The present paper extends to higher degrees the well-known separation theorem decomposing a shift in the increasing convex order into a combination of a shift in the usual stochastic order followed by another shift in the convex order. An application in decision making under risk is provided to...

The Arrow-Pratt (A-P) definitions of absolute and relative risk aversion dominate the discussion of risk aversion and defining “more risk averse”. Ross (Econometrica 49:621–663, <CitationRef CitationID="CR17">1981</CitationRef>) notes, however, that being A-P more risk averse is not sufficient for addressing many important...</citationref>

This paper defines the rate of substitution of one stochastic change to a random variable for another. It then focuses on the case where one of these changes is an nth degree risk increase, and the other is an mth degree risk increase, where nm⩾1. The paper shows that the rate of substitution...

This paper presents and implements a procedure which examines for empirical support for the location and scale condition. The Kolmogorov-Smirnov multisample test is used to determine if the distribution functions describing the nonsystematic risk component of rate of return for portfolios of...

If the elements of the choice set in a decision model involving randomness are not arbitrary, but restricted appropriately, an expected utility ordering of them can be represented by a mean standard deviation ranking function. These restrictions can apply to the form of, or can specify...

The demand for insurance against loss from a particular risky asset is likely to depend on other risks the decision-maker faces. For independently distributed other risks, referred to as background risk, Eeckhoudt and Kimball [1992] determine the effect on insurance demand of introducing...