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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

[1] V. V. Klochkov, D. I. Sazonov, “Adaptability Analysis Methods of Production Programs and Business Structure Organizational on the Example of Air Transport and Aviation”, Economics and Mathematical Methods, 43:2 (2007), 44–56

[2] E. D. Konovalova, “Performance Analysis of Government Control Methods Adaptability at Temporal High-rate Monopolization Market State Changes”, Mathematical and Statistical Study of the Socio-economic Processes, 2011, 5–12

[3] E. D. Konovalova, “The Development of Statistical Tools for the Expert Survey”, Statistics. Modeling. Optimization: Proceedings of the National Conference (Chelyabinsk, 28 November- 3 December 2011), Publishing of the South Ural State University, Chelyabinsk, 2011, 311–315

[4] E. D. Maltseva, “Principles of Government Adaptability to regulate the market monopolization degree in conditions of imperfect competition”, Mathematical and Statistical Study of the Socio-economic Processes, v. 2, 2009, 36–51

[5] E. D. Maltseva, “The Method of Predicting Tax Revenues to the Federal Budget of the Russian Federation in the Context of the Economic Crisis”, Modern Statistics in Dialogue with Society, Chelstat, Chelyabinsk, 2009, 31–36

[6] V. A. Mau, The Logic of Russia's Modernization: Historical Abstracts and Contemporary Challenges. Gazeta.Ru. Comments, } {\tt http:/www.gazeta.ru/...

[7] A. V. Panyukov, E. D. Konovalova, “Performance Analysis of Government Control Adaptability at Temporal High-rate Monopolization Market State Changes”, Perm University Herald Special Issue Economy, 2012, 58–68

[8] L. V. Stepanov, Modeling of the Competition in the Market, Publishing of the Academy of Natural Science, 2009, 115 pp.

[9] S. Y. Chernavskiy, O. A. Eysmont, “Economic Analysis of the Liberalization of Natural Gas market in Russia”, Central Economics and Mathematics Institute RAN. Laboratory of the Energetics’ Economic Problems, 2008, no. 4(43), 63–75