A quantum-probabilistic paradigm: Non-consequential reasoning and state dependence in investment choice," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 186-197.

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