Browsing by Author "Lozovanu, Dmitrii"

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    THE OPTIMAL FLOW IN DYNAMIC NETWORKSWITH NONLINEAR COST FUNCTIONS ON EDGES
    (Institutul de Matematică şi Informatică al AŞM, 2004) Fonoberova, Maria; Lozovanu, Dmitrii
    In this paper we study the dynamic version of the nonlinear minimum- cost flow problem on networks. We consider the problem on dynamic networks with nonlinear cost functions on edges that depend on time and flow. Moreover, we assume that the demand function and capacities of edges also depend on time. To solve the problem we propose an algorithm, which is based on reducing the dynamic problem to the classical minimum-cost problem on a time-expanded network. We also study some generalization of the proposed problem.
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    Stationary Nash Equilibria for Stochastic Positional Games [Articol]
    (2024) Lozovanu, Dmitrii; Pickl, Stefan
    The problem of the existence and determining stationary Nash equilibria for stochastic positional games with discounted and average payoffs is considered. We show that, for a stochastic positional game with discounted payoffs, there exists a Nash equilibrium in pure stationary strategies and, for a stochastic positional game with average payoffs, there exists a Nash equilibrium in mixed stationary strategies. Some approaches for determining pure and mixed stationary equilibria in such games are proposed.