Mathematical Modeling of the Equilibrium Price Formation Taking into Account the Logistic Factor

Abstract

The article is aimed at economic and mathematical modeling of influence of logistic mechanisms on the processes of equilibrium price formation. An approach to consideration of logistics factor in mathematical models of the equilibrium price formation is proposed, according to which virtual logistician is introduced into the model, which, unlike the auctionist in the classical economic and mathematical models of this type, acting on one particular rule, is able to choose on a rational way the rule of price adjustment for balancing the market at some given aggregate. In the system «producer – consumer – market», rules of equilibrium price formation can be related to each of the three specified elements. As a criterion of choice of rules are considered the minimum time of achieving the equilibrium price (some approximation) or the maximum sales volumes with the value or natural calculation. Analysis of the constructed mathematical models (proposed modifications of the equilibrium price model of Evans) allows to demonstrate the possibilities of logistic mechanisms that provide improvement of the most important parameters of market functioning. The probable directions of development of the presented results may be related to research of economic and mathematical problems of construction and type assignment of the possible rules of action of the logistician in the market in order to bring it to equilibrium state in the most rational way.

Keywords

• equilibrium price
• logistic factor
• mathematical modeling