Linear-quadratic discrete-time dynamic potential games

Linear-quadratic discrete-time dynamic potential games

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Article ID: iaor20173600
Volume: 78
Issue: 8
Start Page Number: 1537
End Page Number: 1544
Publication Date: Aug 2017
Journal: Automation and Remote Control
Authors: , ,
Keywords: allocation: resources, combinatorial optimization, programming: dynamic, simulation
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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