Advanced methods of theory of optimal guaranteeing control and techniques of generalized (viscosity, minimax) solutions of Hamilton-Jacobi equations are applied to nonzero game interaction between two large groups (coalitions) of agents (participants) arising in economic and biological...

An updated Protocol on emissions of nitrogen oxides, under the UN/ECE Convention on Long-range Transboundary Air Pollution, is now at a preparatory stage. An effect-based approach is to be applied to the environmental problems to which nitrogen oxides contribute, either singly or in combination...

Grid approximation schemes for constructing value functions and optimal feedbacks in problems of guaranteed control are proposed via a theory of generalized (minimax, viscosity) solutions of Hamilton-Jacobi equations. Value functions in optimal control problems are usually nondifferentiable and...

A dynamic model of investment process for a technology innovator in a market environment is designed. The "light" dynamics of the active innovator is described by the system of exponential trajectories in which one can quickly change growth parameters. It is assumed that the innovator operates...

The nonlinear model of economic growth involving production, technology stock and their rates is considered. Two trends - growth and decline, in interaction between production and R&D investment are examined in the balance dynamics. The optimal control problem of R&D investment is studied for...

The paper presents a dynamic model of trading on market of patents. It is assumed that each firm participating in market produces its own technologies, whereas its manufacturing sector utilizes both originally produced technologies and those produced in other firms. The firms are therefore...

Growth - the change in number or size - and adaptation - the change in quality or structure - are key attributes of global processes in natural communities, society and economics (see, e.g. Hofbauer and Sigmund, 1988; Freedman, 1991; Young, 1993). In this paper we describe a model with explicit...

An aggregation technique for constraints with values in Hilbert spaces is suggested. The technique allows to replace the original optimization problem by a sequence of subproblems having scalar or finite-dimensional constraints. Application to optimal control, games and stochastic programming...