We investigate risk averse agents who manage risk by trading financial securities in a market that we call a risk … market. We assume this market is perfectly competitive and complete. When risk aversion is expressed using risk measures, the … probability distributions defines a novel template for equilibria under uncertainty and, more specifically, equilibria under risk …

This paper presents a new axiomatic characterization of risk measures that are additive for independent random … variables. In contrast to previous work, we include an axiom that guarantees monotonicity of the risk measure. Furthermore, the …. The risk measure characterized can be regarded as a mixed exponential premium. …

We compare seven established risk elicitation methods and investigate how they robustly explain eleven kinds of risky … behavior with 760 individuals. Risk measures are positively correlated; however, their performance in explaining behavior is … heterogeneous and, therefore, difficult to assess ex ante. To close this knowledge gap, greater diversification across risk measures …

We analyze spectral risk measures with respect to comparative risk aversion following Arrow (1965) and Pratt (1964) on … widely-applied spectral Arrow-Pratt-measure is not a consistent measure of Arrow-Pratt-risk aversion. A decision maker with a … decision maker with a smaller spectral Arrow-Pratt-measure. We further show how a proper measure of Arrow-Pratt-risk aversion …

riskiness to continuous random variables. For many continuous random variables, the risk measure is equal to the worst-case risk … measure, i.e. the maximal possible loss incurred by that gamble. We also extend the Foster-Hart risk measure to dynamic …

Considerable literature has been devoted to developing statistical inferential results for risk measures, especially … a number of risk measures that are of the form of ratios, or even more complex combinations, of two L-functionals. In … the present paper we call such combinations ‘coupled risk measures' and develop a statistical inferential theory for them …

single intuitive number, defined here as the “crash volatility”, to characterize the true left-tail risk as an alternative to … optimizer to finally “see” the risk effect of the non-Gaussian distribution. An example using Amaranth's returns before it lost … -71% in September, 2006 illustrates how these new techniques caught a much higher level of risk lurking in the data …