Abstract:
Current paper is focused on the numerical search for the equilibrium trajectory in the
two-sector model of economic growth (production and energy sectors). There is a possibility in the energy sector to use oil resources from limited reserves. The distribution of
resources between sectors depends on the operating regime of economy (with or without
oil). It is necessary to find transition path which delivers economy to the long term equilibrium. In this paper we propose to apply shooting algorithm with the analogue of Newton method to update the starting point of recursive process. We discuss some aspects of
applying this approach to such type of economic problems: features of the phase trajectory map, convenient step and stopping criterion ensures result comparable with the scale
of economy.
Keywords:
Newton method, shooting algorithm, global solution, exhaustible resources,
dynamic model of general equilibrium, oil prices.
Citation:
E. A. Leonov, A. V. Polbin, “Numerical search for the global solution in the two-regime model with exhaustible resources”, Mat. Model., 33:8 (2021), 42–58; Math. Models Comput. Simul., 14:2 (2022), 213–223
\Bibitem{LeoPol21}
\by E.~A.~Leonov, A.~V.~Polbin
\paper Numerical search for the global solution in the two-regime model with exhaustible resources
\jour Mat. Model.
\yr 2021
\vol 33
\issue 8
\pages 42--58
\mathnet{http://mi.mathnet.ru/mm4311}
\crossref{https://doi.org/10.20948/mm-2021-08-03}
\transl
\jour Math. Models Comput. Simul.
\yr 2022
\vol 14
\issue 2
\pages 213--223
\crossref{https://doi.org/10.1134/S2070048222020107}
Linking options:
https://www.mathnet.ru/eng/mm4311
https://www.mathnet.ru/eng/mm/v33/i8/p42
This publication is cited in the following 2 articles:
Zaiyan Zhang, Weidong Song, Yangyang Zhuang, Bing Zhang, Jiachen Wu, “Automated Multi-Type Pavement Distress Segmentation and Quantification Using Transformer Networks for Pavement Condition Index Prediction”, Applied Sciences, 14:11 (2024), 4709
Yang Han, Shaoping Rui, “A New Adaptive Levenberg–Marquardt Method for Nonlinear Equations and Its Convergence Rate under the Hölderian Local Error Bound Condition”, Symmetry, 16:6 (2024), 674
Citation in format AMSBIB
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