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The Generating Process and an Extension of Jewitt's Location Independent Risk Concept

Michael Landsberger, Isaac Meilijson

Management Science · 1994 · Volume 40 · Issue 5

DOI: 10.1287/mnsc.40.5.662

Abstract

A generating process of Jewitt's location independent risk concept is derived in terms of left stretches based on single crossings between distributions. For concave nondecreasing utility functions this stochastic order preserves monotonicity between risk premium and the Arrow-Pratt measure of risk aversion. We show that a stronger order, the Bickel-Lehmann notion of dispersion, preserves this monotonicity for the larger class of nondecreasing utilities.

Keywords

location independent risk, Arrow-Pratt measure, Bickel-Lehmann dispersion, risk premium

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