Literature Cited
O. A. Malafeev, “Games defined by means of generalized dynamic systems,” in: Abstracts of Papers and Communications to the Second All-Union Conference on Theory of Games, Vilnus, 1971.
E. A. Barbashir, “Generalized dynamic systems,” Uch. Zap. MGU, No. 135, Moscow (1949).
E. Roxin, “Stability in general control systems,” J. Differential Eqs., No. 1 (1965).
O. A. Malafeev, “On the existence of the generalized value of a game of pursuit,” in: Control Systems [in Russian], No. 4-5, Nauka, Novosibirsk (1970).
N. N. Krasovskii, Game Problems on the Meeting of Movements [in Russian], Nauka, Moscow (1970).
O. A. Malafeev and L. A. Petrosyan, “On the discrete approximation of dynamic games of pursuit,” in: Control Systems [in Russian], No. 6, Nauka, Novosibirsk (1970).
W. H. Fleming, “The convergence problem for differential games,” J. Math. Anal. Appl., No. 3 (1961).
P. Varaiya and J. Lin, “Existence of saddle points in differential games,” SIAM J. Control,7 (1969).
A. Friedman, “Existence of value and of saddle points for differential games of pursuit and evasion,” J. Differential Eqs.,7, No. 1 (1970).
N. N. Petrov, “On the existence of a value of a game of pursuit,” Dokl. Akad. Nauk SSSR,190, No. 6, Moscow (1970).
P. Varaiya, “On the existence of solution to a differential game,” SIAM J. Control,5, No. 1 (1967).
R. P. Isaacs, Differential Games, Wiley, New York (1965).
L. S. Pontryagin, “On linear differential games,” Dokl. Akad. Nauk SSSR,174, No. 6, Moscow (1967).
L. A. Petrosyan, “On an invariant in differential games of pursuit,” Vestn. LGU, No. 1, Leningrad (1968).
B. N. Pshenichnyi, “The structure of differential games,” Dokl. Akad. Nauk SSSR,184, No. 2, Moscow (1969).
Additional information
Translated from Kibernetika, No. 3, pp. 111–118, May–June, 1974.
Rights and permissions
About this article
Cite this article
Malafeev, O.A. Equilibrium situations in dynamic games. Cybern Syst Anal 10, 504–513 (1974). https://doi.org/10.1007/BF01068721
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01068721