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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2014 Volume 6, Issue 1, Pages 73–90 (Mi mgta128)

This article is cited in 5 papers

The dynamic hierarchical games of two players in programming strategies and their exhibits

Gennady A. Ougolnitskiy, Anatoly B. Usov

Federal State University

Abstract: The private classes of the differential hierarchical games of two players in programming strategies are considered in this article. Their interpretation is given as models to corruptions and controls of the sustainable development in hierarchical systems. The optimum principles for these classes of the games as modifications of the Stackelberg balance are formulate. The algorithms of the construction balance of these games are offered. These algorithms are approved on numeric examples.

Keywords: dynamic games, hierarchical systems, Stackelberg balance, corruption, sustainable development.

UDC: 519.83+519.86
BBK: 22.18



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