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Linear Operators and Stochastic Dominance

  • Erio Castagnoli
Part of the Applied Optimization book series (APOP, volume 13)

Abstract

This paper aims to show how various types of stochastic dominance, both in the vector space of Bord signed measures and in its subset of distribution functions of random variables, may be described through linear operators. This allows to obtain in a very natural way (old and new) characterizations of linear functionals preserving stochastic dominance: such functionals are the familiar expected utilities.

Keywords

Linear Operator Convex Subset Dominance Relation Linear Functional Dual Pair 
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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References

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    Castagnoli, E. and Li Calzi, M.: 1995, “ ‘Direct’ and ’Indirect’ Duality for Dominance Relations”, in E. Castagnoli and G. Giorgi (eds.), Scalar and Vector Optimization in Economic and Financial Problems, Egea, Milano, 65–84.Google Scholar
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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • Erio Castagnoli
    • 1
  1. 1.Bocconi UniversityMilanoItaly

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