Risk and risk aversion are important concepts when modeling how to choose from or rank a set of random variables. This chapter reviews and summarizes the definitions and related findings concerning risk aversion and risk in both a mean-variance and an expected utility decision model context.

We develop and implement methods for determining whether relaxing sparsity constraints on portfolios improves the investment opportunity set for risk-averse investors. We formulate a new estimation procedure for sparse second-order stochastic spanning based on a greedy algorithm and Linear...

The present note provides an initial theoretical explanation of the way norm regularizations may provide a means of controlling the non-asymptotic probability of False Dominance classification for empirically optimal portfolios satisfying empirical Stochastic Dominance restrictions in an iid...