  A well-known result of SGA4 shows how to compute the pseudo-colimit of a
category-valued pseudo-functor on a 1-category. The main result of this paper
gives a generalization of this computation by constructing the weighted
pseudo-colimit of a category-valued pseudo-functor on a 2-category. From this
is derived a computation of the weighed bicolimit of a category-valued
pseudo-functor.
