Facultatea de Matematică şi Informatică / Faculty of Methematics and Informatics

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    PARETO-NASH-STACKELBERG GAME AND CONTROL THEORY
    (Springer,Sham, 2018) Ungureanu, Valeriu
    This book presents a comprehensive new, multi-objective and integrative view on traditional game and control theories. Consisting of 15 chapters, it is divided into three parts covering noncooperative games; mixtures of simultaneous and sequential multi-objective games; and multi-agent control of Pareto-Nash-Stackelberg-type games respectively. Can multicriteria optimization, game theory and optimal control be integrated into a unique theory? Are there mathematical models and solution concepts that could constitute the basis of a new paradigm? Is there a common approach and method to solve emerging problems? The book addresses these and other related questions and problems to create the foundation for the Pareto-Nash-Stackelberg Game and Control Theory. It considers a series of simultaneous/Nash and sequential/Stackelberg games, single-criterion and multicriteria/Pareto games, combining Nash and Stackelberg game concepts and Pareto optimization, as well as a range of notions related to system control. In addition, it considers the problems of finding and representing the entire set of solutions. Intended for researches, professors, specialists, and students in the areas of game theory, operational research, applied mathematics, economics, computer science and engineering, it also serves as a textbook for various courses in these fields.
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    UN ALGORITM PARALEL DE SOLUȚIONARE A JOCURILOR BIMATRICEALE FOLOSIND SISTEMUL MATEMATICA
    (CEP USM, 2020) Hâncu, Boris; Antohi, Ionel
    În articol se face o analiză a posibilităților si stemului de calcul simbolic Matematica pentru elaborarea programelor paralele pe sistemul de calcul paralel de tip DMM (clastere). Este elaborat un algoritm paralel pentru determinarea situațiilor Nash de echilibru în strategii pure pentru jocurile bimatriceale. Pentru acest algoritm sunt elaborate programe paralele utilizând sistemul Matematica și modele de programare MPI, în care se realizează diferite modalități de distribuire a calculelor pe nuclee și diferite modalități de paralelizare la nivel de date. Se realizează o analiză comparativă a timpului de calcul pentru programele elaborate.