Geodesic
The control of Stackelberg equilibrium in problems of government control of natural monopoly
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 2 (2013) no. 4, pp. 17-27

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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. 
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     author = {A. V. Panyukov and E. D. Konovalova},
     title = {The control of {Stackelberg} equilibrium in problems of government control of natural monopoly},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a Vy\v{c}islitelʹna\^a matematika i informatika},
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A. V. Panyukov; E. D. Konovalova. The control of Stackelberg equilibrium in problems of government control of natural monopoly. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 2 (2013) no. 4, pp. 17-27. http://geodesic.mathdoc.fr/item/VYURV_2013_2_4_a1/