Formation of a model for choosing the optimal Nash equilibrium investment project within the machine-building cluster

With the development of industry, industrial clusters have become widespread in many countries. An industrial cluster implies a set of subjects of activity in the field of industry, connected by relations in this area due to territorial proximity and functional dependence and located on the territory of one subject. Within the framework of the article, this mechanism of the inter-firm innovation network is understood as a typical gaming behavior when firms invest in their cluster partners. Taking into account the possibility that enterprises may be limited in resources, this article analyzes the coordination game using the Nash solution as a distribution rule between firms in a machine-building cluster. The article presents an extended inter-company game of n players based on non-idealized conditions describing 4 investment strategies. Analyzing the results of our research, it is proved that the greedy strategy is the most effective in most situations.