We discuss inference for additive models with random scaling factors. The additive effects are of the form (1+g)f(z) where f is a nonlinear function of the continuous covariate z modeled by P(enalized)-splines and 1+g is a random scaling factor. Additionally, monotonicity constraints on the...

Implementability conditions in Rochet (1987) are extended to utility functions not necessarily quasilinear in the transfer, or linear in the type, for the case where agents’ information is one-dimensional but actions become multidimensional. The results obtained are relevant for the...