Literature Cited
I. V. Kantorovich, An Economic Calculation of the Best Use of Resources [in Russian], Izd. Akad. Nauk SSSR, Moscow (1959).
L. V. Kantorovich, A Dynamic Model of a Plan for the Future [in Russian], in the collection: “Planning and Mathematical-Economical Methods,” Nauka, Moscow, 323–346 (1964).
L. V. Kantorovich and V. L. Makarov, Optimal Models of Long Range Planning [in Russian], in the collection: “Use of Mathematics in Economic Investigations”, Mysl',3, Moscow (1965), pp. 7–88.
V. L. Makarov, Asymptotic properties of linear dynamic models with discrete times, Dokl. Akad. Nauk SSSR,165, No. 4, 767–769 (1965).
D. Heil, A Closed Linear Model of Production [Russian translation] in the collection: “Linear Inequalities and Mixed Problems,” IL, Moscow, 382–396 (1959).
R. Dorfman, P. A. Samuelson, and B. M. Solow Linear Programming and Economic Analysis, Chap. 12, McGraw-Hill, New York (1958).
R Radner, A turnpike theorem, Review of Economic Studies,28, No. 2, 98–104 (1961).
L. McKenzie, Turnpike theorems for a generalized Leontief model, Econometrica.,31, No. 1–2, 165–181 (1963).
H. Nikaido, A strong version of the Radner turnpike theorem, Econometrica,32, No. 1–2, 151–163 (1964).
V L. Makarov, Equilibrium, states of a closed linear model of an expanding economy, Ékonomika i matematicheskie metody,1, No. 5, 736–738 (1965).
I. V. Romanovskii, The asymptotic behavior of dynamic programming processes with a continuous set of states, Dokl. Akad Nauk SSSR,159, No. 6, 1224–1227 (1964).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 7, No. 4, pp. 832–853, July–August, 1966.
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Makarov, V.L. Asymptotic behavior of optimum trajectories of linear economic models. Sib Math J 7, 663–680 (1966). https://doi.org/10.1007/BF00973264
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DOI: https://doi.org/10.1007/BF00973264