Abstract
In this work, we study a two-sector economic model with the Cobb–Douglas production function on an infinite planning horizon where the utility function is a functional of an integral form and a Lagrangian of a logarithmic type. A one-dimensional equation is obtained that depends only on the coefficients of elasticity and amortization, and determines the possible special modes. The special modes are described in analytical form.
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Yu. N. Kiselev and M. V. Orlov, “Investigating a two-sector model of economic growth with the Cobb-Douglas production function,” Moscow Univ. Comput. Math. Cybernet. 34 (2), 66–73 (2010).
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Yu. N. Kiselev and M. V. Orlov, “Optimal resource distribution program in a two-sector economic model with a Cobb-Douglas production function with distinct amortization factors,” Differ. Equations 48 (12), 1607–1622 (2012).
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Original Russian Text © Yu.N. Kiselev, M.V. Orlov, S.M. Orlov, 2016, published in Vestnik Moskovskogo Universiteta, Seriya 15: Vychislitel’naya Matematika i Kibernetika, 2016, No. 1, pp. 11–18.
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Kiselev, Y.N., Orlov, M.V. & Orlov, S.M. Special modes in a two-sector economy model with an integral utility function. MoscowUniv.Comput.Math.Cybern. 40, 10–18 (2016). https://doi.org/10.3103/S0278641916010039
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DOI: https://doi.org/10.3103/S0278641916010039