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Subadditive Probabilities and Portfolio Inertia

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  • Simonsen, Mario Henrique
  • Werlang, Sérgio Ribeiro da Costa

Abstract

We show that in the presence of uncertainty (in the sense of Knight), as axiomatized by Schmeidler (1982, 1984) and Gilboa (1987) (as opposed to the classical view of Savage (1954)) one may obtain portfolio inertia with positive quantities held of all assets. We also present a comprehensive survey of the recent literature on uncertainty, with special emphasis on the subadditive probabilities model.

Suggested Citation

  • Simonsen, Mario Henrique & Werlang, Sérgio Ribeiro da Costa, 1991. "Subadditive Probabilities and Portfolio Inertia," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 11(1), April.
    • Handle: RePEc:sbe:breart:v:11:y:1991:i:1:a:3007
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    References listed on IDEAS

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    1. Simonsen, Mario Henrique, 1986. "Rational expectations, income policies and game theory," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 90, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    2. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    3. Gilboa, Itzhak, 1987. "Expected utility with purely subjective non-additive probabilities," Journal of Mathematical Economics, Elsevier, vol. 16(1), pages 65-88, February.
    4. simonsen, Mario Henrique, 1986. "Rational expectations, income policies and game theory," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 6(2), November.
    5. Truman F. Bewley, 1986. "Knightian Decision Theory: Part 1," Cowles Foundation Discussion Papers 807, Cowles Foundation for Research in Economics, Yale University.
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    1. Camerer, Colin & Weber, Martin, 1992. "Recent Developments in Modeling Preferences: Uncertainty and Ambiguity," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 325-370, October.
    2. Werlang, Sérgio Ribeiro da Costa, 2000. "A notion of subgame perfect Nash equilibrium under knightian uncertainty," FGV EPGE Economics Working Papers (Ensaios Economicos da EPGE) 376, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil).
    3. Ghirardato, Paolo, 1997. "On Independence for Non-Additive Measures, with a Fubini Theorem," Journal of Economic Theory, Elsevier, vol. 73(2), pages 261-291, April.
    4. Ben-Rephael, Azi & Cookson, J. Anthony & izhakian, yehuda, 2022. "Trading, Ambiguity and Information in the Options Market," SocArXiv ewunv, Center for Open Science.
    5. Dirk G. Baur & Thomas K.J. McDermott, 2011. "Safe Haven Assets and Investor Behaviour Under Uncertainty," The Institute for International Integration Studies Discussion Paper Series iiisdp392, IIIS, revised Feb 2012.
    6. Junyong He & Helen Hui Huang & Shunming Zhang, 2020. "Ambiguity Aversion, Information Acquisition, and Market Opacity," Annals of Economics and Finance, Society for AEF, vol. 21(2), pages 263-329, November.

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