In the mean–variance framework, insurance demand goes down when the expected size of insurable losses decreases or insurance premia increase if the elasticity of risk aversion with respect to expected wealth exceeds -1. In terms of the expected-utility approach, this condition is equivalent to...

In a mean variance framework, we analyse risk taking in the presence of a (possibly) dependent background risk, exemplified in a linear portfolio selection problem. We first characterise the comparative statics of changes in the distribution and dependence structure of the background risk. For...

An agent with two-parameter, mean-variance preferences is called variance vulnerable if an increase in the variance of an exogenous, independent background risk induces the agent to choose a lower level of risky activities. Variance vulnerability resembles the notion of risk vulnerability in the...

We analyse how the welfare state, i.e., social insurance that works through redistributive taxation, should respond to increases in risks and to increases in the cost of operating the welfare state. With respect to risks, we distinguish between risks that can be insured and such that cannot...

This note provides an alternative proof for the equivalence of decreasing absolute prudence (DAP) in the expected utility framework and in a two-parametric approach where utility is a function of the mean and the standard deviation. In addition, we elucidate that the equivalence of DAP and the...