Geodesic
Coefficient criteria in choosing equilibrium conceptions (on the example of linear-quadratic game of two persons)
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 4, pp. 20-26 Cet article a éte moissonné depuis la source Math-Net.Ru

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Coefficient criteria and an explicit form of Berge and Nash equilibrium situations in a non-cooperative game of two persons as well as coefficient conditions of the equilibrium absence have been found.
Keywords: non-cooperative game of two persons; matrixes; vectors; Nash equilibrium; Berge equilibrium. 
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V. I. Zhukovskiy; Yu. A. Bel'skikh; S. P. Samsonov. Coefficient criteria in choosing equilibrium conceptions (on the example of linear-quadratic game of two persons). Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 7 (2015) no. 4, pp. 20-26. http://geodesic.mathdoc.fr/item/VYURM_2015_7_4_a2/

[1] Zhukovskiy V. I., Chikriy A. A., Linear Quadratic Differential Games, Naukova Dumka Publ., Kiev, 1994, 320 pp. (in Russ.)

[2] Zhukovskiy V. I., Introduction to differential games with uncertainty. Nash Equilibrium, URSS Publ., 2010, 168 pp. (in Russ.)

[3] Zhukovskiy V. I., Introduction to differential games under uncertainty. Berge–Vaisman Equilibrium, URSS Publ., 2010, 174 pp. (in Russ.)

[4] V. I. Zhukovskiy, Lyapunov Functions in Differential Games, Taylor and Francis, London, 2003, 281 pp. | MR | Zbl