This note gives a stochastic dominance representation of more optimistic belief in rank dependent expected utility. Applying this observation, we can demonstrate the effect of more optimistic belief on economic decisions and equilibria under risk making comparative static analysis.

We present a model of competitive interaction among n symmetric firms producing a homogeneous good that includes both Bertrand and Cournot competition as special cases. In our model the intensity of competition is captured by a single parameter—the perceived slope of competitors’ supply...