Bizyanov E.E., Podgornaya N.A. PRICE SETTING DYNAMICS MODELING ON THE ONE PRODUCT MARKET UNDER UNCERTAINTY

DOI: https://doi.org/10.15688/ek.jvolsu.2020.4.4

Yevgeny Ye. Bizyanov

Doctor of Sciences (Economics), Professor, Department of Specialized Computer Systems, Donbass State Technical Institute, Prosp. Lenina, 16, 94204 Alchevsk, Luhansk People’s Republic, This email address is being protected from spambots. You need JavaScript enabled to view it. , https://orcid.org/0000-0003-2841-3619

Nataliia A. Podgornaya

Candidate of Sciences (Engineering), Senior Lecturer, Department of Higher Mathematics, Donbass State Technical Institute, Prosp. Lenina, 16, 94204 Alchevsk, Luhansk People’s Republic, This email address is being protected from spambots. You need JavaScript enabled to view it. , https://orcid.org/0000-0002-2337-8108


Abstract.  This article discusses various options for studying the classic Evans model for assessing the dynamics of price setting for a new good in the conditions of uncertainty in the behavior of the market and the producer. The Evans model with fuzzy coefficients for supply and demand curves was used for modeling. As a result, it was found that when the level of opportunity for the parameters of the supply and demand curves change, the ranges of the equilibrium price will change, as well as the time of its establishment – the achievement of the equilibrium level. In addition, modeling was produced taking into account the lag in the supply from around the delay in the receipt of information on sales. The introduction of a fuzzy lag into the Evans model at a certain ratio of supply and demand parameters leads to significant price fluctuations, which can upset the equilibrium in the market, as well as lead to significant fluctuations in profit for the producer. The implementation of the Evans model with a lag in the proposal was carried out using the Simulink program of the Matlab. As a result of modeling, the dependences of the time for establishing the equilibrium price and the elevation of the price amplitude over its equilibrium value were obtained as a function of the opportunity’s level.

Key words: Evans model, fuzzy set, fuzzy number, demand, supply, lag.

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PRICE SETTING DYNAMICS MODELING ON THE ONE PRODUCT MARKET UNDER UNCERTAINTY by Bizyanov E.E., Podgornaya N.A. is licensed under a Creative Commons Attribution 4.0 International License.

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