Suppose that one observes a process Y on the unit interval, where dY(t) = n 1/ 2f(t)dt + dW(t) with an unknown function parameter f, given scale parameter n N 1 ("sample size") and standard Brownian motion W. We propose two classes of tests of qualitative nonparametric hypotheses about f such...

On a homogeneous oligopoly market informed sellers are fully aware of market demand whereas uninformed sellers only know the distribution. We first derive the market results when sellers are risk averse, similarly to Ponssard (1979) who assumed risk neutrality throughout. With the help of these...