If a utility function is such that

u^(')(w)>0

and

u^('')(w)>0

, show that

\\\\pi [x]

E[x]

. A decision maker with preferences consistent with

u^('')(w)>0

is a risk lover.

4. If a utility function is such that u(w)>0 and u(w)>0, show that [X] E[X]. A decision maker with preferences consistent with u(w)>0 is a risk lover. 4. If a utility function is such that u(w)>0 and u(w)>0, show that [X] E[X]. A decision maker with preferences consistent with u(w)>0 is a risk lover