1. We’ll follow the notation of [3]. Assume that n seats have already been assigned, and that each elector of type k is represented in the amount rk. We consider allocating a new seat to candidate (or party) i and distributing it between the electors that approved i. Let xk be the amount of this new seat that is given to each elector of type k (we are omitting the reference to i). The xk are su...