Geodesic
Linear-quadratic discrete-time dynamic potential games
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 9 (2017) no. 1, pp. 95-107

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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. 
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     author = {Vladimir V. Mazalov and Anna N. Rettieva and Konstantin E. Avrachenkov},
     title = {Linear-quadratic discrete-time dynamic potential games},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
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     volume = {9},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2017_9_1_a4/}
}
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Vladimir V. Mazalov; Anna N. Rettieva; Konstantin E. Avrachenkov. Linear-quadratic discrete-time dynamic potential games. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 9 (2017) no. 1, pp. 95-107. http://geodesic.mathdoc.fr/item/MGTA_2017_9_1_a4/