Herdegen, Martin; Khan, Nazem - 2022
This paper studies mean-risk portfolio selection in a one-period financial market, where risk is quantified by a star …-shaped risk measure ρ. We introduce two new axioms: weak and strong sensitivity to large losses. We show that the first axiom is … leads to a new class of risk measures that are suitable for portfolio selection. We show that ρ belongs to this class if and …