Model Of The Optimal Distribution Of State Support For An Innovative Project


Current legal regulations and business practices in the Russian Federation show a constant change in the requirements for forms of state support for investment projects. As a result, participants in the implementation of projects, both commercial organizations and public authorities, face the problem of coordinating private and public interests. A feature of the current stage of innovative development is the fact that the creation and production of high-tech products are carried out by a combination of innovative enterprises and organizations that are participants in one or more innovative projects. In these circumstances, it becomes necessary to make a decision on the effective distribution of state support among the participants of an innovation project. The study presents a model for making such a decision based on the dynamic programming method. In it, the authors have taken into account the conditions that ensure a balance of interests of enterprises and public authorities, which together act as participants in network interaction in the implementation of an investment project. The result obtained in solving this task will have a significant impact on the dynamics and efficiency of innovative development, both of the enterprises themselves and their regions of location. This will ultimately have a positive impact on the standard of living in the region and increase its investment attractiveness.

Keywords: Dynamic programming, innovative project, state support


Programs of state support for business, including those aimed at the production of high-tech products, currently implemented, contain a significant number of forms and ways to stimulate innovation.

Based on the conclusions obtained as a result of previous studies (Erygin & Sahakyan, 2012), it is safe to say that the choice of forms of stimulating innovative activity of a commercial organization is formed on the basis of the results of solving the following tasks:

  • Defining the class of incentive forms.
  • The size distribution of the stimulus at budget levels.
  • Determining the optimal ratio of the volume of innovation incentives provided on a returnable and non-returnable basis, depending on the capital structure and stage of the innovation process.
  • The choice of forms of stimulating innovation.

Based on the opinion of leading economists and practitioners of innovation management (Krotkova et al., 2016; Khairullina, 2012; Qian & Olsen, 2020; Urumov, 2017), the authors believe that the main criteria necessary for evaluating the effectiveness of state support are the following:

  • Target criteria.
  • External and environmental criteria.
  • scientific and technical criteria.
  • Commercial criteria.
  • Production criteria.
  • Market criteria.
  • Criteria of the investor.
  • Criteria for regional features of the project implementation.

The problem of determining the optimal ratio of the volume of innovation incentives provided on a non-refundable basis remains the least studied.

In the first method, the sources of financing are budget allocations, state subsidies, funds from extra-budgetary funds, investors' own funds, as well as funds raised by them (financing through the issue of shares).

The second method uses borrowed funds from financial and credit institutions, raising funds through the issuance of bond loans, and co-financing by individuals (krautinvesting), which is possible when implemented primarily on the basis of small innovative enterprises.

The most frequently raised questions include the choice of forms of stimulating innovation. The form of stimulating innovation activity is understood as the internal organization of its content, which is determined by the composition of the stimulating subjects.

The following criteria are used to select the forms that are provided on a non - refundable basis:

  • Target criteria and conditions for selecting projects to participate in the competition for a particular form of incentive.
  • Budget efficiency of the implemented incentives.

However, when selecting forms that are provided on a return basis, additional criteria must be introduced, such as:

  • The period for which the incentive form is provided.
  • The cost of resources provided as incentives.

At the same time, world experience shows that at the present stage of innovative development, the state is trying to find forms that ensure the return of state support initially provided on an irrevocable basis (Gershman, 2020).

Another task in providing comprehensive support for innovative projects is the need to take into account the network approach. When evaluating an innovation project in advance, all participants must understand whether they are satisfied with the planned financial result or not. Often, network participants, when implementing an innovative project, as a result, get different results for the invested efforts and capital, which does not meet their expectations. In this case, support should be provided in a comprehensive manner, taking into account the interests of all network participants.

Problem Statement

Unfortunately, the existing forms of incentives offered by the state do not give the proper effect in practice, since they do not fully take into account the need to implement a network approach when making a decision on providing state support for the implementation of an innovative project. This is due to the fact that in the production of high-tech products, there is a need to involve the innovative potential of both small and medium-sized and large innovative enterprises that form a complex cooperative network along with the objects of innovative infrastructure. Thus, there is another rather difficult task – the distribution of state support among the participants of the cooperative network implementing an innovative project. This should take into account the limited budget resources allocated for these purposes, as well as the need to avoid breaking cooperative ties while achieving budget efficiency of the state resources involved.

Research Questions

The choice of forms and methods of stimulating the production of high-tech products should ensure efficiency in the implementation of innovative projects for the production of high-tech products. As a result, you need to understand and evaluate the following parameters for network participants:

  • Commercial efficiency necessary for the implementation of business processes for the production of high-tech products.
  • A set of business processes for the production of high-tech products that are transferred to subjects of innovative activity at various levels, including objects of innovative infrastructure that have the necessary competencies for their more effective implementation.
  • Order portfolio of potential participants in the innovative process of manufacturing high-tech products.
  • Economic feasibility of current and investment costs for the implementation of business process portfolios.
  • The volume of investment in the development of innovative infrastructure.

Purpose of the Study

The purpose of this work is to determine the optimal distribution of a limited amount of state support for participants of an innovative project implemented in the form of network interaction.

Research Methods

The preliminary calculations used financial analysis methods related to the calculation of the budget efficiency of innovative projects. The method of dynamic programming is used as an optimization method.


For each of the n project participants,the budget effect( i = l , n ¯ ) is known, depending on the amount X of state support determined for it (table 1). It is necessary to distribute limited state support funds among project C participants so that the budget efficiency of their use is maximumFor convenience, we will break down the distribution process into steps. As the n-th step, we will take the provision of state support funds to project participants. C – reserve of funds not provided.Parameters of "step control"–means of state support provided by participants. The gain at step n is determined by the increase in the budget effectfrom the – th project participant, depending on the support tools (step control) provided to it.

To determine the optimal distribution of state support, we will use the recurrent ratio shown below (1):

fn(C) = max[gn(x)+fn-1(C-X)],(1)

where is the maximum value of the increase in the budget effect at the previous step (), when distributing the amount of state support between () participants,.

Table 01 shows the amount of budget revenues in the form of tax and non-tax payments from each of the participants, depending on the amount of state support provided to them (x).

Table 1 - Amount of budget revenues
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Further, the distribution of state support funds between project participants at each step is presented in tabular form (table 02-05).

Table 2 - Distribution of funds in the first step
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Table 3 - Distribution of funds in the second step
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Table 4 - Distribution of funds in the third step
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Table 5 - Distribution of funds in the fourth step
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The results of solving the proposed dynamic programming problem allow us to conclude that the maximum budget effect is achieved by providing the fourth and third participants with state support in the amount of 1500 and 6000 thousand c.u., respectively. At the same time, the condition related to ensuring the commercial efficiency of all project participants must be met. If this condition is not met, the implementation of the project carries the risk of bankruptcy of the relevant participants with the subsequent violation of cooperation and the inability to ensure the return on state support provided, as well as the occurrence of losses for all participants in the cooperative network.


The proposed model allows us to determine only the optimal amount of state support for each of the participants of the innovation project. At the same time, the form of such support is agreed with each of the project participants. In this situation, it is important to find an effective solution related to determining the conditions for providing support: on a refundable or non-refundable basis. This decision can be obtained by evaluating and comparing the actual and optimal capital structure of these participants. If there is insufficient equity, the decision is made in favor of forms provided on a non-refundable basis. Conversely, if there is an excess amount of equity, state support is provided on a returnable basis. At the same time, the capital structure, taking into account state support provided in the recommended forms, should be as close as possible to the optimal value.


  • Erygin, V. Yu. &Sahakyan, A. M. (2012). Forms of stimulation of innovative activity of the enterprises of space-rocket industry. Siberian j. of science and technology.

  • Gershman, D. (2020). Service infrastructure of innovative business in Israel. Engineering Sciences - resource collection.

  • Qian, X., & Olsen, T. L. (2020). Financial and risk management in agricultural cooperatives with application to the milk industry in new zealand. Int. J. of Production Research.

  • Khairullina, O. I. (2012). Methodology for evaluating the effectiveness of state support. News of OGAU.

  • Krotkova, E. V., Mullakhmetov, K. S., & Akhmetshin, E. M. (2016). State control over small business development: Approaches to the organization and problems (experience of the republic of tatarstan, the russian federation). Academy of Strategic Management J. 15(1), 8-14.

  • Urumov, T. R. (2017). Efficiency of state financial support for export activities of small and medium-sized enterprises. Actual problems of Economics and law, 1(1), 67-78.

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17 May 2021

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Eremeev, D. V., Erygin, Y. V., & Sineckaya, N. V. (2021). Model Of The Optimal Distribution Of State Support For An Innovative Project. In D. K. Bataev, S. A. Gapurov, A. D. Osmaev, V. K. Akaev, L. M. Idigova, M. R. Ovhadov, A. R. Salgiriev, & M. M. Betilmerzaeva (Eds.), Knowledge, Man and Civilization - ISCKMC 2020, vol 107. European Proceedings of Social and Behavioural Sciences (pp. 2044-2049). European Publisher.