%0 Journal Article
%T Arr¨ºt optimal pour les processus de Markov forts et les fonctions affines
%A Diana Dorobantu
%J Mathematics
%D 2008
%I arXiv
%X In this Note we study optimal stopping problems for strong Markov processes and affine functions. We give a justification of the Snell envelope form using standard results of optimal stopping. We also justify the convexity of the value function, and without a priori restriction to a particular class of stopping times, we deduce that the smallest optimal stopping time is necessarily a hitting time.
%U http://arxiv.org/abs/0804.3496v1