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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2022 Volume 34, Number 2, Pages 71–84 (Mi mm4355)

Selection of information resource sales prices as an optimal management problem

O. S. Elistratova, A. M. Tsirlin

Program System Institute, Russian Academy of Science

Abstract: The paper shows that the model of interaction between the seller and the market, based on the properties of macrosystems, has advantages over diffusion models in problems of choosing optimal prices. The problems of choosing the selling prices of information resources are considered and solved taking into account the saturation of the market, the dependence of the sales price corresponding to the maximum income of the manufacturer for the monopoly and competitive markets is found, the conditions for the stability of the monopoly collusion and the duration of sales corresponding to the maximum of the average profit are obtained.

Keywords: welfare function, diffusion of innovation, demand function, income maximization, price selection, payback condition, resource estimates, competitive market, monopoly market.

Received: 19.04.2021
Revised: 31.05.2021
Accepted: 06.12.2021

DOI: 10.20948/mm-2022-02-06


 English version:
Mathematical Models and Computer Simulations, 2022, 14:5, 736–744

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© Steklov Math. Inst. of RAS, 2024