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EN
The work presents results on development of the parametrical regulation theory for a class of discrete stochastic dynamic systems with additive noise. Within the framework of development of the parametrical regulation theory for discrete dynamic systems we formulated and proved the theorem about sufficient conditions for existence of solutions to the problems of variational calculus on synthesis of optimal laws of parametrical regulation and the theorem about sufficient conditions for continuous dependence of criterions' optimal values of the problem of the values of unregulated parameters. The discrete stochastic model, taken as an example, was obtained from one deterministic computable model of general equilibrium of economic sectors by adding additive noise to the right parts of dynamic equations of the model. The problem of parametrical identification of the deterministic variant of the model was preliminarily solved based on the statistical data for the Republic of Kazakhstan. For the stochastic and deterministic variants of the investigated model problems of optimal economic growth of national economy of the Republic of Kazakhstan were formulated and solved (applying the methods of parametrical regulation theory).
EN
The analysis of the solutions stability, as well as the analysis of models adequacy, is performed on the basis of the unified approach, which exploits the concept of the generalised solution of the active systems (organisational or socio-economic systems) control problem.
EN
The paper deals with the problems of resource allocation between several independent projects. The problem is to minimise the time of implementation of all the projects or the weighted sum of termination times. The approach described is based on the representation of a project as the separate operation. Then the problem of optimal resource allocation between the operations is solved. Given resource allocation for every project, one can solve the problem of allocation inside the multiproject. Allocation and aggregation methods are explored.
EN
The problem of collective decision making under incomplete information about the preferences of the agents is studied. Game-theoretical model, introduced below, embraces resource allocation problems in environments with private goods, planning procedures, etc. The problem of information misrepresentation is solved by applying the "geometrical" approach, which generalizes most of commonly used methods and consists in the analysis of the dictatorship sets. Sufficient conditions of truthtelling make it possible to guarantee nonmanipulability by modifying the sets of feasible messages.
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