Abstract
The article is devoted to small entrepreneurship in the scientific and technical sphere, despite the recognition of its right to state support, it has a significant difference from scientific and technical and the so-called earlier implementation activities characteristic of the period preceding economic reforms. A significant place in the article is given to the development of mathematical modeling in the system of innovative entrepreneurship in modern crisis conditions. Adaptability and flexibility are considered as the most important indicators of the efficiency of structures, their ability to ensure sustainable operation and effective innovative development of small businesses. The issues of scientific, technical and innovative activities in small business and in the public sector of the economy on the conjugation of adaptability and flexibility are considered. A number of modern techniques related to the development of mathematical modeling of the development of small enterprises in innovative activities in a crisis are analyzed. The necessity of mathematical modeling as the main factor in the implementation of financial support for small business in innovation, for which conventional methods are unacceptable, has been substantiated. The proposed approach should be considered as a guideline when assessing the mechanism for allocating funds from the budget for the development of small business in innovation.
Highlights
Small organizations and small caps are more mobile, with a strong focus on innovation and customer orientation and are willing to take risks
The specificity of implementation activities implies a lot of labor-intensive manual operations, suspension of production facilities, underemployment of staff, combination of highly skilled and unskilled labor, i.e. what small firms are more suited to (Tikhonov, 2019)
Mobility and flexibility of the transition to innovations, small management staff, simple organizational ties, high qualification of staff, maximum concentration on solving the task, high sensitivity to fundamental innovations, use of disadvantageous areas of production for large enterprises and taking into account local conditions constitutes the advantages of small business before large one and allows often overtaking more powerful competitors in scientific and technical competition
Summary
Small organizations and small caps are more mobile, with a strong focus on innovation and customer orientation and are willing to take risks. Mobility and flexibility of the transition to innovations, small management staff, simple organizational ties, high qualification of staff, maximum concentration on solving the task, high sensitivity to fundamental innovations, use of disadvantageous areas of production for large enterprises and taking into account local conditions constitutes the advantages of small business before large one and allows often overtaking more powerful competitors in scientific and technical competition. Small business frees large enterprises from producing small-scale and unique products. They act as pioneers of market niches, which are filled by large corporations, reduce the risk of scientific and technical research and production of a new product (Tslaf, 2012; Amorós et al, 2019)
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