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Lattices and Lotteries in Apportioning Risk*

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  • Harris Schlesinger

    (Department of Economics and Finance, 200 Alston Hall, University of Alabama, Tuscaloosa, AL 35487, U.S.A.)

Abstract

Although risk aversion has been used in economic models for over 275 years, the past few decades have shown how higher order risk attitudes are also quite important. A behavioural approach to defining such risk attitudes was developed by Eeckhoudt and Schlesinger, based on simple lottery preference. This article shows how the mathematics of lattice theory can be used to model these lottery preferences. In addition to modelling a simple lattice structure, I show how such lattices can be extended in order to develop a better understanding of higher order risk attitudes.

Suggested Citation

  • Harris Schlesinger, 2015. "Lattices and Lotteries in Apportioning Risk*," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 40(1), pages 1-14, March.
    • Handle: RePEc:pal:genrir:v:40:y:2015:i:1:p:1-14
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    Cited by:

    1. Crainich, David & Eeckhoudt, Louis & Courtois, Olivier Le, 2020. "Intensity of preferences for bivariate risk apportionment," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 153-160.

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