ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Rempen I. S., Koronovskii A. A. Nonlinear model of customers and sellers interaction. Izvestiya VUZ. Applied Nonlinear Dynamics, 1997, vol. 5, iss. 5, pp. 80-88. DOI: 10.18500/0869-6632-1997-5-5-80-88

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Language: 
Russian
Article type: 
Article
UDC: 
519.8661.2

Nonlinear model of customers and sellers interaction

Autors: 
Rempen Irina S., Saratov State University
Koronovskii Aleksei Aleksandrovich, Saratov State University
Abstract: 

In this work the interaction of customers and sellers is examined. Goods of the same kind may be selled by different prices and every customer sets the limit price he is able to pay. The dynamics of the system with different initial forms of supply and demand functions is examined. The method of deriving the demand and the profit functions by the given supply function is described.

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Reference: 
  1. Weidlich W, Haag G. Concepts and Models оf а Quantitative Sociology. Berlin: Springer; 1983. 220 p. DOI: 10.1007/978-3-642-81789-2.
  2. Weidlich W. Stability and cycliccity in social systems. Behavioral Science. 1988;33(4):241-256. DOI: 10.1002/bs.3830330402.
  3. Weidlich W. The use of the statistical models in sociology. Collective Phenomena. 1972;1(1):51-59.
  4. Volgin LN. Model of optimization of the contractual price. Economics and the Mathematical Methods. 1995;31(4):161-163.
  5. Stigler GJ. The economics of information. J. Polit. Econ. 1961;69:213-225.
  6. Koronovskii AA. On the mechanisms for setting the market price. Izvestiya VUZ. Applied Nonlinear Dynamics. 1996;4(4-5):92-98.
Received: 
17.04.1997
Accepted: 
08.07.1997
Published: 
17.12.1997