Time, utility, risk: size-of-risk attitude and distinct decision makers

In the context of time varying utility of wealth, this paper generalizes the proposed analysis of temporal risk aversion in the case of a Decision Maker who acts as a Buyer in order to study a different notion of risk aversion: the concept of size-of-risk aversion. Sufficient conditions ensuring existence and regularity of the definitions proposed in (Ferretti, 2008) are presented; temporal and instantaneous size-of-risk aversion definitions are given and a sufficient condition ensuring such a behavior is obtained.