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Uncertainty aversion in nonprobabilistic decision models

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  • Bossert, Walter

Abstract

This paper proposes a definition of uncertainty aversion for nonprobabilistic decision models and characterizes the decision rules that are uncertainty averses in that sense. Dual results are obtained for uncertainty appeal and it is shown that imposing an uncertainty neutrality condition leads to an impossibility result.
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Suggested Citation

  • Bossert, Walter, 1997. "Uncertainty aversion in nonprobabilistic decision models," Mathematical Social Sciences, Elsevier, vol. 34(3), pages 191-203, October.
    • Handle: RePEc:eee:matsoc:v:34:y:1997:i:3:p:191-203
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    1. Cohen, Michele & Jaffray, Jean-Yves, 1980. "Rational Behavior under Complete Ignorance," Econometrica, Econometric Society, vol. 48(5), pages 1281-1299, July.
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    12. Nitzan, Shmuel I. & Pattanaik, Prasanta K., 1984. "Median-based extensions of an ordering over a set to the power set: An axiomatic characterization," Journal of Economic Theory, Elsevier, vol. 34(2), pages 252-261, December.
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    15. Bandyopadhyay, Taradas, 1988. "Extension of an order on a set to the power set: some further observations," Mathematical Social Sciences, Elsevier, vol. 15(1), pages 81-85, February.
    16. Bossert, Walter, 1989. "On the extension of preferences over a set to the power set: An axiomatic characterization of a quasi-ordering," Journal of Economic Theory, Elsevier, vol. 49(1), pages 84-92, October.
    17. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-577, May.
    18. Bossert Walter & Pattanaik Prasanta K. & Xu Yongsheng, 1994. "Ranking Opportunity Sets: An Axiomatic Approach," Journal of Economic Theory, Elsevier, vol. 63(2), pages 326-345, August.
    19. Barbera, Salvador & Pattanaik, Prasanta K., 1984. "Extending an order on a Set to the power set: Some remarks on Kannai and Peleg's approach," Journal of Economic Theory, Elsevier, vol. 32(1), pages 185-191, February.
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    Citations

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    Cited by:

    1. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    2. Sebastian Bervoets, 2010. "An axiomatic approach to predictability of outcomes in an interactive setting," Theory and Decision, Springer, vol. 68(3), pages 311-323, March.
    3. Ritxar Arlegi, 2001. "Rational Evaluation of Actions Under Complete Uncertainty," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0114, Departamento de Economía - Universidad Pública de Navarra.
    4. Congar, Ronan & Maniquet, François, 2010. "A trichotomy of attitudes for decision-making under complete ignorance," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 15-25, January.
    5. repec:spo:wpmain:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    6. Bossert, Walter, 2000. "Opportunity sets and uncertain consequences1," Journal of Mathematical Economics, Elsevier, vol. 33(4), pages 475-496, May.
    7. repec:spo:wpecon:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    8. Crès, Hervé & Gilboa, Itzhak & Vieille, Nicolas, 2011. "Aggregation of multiple prior opinions," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2563-2582.
    9. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS
    10. repec:hal:wpspec:info:hdl:2441/eu4vqp9ompqllr09iepso50rh is not listed on IDEAS

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    More about this item

    JEL classification:

    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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