The properties of risk measures or insurance premium principles have been extensively studied in actuarial literature. We propose an axiomatic description of a particular class of coherent risk measures defined in Artzner, Delbaen, Eber, and Heath (1999). The considered risk measures are...

In this note we consider a multicriteria decision problem where the decision maker know the the state of the world but the set of consequences is multidimensional. We suppose that a value function is specified over the attribute of the decision problem and we analyze some classes of non additive...

This paper defines temporal risk aversion in the context of a simple choice framework: that of time varying utility of wealth. The attention is focused on a decision maker who acts as a buyer: temporal risk premium, instantaneous risk premium and time preference premium are defined.

In this paper we consider the problem of determining approximations for distortion risk measures of sums of non-independent random variables. First, we give an overview of the recent actuarial literature on distortion risk measures and convex bounds for sums of random variables. Then, we examine...

In the contest of environmental management, the problem of minimizing the expected cost due to random checking processes and a possible failure is here addressed. Non-homogeneous Poisson checking processes with continuous non-decreasing intensity are considered, leading to the explicit detection...