Resource management problem with different reproduction regimes

  • Anna Nikolaevna Rettieva Institute of Applied Mathematical Research of the Karelian Research Center of RAS
  • Андрей Александрович Лесонен Institute of Applied Mathematical Research of the Karelian Research Center of RAS
  • Andrey A. Lesonen Institute of Applied Mathematical Research of the Karelian Research Center of RAS
  • Анна Николаевна Реттиева Institute of Applied Mathematical Research of the Karelian Research Center of RAS
DOI: https://doi.org/10.17076/mgta_2025_4_89
Keywords: Hamilton-Jacobi-Bellman equation, resource management, dynamic system

Abstract

The paper considers dynamic resource management problem with different reproduction regimes. The planning horizon is assumed to be divided into equal intervals with their own resource natural growth function. The optimal control for the problems with finite and infinite planning horizon is obtained in general form. Nash equilibrium for game-theoretic setting of the problem with infinite planning horizon and interchanging reproduction regimes is constructed. The results of numerical modeling are presented.

Published
2026-08-17
How to Cite
Rettieva, A., Лесонен, А., Lesonen, A., & Реттиева, А. (2026). Resource management problem with different reproduction regimes. Mathematical Game Theory and Applications, 17(4), 66-80. https://doi.org/10.17076/mgta_2025_4_89
Issue
Vol 17 No 4 (2025): Mathematical game theory and applications
Section
Статьи
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