Investigation of the Problem of Optimal Control in a Dynamic Single-Sector Economic Model with Discrete Time and General Boundary Conditions Based on the Dynamic Programming Method

Student: Rudak Anna

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

Educational Programme: Applied Mathematics (Bachelor)

Final Grade: 9

Year of Graduation: 2018

In the paper, a new formulation of the problem of optimal control in a dynamic single-sector economic model with discrete time is investigated. In the obtained problem, the states are the values of the specific capital. The role of management is played by a function representing the share of a specific product directed toward investment. The study is based on the dynamic programming method. Bellman equations for the problem are obtained. The optimality of controls satisfying Bellman's equations is proved. An algorithm has been created and described in detail that makes it possible to numerically solve Bellman's functional equations and find the optimal solution for the problem posed.

Full text (added May 23, 2018)

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