We define decreasing higher-degree Ross risk aversion and provide an intuitive interpretation for it. We show that all deteriorations of background risk in the sense of n-th risk increase raise risk aversion in the Arrow–Pratt sense if and only if decreasing (n+1)-th degree Ross risk aversion...

This paper studies comparative risk aversion between risk averse agents in the presence of a background risk. Our contribution differs from most of the literature in two respects. First, background risk does not need to be additive or multiplicative. Second, the two risks are not necessarily...

This paper considers Nash implementation and double implementation of Pareto efficient allocations for production economies. We allow production sets and preferences are unknown to the planner. We present a well-behaved mechanism that fully implements Pareto efficient allocations in Nash...