Geodesic
Existence of threat counter-threat equilibrium in one non-cooperative game of three players
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2005), pp. 65-76 Cet article a éte moissonné depuis la source Math-Net.Ru

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The conditions that guarantee the existence of threat and counter threat equilibrium in non cooperative game of three persons are derived. The main feature of the game is absence of constraints on strategies sets of players. 
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V. I. Zhukovskii; K. S. Sorokin. Existence of threat counter-threat equilibrium in one non-cooperative game of three players. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2005), pp. 65-76. http://geodesic.mathdoc.fr/item/IIMI_2005_2_a4/

[1] Nash J. F., “Non-cooperative games”, Ann. Math., 54 (1951), 286–295 | DOI | MR | Zbl

[2] Vaisbord E. M., Zhukovskiy V. I., Introduction to Multi-Player Differential Games and their Applications, Gordon and Breach, N. Y., 1988 | MR

[3] Vasilev F. P., Metody optimizatsii, Faktorial Press, M., 2002

[4] Podinovskii V. V., Nogin V. D., Pareto-optimalnye resheniya mnogokriterialnykh zadach, Nauka, M., 1982 | MR

[5] Zhukovskiy V. I., Lyapunov Function in Differential Games, Teylor and Francis, London–N. Y., 2003 | MR

[6] Zhukovskii V. I., Chikrii A. A., Lineino-kvadratichnye differentsialnye igry, Nauk. dumka, Kiev, 1994