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The problem of the development of the state information stimulation system of Russian citizens' socio-optimal actions is considered according to the optimum of collective utility function as criterion. Conceptual model of the system is formed according to the conditions of individual rationality, Pareto efficiency, nonmanipulability and dynamic quasi-optimality. The algorithms of the information system are developed such as a process of step-by-step approximations. The system's criterion on each approximation does not decrease and the constraint on the stimulation fund is fulfilled.

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Abstract. The authors consider the problems in production resources optimization planning by production cycle criteria inside the business process of industrial companies working in the interim manufacturing sectors. The authors have worked-out the models of static and dynamic order optimization for the company production resources in view of pricing and process restrictions. We have also developed the production cycle mechanism optimization to be used in simulating the optimum programs for the companies that work in Russian bearing industry. Keywords: optimization model, optimum planning mechanism, production cycle, static model, dynamic model, net cost.Citation: Geraskin MI, Egorova VV. The algorithm for dynamic optimization of the production cycle when custom planning in industry.

The problem of the development of the state information stimulation system of Russian citizens' socio-optimal actions is considered according to the optimum of collective utility function as criterion. The algorithm of the information system is formed taking into account the conditions of individual rationality, Pareto efficiency and non-manipulability. The algorithm for analyzing the effect of various functions of the probability distribution density of the altruism degree of Russian citizens on the effectiveness of the system for stimulating socially-optimal actions is developed. The simulation of social groups behavior, covering more than ten percent of Russia's economically active population, is confirmed the stability of the stimulation system for citizens' opportunistic behavior.

Purpose This paper aims to consider the problem of determining the equilibriums on oligopoly market in case of Stackelberg leader (leaders) and reflexive behavior of market agents. Design/methodology/approach This paper includes economic and mathematical modeling, optimization methods and game theory. Findings This paper explains models of reflexive games on oligopoly market, taking into account the diversity of agents’ reasoning about strategies of environing and equilibrium mechanisms for coincidence or opposition of agents’ reflexive reasoning on the same rank of reflection. Research limitations/implications This paper considers the oligopoly market with linear function of demand and costs of agents, the rational behavior of agents and the reflexive reasoning on the same rank of reflection. The set of agents’ reasoning about the environing strategies is considered as a set of market states for which the problem of agent’s optimal action choosing solves with the complete awareness. Practical implications Identification of reflexive behavior of environing allows agents to increase their market shares and profit. Social implications Oligopoly markets play a leading role in the world oil trade and reflexive behavior affects the market equilibrium. Originality/value In the paper, the mechanisms of equilibrium in reflexive games on the linear duopoly market for arbitrary rank reflection are developed.