Strong one-switch utility

The linear plus exponential utility function has received increasing attent ion of late as a particularly attractive family for evaluating additive gam bles;for wealth. In,addition to its ability to reflect increasing appreciat ion for money, risk aversion, and decreasing risk. aversion, it is consiste nt with a risk-return representation in-which return is measured by expecte d value. In this paper we present a new condition, strong one-switch, that characterizes the Linear plus exponential family.