We study a new type of representation problem for optional processes with connections to singular control, optimal stopping and dynamic allocation problems. As an application, we show how to solve a variant of Skorohod's obstacle problem in the context of backward stochastic differential...

We introduce and analyse numerical methods for the treatment of inverse problems, based on an adaptive wavelet Galerkin discretization. These methods combine the theoretical advantages of the wavelet-vaguelette decomposition (WVD) in terms of optimally adapting to the unknown smoothness of the...

In this paper, we abandon the stylized median voter and study (i) how distributional tensions can act in many different ways depending on social affinity and on the prospect of upward or downwardmobility of the different income classes, (ii) income distribution dynamics, intergenerational...