The Author considera a decision-making environment with an outcome space that is a convex and compact subset of a vector space belonging to a general class of such spaces. Given this outcome space,he defines general classes of (a) risk averse von Neumann-Morgenstern utility functions defined...

Pratt (1964) and Yaari (1969) contain the classical results pertaining to the equivalence of various notions of comparative risk aversion of von Neumann- Morgenstern utilities in the setting with real-valued outcomes. They have obtained analogues of the classical results in the setting with...