The Study of Optimal Control Problems in the Economic Model in Discrete Time Using a Dynamic Programming Method.

Student: Voronkova Anastasiya

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Mathematical Methods of Modelling and Computer Technologies (Master)

Final Grade: 8

Year of Graduation: 2017

In this work we look through the problem of optimal control in a dynamic economic model with discrete time. A new formulation of the management problem developed and based on the classical single-sector model of the economy. As the system's condition we consider the specific capital (capital-labor ratio), the control parameter is the share of specific production directed to investments. The mathematical basis of the study is Bellman's dynamic programming method. A functional equation is obtained and it is equivalent to the Bellman equation. A solving algorithm for this problem and optimal control strategies is developed and described in details.

Full text (added May 12, 2017)

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