01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
10.09.1939
E-mail:
Keywords:
nonantagonistic dynamic many persons games,
optimality principles,
methods of solutions'constructing,
decision making in repeated games,
applications of games methods and models to economical problems.
Main publications:
Kleimenov A. F., “Zadachi konfliktnogo upravleniya”, Prikladnaya matematika i mekhanika, 39:2 (1975), 225–234
Kleimenov A. F., “K kooperativnoi teorii beskoalitsionnykh pozitsionnykh differentsialnykh igr”, DAN SSSR, 312:1 (1990), 32–35
Kleimenov A. F., Neantagonisticheskie pozitsionnye differentsialnye igry, Nauka, Uralskoe otdelenie, Ekaterinburg, 1993, 185 s.
Kleimenov A. F., “O resheniyakh v neantagonisticheskoi pozitsionnoi differentsialnoi igre”, Prikladnaya matematika i mekhanika, 61:5 (1997), 739–746
Anatoly F. Kleimenov, “Hybrid problem of dynamic control with three participants in the presence of altruistic and aggressive behavior types”, Mat. Teor. Igr Pril., 13:4 (2021), 18–41
2020
2.
A. F. Kleimenov, “Decision making in a hybrid two-step problem of dynamic control with three participants”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:1 (2020), 131–140
A. F. Kleimenov, “Altruistic and Aggressive Types of Behavior in a Nonzero-Sum Positional Differential Game of Three Persons”, Trudy Inst. Mat. i Mekh. UrO RAN, 25:3 (2019), 108–117; Proc. Steklov Inst. Math. (Suppl.), 309, suppl. 1 (2020), S74–S82
Anatolii F. Kleimenov, “Altruistic and aggressive types of behavior in a non-antagonistic differential game”, Ural Math. J., 4:2 (2018), 79–87
5.
A. F. Kleimenov, “Decision-making in a hybrid two-step problem of dynamic control”, Tambov University Reports. Series: Natural and Technical Sciences, 23:123 (2018), 415–423
2017
6.
A. F. Kleimenov, “Application of the altruistic and aggressive types of behavior in a two-person non-zero-sum positional differential game on the plane”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:4 (2017), 181–191
A. F. Kleimenov, “A two-person non-antagonistic positional differential game with integral and vector payoffs of the players”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013), 130–135
2012
10.
A. F. Kleimenov, “Construction of Nash and Stackelberg types’ solutions in a non-antagonistic differential two-person game in the presence of dynamic disturbances”, Izv. IMI UdGU, 2012, no. 1(39), 66
2009
11.
Anatolii F. Kleimenov, Sergei I. Osipov, Dmitry R. Kuvshinov, “Nash and Stackelberg Solutions Numerical Construction in a Two-Person Nonantagonistic Linear Positional Differential Game”, Contributions to Game Theory and Management, 2 (2009), 205–219
12.
A. F. Kleimenov, D. R. Kuvshinov, S. I. Osipov, “Numerical construction of Nash and Stackelberg solutions in a two-player linear nonantagonistic positional differential game”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009), 120–133; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S147–S161
A. F. Kleimenov, “Universal solution in a nonantagonistic positional differential game with vector performance indexes”, Trudy Inst. Mat. i Mekh. UrO RAN, 1 (1992), 97–105
A. F. Kleimenov, “On a cooperative theory of coalition-free positional differential
games”, Dokl. Akad. Nauk SSSR, 312:1 (1990), 32–35; Dokl. Math., 41:3 (1990), 409–413
A. F. Kleimenov, “The existence and stability of periodic solutions of systems with lag which are close to a Ljapunov system”, Differ. Uravn., 4:8 (1968), 1433–1440
A. F. Kleimenov, S. N. Shimanov, “On the question of the existence and the construction of periodic solutions of systems with lag which are close to Ljapunov systems”, Differ. Uravn., 4:7 (1968), 1199–1211
E. I. Gerashchenko, A. F. Kleimenov, “The analysis of a certain non-linear system by the method of separation of motions”, Differ. Uravn., 1:10 (1965), 1292–1300
2013
19.
V. I. Berdyshev, Yu. F. Dolgii, A. F. Kleimenov, A. B. Kurzhanskii, V. I. Maksimov, Yu. S. Osipov, V. P. Prokop'ev, V. E. Tret'yakov, A. E. Shneider, “On the 90th birthday of Sergei Nikanorovich Shimanov”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013), 5–11
Contact us: