Lattices and Lotteries in Apportioning Risk

Harris Schlesinger

No 5067, CESifo Working Paper Series from CESifo

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.

Keywords: risk apportionment; mixed risk aversion; mixed risk loving; lattice theory; submodular function (search for similar items in EconPapers)
JEL-codes: D81 (search for similar items in EconPapers)
Date: 2014
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