https://popups.uliege.be/3041-539x/index.php?id=2955 Publications of Auteurs Dmitrii Lozovanu fr 0 https://popups.uliege.be/3041-539x/index.php?id=4641 A class of stochastic antagonistic positional games for Markov decision processes with average and expected total discounted costs optimization criteria are formu lated and studied. Saddle point conditions in the considered class of games that extend saddle point conditions for deterministic parity games are derived. Further more algorithms for determining the optimal stationary strategies of the players are proposed and grounded Mon, 14 Oct 2024 15:41:10 +0200 Thu, 17 Oct 2024 11:57:01 +0200 https://popups.uliege.be/3041-539x/index.php?id=4641 https://popups.uliege.be/3041-539x/index.php?id=3192 A characterization of a simple Markov process based on a random graph theoretic structure is introduced. We propose a polynomial time algorithm for the calculation of a limit state matrix. The algorithm is based on two procedures which will be derived in this contribution. They exploit a distinguished decomposition principle of the underlying graph theoretic structure and the special property of an acyclic directed graph. Wed, 11 Sep 2024 17:01:24 +0200 Wed, 11 Sep 2024 17:01:55 +0200 https://popups.uliege.be/3041-539x/index.php?id=3192 https://popups.uliege.be/3041-539x/index.php?id=2950 Discrete multiobjective control problems with varying time of states transactions of dynamical system are formulated and studied. Nash equilibrium conditions for the considered problems are given and algorithms based on dynamic programming for determining optimal solutions in the sense of Nash and Pareto are proposed and proved. We exploit a certain (so-called) intelligent network structure to underline a constructive approach Tue, 03 Sep 2024 15:57:55 +0200 Tue, 03 Sep 2024 15:58:06 +0200 https://popups.uliege.be/3041-539x/index.php?id=2950