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Lattices and Lotteries in Apportioning Risk

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  • Harris Schlesinger

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 behavioral approach to defining such risk attitudes was developed by Eeckhoudt and Schlesinger (2006), based upon simple lottery preference. This article show how the mathematics of lattice theory can be used to model these lottery preferences. In addition to modeling 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, 2014. "Lattices and Lotteries in Apportioning Risk," CESifo Working Paper Series 5067, CESifo.
    • Handle: RePEc:ces:ceswps:_5067
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    File URL: https://www.cesifo.org/DocDL/cesifo1_wp5067.pdf
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    References listed on IDEAS

    as
    1. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
    2. Eeckhoudt, Louis & Schlesinger, Harris & Tsetlin, Ilia, 2009. "Apportioning of risks via stochastic dominance," Journal of Economic Theory, Elsevier, vol. 144(3), pages 994-1003, May.
    3. Sebastian Ebert, 2013. "Even (Mixed) Risk Lovers Are Prudent: Comment," American Economic Review, American Economic Association, vol. 103(4), pages 1536-1537, June.
    4. Jokung, Octave, 2011. "Risk apportionment via bivariate stochastic dominance," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 448-452.
    5. Louis Eeckhoudt, 2012. "Beyond Risk Aversion: Why, How and What's Next?*," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 37(2), pages 141-155, September.
    6. David Crainich & Louis Eeckhoudt & Alain Trannoy, 2013. "Even (Mixed) Risk Lovers Are Prudent," American Economic Review, American Economic Association, vol. 103(4), pages 1529-1535, June.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    risk apportionment; mixed risk aversion; mixed risk loving; lattice theory; submodular function;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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