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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2025 Volume 17, Issue 4, Pages 66–80 (Mi mgta376)

Resource management problem with different reproduction regimes

Andrey A. Lesonen, Anna N. Rettieva

Institute of Applied Mathematical Research of the Karelian Research Center of RAS

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.

Keywords: Hamilton-Jacobi-Bellman equation, resource management, dynamic system.

UDC: 519.83
BBK: 22.18

Received: 18.07.2025
Revised: 11.08.2025
Accepted: 16.09.2025



© Steklov Math. Inst. of RAS, 2026