The investigation of two competitive systems

Article type: Research Article

Authors: Tiešis, Vytautas | Maskeliūnas, Saulius | Skurikhina, Marina

Affiliations: Institute of Mathematics and Informatics, 2600 Vilnius, Akademijos St.4, Lithuania

Abstract: The paper deals with a simple model of the competition of two queuing systems, providing the same service. Each system may vary its service price and its service rate. The customers choose the system with less total service price, that depends on the waiting time and on the service price. The possibility for the existence of equilibrium is investigated. Simple cases are investigated analytically. It is shown that the Nash equilibrium exists in special cases only. A modification of the Stakelberg equilibrium is proposed as a model of competition with a prognosis. This prognosis helps form more stable prices and more stable strategies of competitors. The case of social economics is investigated, too. The dynamics of the competition of more realistic stochastic queuing systems is investigated by Monte Carlo simulation. The simulative analysis is realized by means of a rule-based simulation system.

Keywords: competition, equilibrium, simulation, rule-based system

DOI: 10.3233/INF-1994-51-212

Journal: Informatica, vol. 5, no. 1-2, pp. 211-230, 1994