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Duality in non-additive expected utility theory

  • Part IV New Results In Nonlinear Preference Theory
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Abstract

Some duality problems in expected utility theory, raised by the introduction of non-additive probabilities, are examined. These problems do not arise if the probability measure is symmetric; i.e. has the property of complementary additivity. Additional, mild properties of coherence of conditional probabilities imply full additivity of the unconditional measure.

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Authors and Affiliations

  1. J.L. Kellogg Graduate School of Management, Northwestern University, 60208, Evanston, Illinois, USA

    Itzhak Gilboa

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  1. Itzhak Gilboa
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Gilboa, I. Duality in non-additive expected utility theory. Ann Oper Res 19, 405–414 (1989). https://doi.org/10.1007/BF02283531

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  • DOI: https://doi.org/10.1007/BF02283531

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