, Ph. D., (Mathematics and Physics), Kharkiv, Peremohy, 55
, Ph. D., (Mathematics and Physics), Kharkiv, Peremohy, 55

In heading

Economic theory;

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Issues number

2019 - № 1 (36)



Type of articles

Scientific article

Code UDK


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Problem setting. At the present stage of development of the economy, the fundamental nature of the innovative influence on the functioning and development of any economic entity becomes apparent. To study such an impact, it is necessary to involve modern means of scientific research, but it is necessary to take into account two important features. First, innovations are always associated with an increased risk and significant volumes of investment resources. Secondly, the management of the innovation process can be carried out only on the basis of complete and reliable information.
Therefore, in order to make effective management decisions, taking into account such features of the innovation process, the most promising, in our opinion, is the possibility of economic and mathematical methods and models. And this, in turn, determines the relevance of conducting research on this topic.
Resent research and publications analysis. Theoretical and methodological approaches to the modeling of innovation processes were studied by I. Ansoff, R. Akoff, P. Drucker, and others. These topics are also considered in the works of Ukrainian scholarseconomists. However, it should be noted that the problem of applying economic and mathematical methods and models for the study of innovation activities of economic entities requires further scientific and methodological elaboration. A number of sources have quite successful attempts to analyze this issue, but there are almost no work that would
take into account the conditions of uncertainty and risk in the modeling of innovative behavior of business entities.
Paper objective is to substantiate the possibility and expediency of application of theoretical game models for the economic-mathematical modeling of innovative activity of subjects of management in conditions of uncertainty and risk.
Paper main body. The problem of controlling the innovative behavior of business entities in terms of uncertainty and risk can be solved using theoretical game models: a strategic matrix game with complete information, a statistical game in conditions of partial and complete uncertainty. But none of these models takes into account market competition and spatial-temporal structure of innovation, which leads to a significant formalization of the model and a decrease in its significance.
To construct an economics-mathematical model of innovative behavior of a business entity that combines logical and spatial aspects in conditions of uncertainty and risk, the model of cooperative game is the most promising one.
Particularly promising, in our opinion, may be the use of a model of cooperative games for solving two extremely important applied problems: the formation of a portfolio of innovations by business entities and cooperation of business entities in an innovative project with mixed financing.
Conclusions of the research. The proposed probabilistic-game approach to managing the innovation process of business entities has several advantages. It allows taking into account the uncertainty factor as determining in the modeling of innovation development. The mathematical apparatus of game theory gives an opportunity to quantify the result of such simulation, to investigate the effectiveness and priority of planned innovations, to form a full spectrum of possible scenarios of innovative development of business entities. Such an approach to managing the innovation process is not perfect, it has a number of significant shortcomings, but research in this area is a powerful theoretical and methodological tool for identifying potential innovative opportunities of an enterprise and taking into account such opportunities in the development of strategic decisions.
Short Abstract for the article
Abstract. The conceptual bases of economic-mathematical modeling of innovative activity of subjects of management are considered. The state of the problem is analyzed, possibilities of application of modern methods and models for optimization of innovation process are revealed. The advantages of the probabilistic-game approach to the definition of optimal innovative strategies of economic entities under conditions of uncertainty and risk are substantiated.


innovation, innovation process, innovation strategy, business entity, economic and mathematical modeling, game theory, uncertainty and risk conditions, optimal strategy.


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