Control Problems on Networks -- Stochastic Games and Positional Games on Networks. …-objective discrete control problems and hierarchical control problems on networks. Given its scope, the book will benefit all researchers … and graduate students who are interested in Markov theory, control theory, optimization and games. …

finite-fuel two-dimensional degenerate singular stochastic control problem over an infinite time-horizon. We provide explicit … expressions both for the value function and for the optimal control. We show that the latter prescribes a Skorokhod reflection of … techniques are those of stochastic calculus and stochastic optimal control theory. …

to zero, for both products. The problem is formulated as an optimal stochastic control. The optimal policy is obtained …

Strategies for constructing a Markov decision chain approximating a continuous-time finite-horizon optimal control …