Investment approach to mathematical modeling of digital transaction platforms

The article proposes a mathematical model that allows you to analyze the capabilities of a digital platform as a form of business organization, and which differs from analogs in calculating the payback of the platform as an investment project and an adequate description of network effects. The results obtained by the author in a computer experiment indicate that, under a favorable set of circumstances, the payback period of the platform can be achieved in a relatively short time, but this essentially depends on the speed of growth and the exhaustion of network effects.