This note gives a simple, but useful characterization of optimism and pessimism represented by a convex and concave shift of probability weighting functions, and applies it to two comparative static analysis.

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.

This note gives a simple, but useful characterization of optimism and pessimism represented by a convex and concave shift of probability weighting functions, and applies it to two comparative static analysis.