Consider a decision problem under uncertainty for a decision maker with kno
wn (utility) payoffs over prizes. We say that an act is Choquet (Shafer, Be
rnoulli),rational if for some capacity (belief function, probability) over
the set of states, it maximizes her "expected" utility. We show that an act
may be Choquet rational without being Bernoulli rational, but it is Choque
t rational if and only if it is Shafer rational. Journal of Economic Litera
ture Classification Numbers: C72, D81.;(C) 2000 Academic Press.