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Linear-quadratic discrete-time dynamic potential games

  • Mathematical Game Theory and Applications
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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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Authors and Affiliations

  1. Institute of Applied Mathematical Research, Karelian Research Center of the Russian Academy of Sciences, Petrozavodsk, Russia

    V. V. Mazalov & A. N. Rettieva

  2. INRIA Sophia-Antipolis Mediterranee, Sophia-Antipolis, France

    K. E. Avrachenkov

Authors
  1. V. V. Mazalov
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  2. A. N. Rettieva
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  3. K. E. Avrachenkov
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Corresponding author

Correspondence to V. V. Mazalov.

Additional information

Original Russian Text © V.V. Mazalov, A.N. Rettieva, K.E. Avrachenkov, 2017, published in Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2017, No. 1, pp. 95–107.

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Mazalov, V.V., Rettieva, A.N. & Avrachenkov, K.E. Linear-quadratic discrete-time dynamic potential games. Autom Remote Control 78, 1537–1544 (2017). https://doi.org/10.1134/S0005117917080136

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  • DOI: https://doi.org/10.1134/S0005117917080136

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