2. Articole
Permanent URI for this collectionhttps://msuir.usm.md/handle/123456789/17
Browse
11 results
Search Results
Item MULŢIMI DE ECHILIBRE STACKELBERG ÎN JOCURILE DIADICE ÎN STRATEGII MIXTE(CEP USM, 2010) Lozan, Victoria; Ungureanu, ValeriuWe consider the problem of determining the set of Stackelberg equilibria for dyadic games in mixed strategies. We propose an algorithm for determining the Stackelberg equilibria in dyadic games.The main results are formulated and explained. A procedure for the equilibrium set determining is presented. It is applied to solve illustration examples.Item PRINCIPII DE ECHILIBRU PARETO-NASH-STACKELBERG(CEP USM, 2010) Lozan, Victoria; Ungureanu, ValeriuWe consider the problem of determining the set of Pareto-Nash-Stackelberg equilibria in strategic games. The main results are formulated and explained. A procedure for the equilibrium set determining is presented. It is applied to solve illustration examples, especially for solving the problem of finding Pareto-Nash-Stackelberg equilibria of four player bi-criteria games through constructing the intersection of the graphs of efficient respond applications.Item PRINCIPII DE ECHILIBRU PARETO-NASH(CEP USM, 2009) Lozan, Victoria; Ungureanu, ValeriuWe consider the problem of determining the set of Pareto-Nash equilibriums in strategic games. The main results and method for solving the problem are explained. They are applied to solve the problem of finding Pareto-Nash equilibriums of two player bi-criteria games through constructing the intersection of the graphs of efficient respond applications. Illustration examples are presented.Item ASELENIZAREA UNEI NAVE COSMICE(CEP USM, 2009) Brega, Alexandru; Ungureanu, ValeriuIt is considered the problem of the spaceship descending on the Moon (cosmic body without atmosphere) with spending a minimum amount of the fuel. The mathematical model represents an optimal control problem. It’s solved by application of the Lagrange principle and the maximum principle of Pontreaghin. The investigation of the problem with Lagrange method it is difficult because it needs application of numerical methods with a high precision and knowledge in several fields of mathematics and physics, also. However we obtain numerical results that illustrates the possibility for the cosmic ship to descend, respecting the proposed beginning requirements (the initial mass of fuel, height, velocity, etc.). It is presented the program for lunar descending simulation process in Mathematica 7.0. The formulas and numerical results, obtained during the theoretical analysis of the problem, are program fundamentals.Item FINDING THE SET OF ALL NASH EQUILIBRIA OF A POLYMATRIX MIXED-STRATEGY GAME(CEP USM, 2017) Ungureanu, ValeriuThe method of intersection of best response mapping graphs is applied to determine the Nash equilibrium set of a finite mixedstrategy game. Results of a Wolfram language implementation of the method are presented. Appeared issues are highlighted, too.Item APPLYING SEQUENTIAL AND PARALLEL PROGRAMMING TO SOLVE ANON-LINEAR TRANSPORTATION PROBLEM(UTM, 2017) Pașa, Tatiana; Ungureanu, ValeriuSome aspects related to the structure of anon-linear network transport ation problem are investigated. An improve ment of an algorithm proposed earlier is provided by the means of sequential and parallel programming and by using several initial admissible solutions.An analysis of different ways of the algorithm implementation in the Wolfram Language is done. O btained testing results on problems with different dimensions and complexities are presented.Item WOLFRAM MATHEMATICA AS AN ENVIRONMENT FOR SOLVING CONCAVE NETWORK TRANSPORTATION PROBLEMS(CEP USM, 2017) Pașa, Tatiana; Ungureanu, ValeriuIn this work, we consider a transportation problem on a network with concave cost functions and constrained flows on arcs and expose an approach to its solving via Wolfram language algorithm implementation in Wolfram Mathematica System. Our original results are compared with results obtained by applying built-in Wolfram Language functions on a family of test problems .Item ASUPRA METODEI POTENȚIALELOR PENTRU PROBLEMA DE TRANSPORT DEGENERATĂ(CEP USM, 2017) Paşa, Tatiana; Ungureanu, ValeriuÎn lucrare este studiată problema de transport și sunt prezentate câteva observații ce țin de unele cazuri sau situații particulare ce pot apărea în procesul de soluționare a problemei de transport prin metoda potențialelor. Este expusă o modalitate de îmbunătățire a metodei pentru cazul problemei de transport degenerate.Item OPTIMAL AND STACKELBERG CONTROLS OF LINEAR DISCRETE PROCESSES INFLUENCED BY ECHOES(Valines SRL, 2014) Ungureanu, Valeriu; Deveatîi, DumitruWe develop mathematical models of Stackelberg control for linear discrete-time processes influenced by echoes as the development of Stackelberg control models and principles|particular models and principles of the more general mathematical models of Pareto-Nash-Stackelberg control introduced by V. Ungureanu in [10]. Application of a straightforward method to solve investigated problems along with the Pontryagin's principle produces important theoretical and practical results. Software benchmarks confirm and illustrate value of the results.Item NASH EQUILIBRIUM SET FUNCTION IN DYADIC MIXED-STRATEGY GAMES(Institutul de Matematică şi Informatică al AŞM, 2017) Ungureanu, ValeriuDyadic two-person mixed strategy games form the case for which Nash equilibrium sets can be determined simply. In this paper the set of Nash equilibria in a particular game is determined as an intersection of graphs of optimal reaction mappingsof the first and the second players. In contrast to other games, it is obtained not only an algorithm, but a multi-valued Nash equilibrium set function that gives directly as its values the Nash equilibrium sets corresponding to the values of payoff matrix in- stances. To give an expedient form to such a function definition, it is used a code written in the Wolfram language. Additionally, it is also applied a Wolfram language code to prove the main theoretic result.