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

Mat. Teor. Igr Pril., 2017 Volume 9, Issue 1, Pages 95–107 (Mi mgta196)

This article is cited in 5 papers

Linear-quadratic discrete-time dynamic potential games

Vladimir V. Mazalova, Anna N. Rettievaa, Konstantin E. Avrachenkovb

a Institute of Applied Mathematical Research, Karelian Research Center of RAS
b INRIA Sophia-Antipolis Mediterranee

Abstract: Discrete-time game-theoretic models of resource exploitation are treated as dynamic potential games. The players (countries or firms) exploit a common stock on the infinite time horizon. The main aim of the paper is to obtain a potential for the linear-quadratic games of this type. The class of games where a potential can be constructed as a quadratic form is identified. As an example, the dynamic game of bioresource management is considered and the potentials are constructed in the case of symmetric and asymmetric players.

Keywords: dynamic game, potential, bioresource management problem.

UDC: 519.833.2
BBK: 22.18


 English version:
Automation and Remote Control, 2017, 78:8, 1537–1544

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© Steklov Math. Inst. of RAS, 2026