The application and estimation of expected utility based decision models would benefit from having additional simple and flexible functional forms to represent risk preferences. The literature so far has provided these functional forms for the utility function itself. This work shows that...

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...

A recent paper by Hardaker et al. (The Australian Journal of Agricultural and Resource Economics, 48, 2004a, 253) and book by Hardaker et al. (Coping with Risk in Agriculture, 2004b) describe a procedure for determining an efficient set from among a set of random alternatives. This procedure,...

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...