The proposed approach to the insurance of regionally distributed property against risk catastrophes is based on finding statistically robust coverages of the insurance companies. Such coverages guarantee that all companies survive no matter what scenario of the catastrophe from a given scenarios...

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...

Our basic model is a noncooperative multi-player game in which the governments of neighboring counties trade emission reductions. We prove the existence of a market equilibrium (combining properties of Pareto and Nash equilibria) and study algorithms of searching a market equilibrium. The...

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...

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...

Consider two populations of agents who learn to play a game through. repetition. In fictitious play, each agent chooses a best replay to the frequency distribution of actions taken by the other side. A natural variant of this model is to assume that agents are heterogeneous in their information...

The paper introduces a local cooperation pattern for repeated bimatrix games: the players choose a mutually acceptable strategy pair in the next round. A mutually acceptable strategy pair provides each player with a payoff no smaller than that expected, in average, at a historical distribution...

Recently we analyzed important classes of nonsmooth and nonconvex risk control problems which can not be solved by standard optimization techniques. The aim of this article is to develop computational procedures enabling us to bypass some of the obstacles identified in this paper. We illustrate...