Automation and Remote Control

, Volume 78, Issue 8, pp 1537–1544 | Cite as

Linear-quadratic discrete-time dynamic potential games

  • V. V. Mazalov
  • A. N. Rettieva
  • K. E. Avrachenkov
Mathematical Game Theory and Applications

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.

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  • V. V. Mazalov
    • 1
  • A. N. Rettieva
    • 1
  • K. E. Avrachenkov
    • 2
  1. 1.Institute of Applied Mathematical ResearchKarelian Research Center of the Russian Academy of SciencesPetrozavodskRussia
  2. 2.INRIA Sophia-Antipolis MediterraneeSophia-AntipolisFrance

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