Special modes in a two-sector economy model with an integral utility function


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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. Kiselev

Department of Computational Mathematics and Cybernetics

编辑信件的主要联系方式.
Email: kiselev@cs.msu.su
俄罗斯联邦, Moscow, 119991

M. Orlov

Department of Computational Mathematics and Cybernetics

Email: kiselev@cs.msu.su
俄罗斯联邦, Moscow, 119991

S. Orlov

Department of Computational Mathematics and Cybernetics

Email: kiselev@cs.msu.su
俄罗斯联邦, Moscow, 119991

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