Economic Consequences of Nth-Degree Risk Increases and Nth-Degree Risk

We study comparative statics of Nth-degree risk increases within a large class of problems that involve bidimensional payo¤s and additive or multiplicative risks. We establish necessary and su ¢ cient conditions for unambiguous impact of Nth-degree risk increases on optimal decision making. We develop a simple and intuitive approach to interpret these conditions: novel notions of directional Nth-degree risk aversion that are characterized via preferences over lotteries