Dynamic model of interaction between the firm and its owners
Matematičeskoe modelirovanie, Tome 27 (2015) no. 1, pp. 65-83.

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In this article model of intertemporal equilibrium of two agents (a firm-producer and a proprietor-consumer) is presented. Its distinguishing feature is the description of the firm as a joint stock company, the purpose of which is to maximize the present value of dividends paid. A complete solution for all initial conditions is obtained. It is shown that the equilibrium in the model is effective.
Keywords: general equilibrium model, equity, intertemporal equilibrium, functional of producer.
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N. P. Pilnik; I. P. Stankevich. Dynamic model of interaction between the firm and its owners. Matematičeskoe modelirovanie, Tome 27 (2015) no. 1, pp. 65-83. http://geodesic.mathdoc.fr/item/MM_2015_27_1_a4/

[1] J. Tirole, The Theory of Industrial Organization, MIT Press, Cambridge, MA, 1988

[2] D. Hay, D. Morris, Industrial economics and organization: theory and evidence, Oxford University Press, 1991

[3] I. G. Pospelov, “Dinamicheskaya model rynka”, Ekonomika i matem. metody, 24:3 (1988)

[4] S. M. Guriev, I. G. Pospelov, “Neeffektivnye ravnovesiia v ekonomike perehodnogo perioda”, Upravlenie ekonomikoi perehodnogo perioda, 2, ed. V. V. Makarov, Nauka, M., 1998, 138–163

[5] K. J. Arrow, G. Debreu, “Existence of a Competitive Equilibrium for a Competitive Economy”, Econometrica, 22:3 (1954), 265–290 | DOI

[6] I. G. Pospelov, Modeli ekonomicheskoy dinamiki, osnovannye na ravnovesii prognozov ekonomicheskih agentov, VTs RAN, M., 2003

[7] A. I. Sotskov, Time-consistent government policies in the Sidrausky's model, Working paper #2003/034, New Economic School, Moscow, 2003, 27 pp.

[8] D. Acemoglu, Introduction to Modern Economic Growth, MIT Press, Cambridge, MA, 2007

[9] J. Adda, R. Cooper, Dynamic Economics, MIT Press, Cambridge, MA, 2003

[10] R. Barro, X. Sala-i-Martin, Economic Growth, MIT Press, Cambridge, MA, 2004

[11] M. Iu. Andreev, I. G. Pospelov, I. I. Pospelova, M. A. Hohlov, Tehnologiia modelirovaniia ekonomiki i model sovremennoi ekonomiki Rossii, MIFI, M., 2007

[12] V. L. Makarov, A. M. Rubinov, Matematicheskaia teoriia ekonomicheskoi dinamiki v ravnovesii, Nauka, M., 1973

[13] N. P. Pilnik, I. G. Pospelov, Dinamicheskaia model obshchego ravnovesiia ekonomiki Respubliki Kazahstan, Trudy MFTI, 2013