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Annals of Operations Research

, Volume 19, Issue 1, pp 405–414 | Cite as

Duality in non-additive expected utility theory

  • Itzhak Gilboa
Part IV New Results In Nonlinear Preference Theory

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.

Keywords

Coherence Probability Measure Conditional Probability Duality Problem Expected Utility 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© J.C. Baltzer AG, Scientific Publishing Company 1989

Authors and Affiliations

  • Itzhak Gilboa
    • 1
  1. 1.J.L. Kellogg Graduate School of ManagementNorthwestern UniversityEvanstonUSA

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