Geodesic
Dynamic processes in the economics of multilateral network platforms
Čebyševskij sbornik, Tome 22 (2021) no. 4, pp. 153-167.

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Recently, we have seen the emergence of digital and network platforms in the economic markets more and more often. For example, the taxi market in Moscow has transformed from a classical provision of material services — a passenger transportation service — into a market for the provision of information services, where the main players — digital platforms (Yandex taxi, Uber) provide information services to introduce the client-passenger to the supplier-driver. In this regard, it seems natural to consider the reasons why some firms win the market struggle in the new economic environment, while others lose it. The research is based on Frank Bass's informational approach, which assumes that the distribution of information about a new product among consumers has the main influence on the distribution of market shares (in our case, the consumer environment will be modeled using a network). After setting out the basic principles of the Bass model, the model expands significantly, which allows us to describe the interaction of several firms competing within the same market for an undifferentiated information product. It is necessary to find out exactly how the specific parameters of the models affect the final stable equilibrium position, how firms can and should influence this parameter in order to win the struggle for market power. The study involves the construction of general theoretical conclusions, based on which, in the future, it will be possible to move on to the practical part of the study. The work uses the mathematical apparatus from the elementary theory of differential equations, the theory of catastrophes, the theory of populations. Before we begin, let us intrigue the reader with the following thought: the market struggle of producers in a limited consumer market can be seen as a competition between two different types of predators for a limited population of prey.
Keywords: information diffusion in networks, platform networks, Bass model. 
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A. Ya. Kanel-Belov; M. O. Komatovskiy; S. A. Tishchenko. Dynamic processes in the economics of multilateral network platforms. Čebyševskij sbornik, Tome 22 (2021) no. 4, pp. 153-167. http://geodesic.mathdoc.fr/item/CHEB_2021_22_4_a6/

[1] Volterra V., “Matematicheskaya teoriya borby za suschestvovanie”, Uspekhi Fizicheskikh Nauk, 8 (1928), 13–34 | DOI

[2] Kolmogorov A.N., “Kachestvennoe izuchenie matematicheskikh modelei populyatsii”, Problemy kibernetiki, 25, Nauka, M., 1972, 101–106

[3] Arnold V. I., Catastrophe Theory, 3rd ed., Springer-Verlag, Berlin, 1992 | MR | Zbl

[4] F. M. Bass, “A New Product Growth for Model Consumer Durables”, Management Science, Theory Series, 15:5 (1969), 215–227 | Zbl

[5] Griliches Z., “Hybrid Corn: An Exploration in the Economics of Technological Change”, Econometrica, 25:4 (1957), 501–522 | DOI

[6] Satoh D., “A Discrete Bass Model and Its Parameter Estimation”, Journal of the Operations Research Society of Japan, 44:1 (2001) | DOI | MR | Zbl

[7] M.L. Vidale, H.B. Wolfe, “An Operations Research Study of Sales Response to Advertising”, Operations Research, 1957, no. 5, 370–381 | DOI | MR | Zbl