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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Vychislitelnaya Matematika i Informatika" // Archive

Vestn. YuUrGU. Ser. Vych. Matem. Inform., 2013 Volume 2, Issue 4, Pages 17–27 (Mi vyurv106)

Computer Science, Engineering and Control

The control of Stackelberg equilibrium in problems of government control of natural monopoly

A. V. Panyukov, E. D. Konovalova

South Ural State University (Chelyabinsk, Russian Federation)

Abstract: Aim of this paper is the increasing of effectiveness of government control methodology of natural monopoly. Only non-price methods are considered as government control methods. The effectiveness of the control system and the rate of response to external changes depend on adaptability. Solution of the problem government adaptation to change market situation, is cyclical. Two problems: (1) to build a model interaction monopolist and buyer at the specified corrective government control methods (the market is seen as a loop system), (2) to build a model of interaction government and this market and estimate the government adaptability characteristics are solved for each step. It is demonstrated that Stackelberg equilibrium in non-cooperative twoperson games in mixed strategies solves this problem. At the same time, rate, efficiency, optimal selection corrective government strategy and time selection define the government adaptability.

Keywords: natural monopoly, adaptability, noncooperative game, Stackelberg equilibrium, mixed strategy.

UDC: 519.8762

Received: 27.03.2013

DOI: 10.14529/cmse130402



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