This paper addresses the location problem for an entering firm that will play a Bertrand game with other pre-existing firms in order to maximize its profit. Demand for a homogeneous product is price-sensitive and firms use delivered pricing. Under some specific conditions, it is shown that the...

In this paper we suggest a new efficient technique for solving integer knapsack problems. Our algorithms can be seen as application of Fast Fourier Transform to generating functions of integer polytopes. Using this approach, it is possible to count the number of boolean solutions of a single...

We explore reinforcement learning methods for finding the optimal policy in the linear quadratic regulator (LQR) problem. In particular we consider the convergence of policy gradient methods in the setting of known and unknown parameters. We are able to produce a global linear convergence...