Dynamics of formation of transitional prices on the chain of sequential markets: analytical model

Abstract

The purpose of this work is to build a mathematical model that would allow us to analyze general issues related to the formation of transitional prices in the finite N-dimensional chain of sequential markets in accordance with the scheme of market equilibrium. The proposed analytical model which has form of integral equations system makes it possible to study the dynamics of prices in adjacent markets. The dynamic aspect of this model is the existence of an “after-effect”, which is described in an integral form by the delay distributed over time. The conditions for the existence of the solution for this system of equations and the area of its stability are formulated. Applying simulation modelling, examples of numerical implementation of the analytical model for two and three sequential markets are given, equilibrium prices for each link of the chain of sequential markets are determined.