|Start Page Number:||1537|
|End Page Number:||1544|
|Publication Date:||Aug 2017|
|Journal:||Automation and Remote Control|
|Authors:||Rettieva A, Mazalov V, Avrachenkov K|
|Keywords:||allocation: resources, combinatorial optimization, programming: dynamic, simulation|
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.