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Differential games with nonzero sum (cooperative variant)

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Literature cited

  1. T. G. Abramyants, E. P. Maslov, and E. Ya. Rubinovich, “Three person differential games under conditions of indeterminacy,” in: Thesis Reports of the Fourth All-Union Conference “Statistical Methods in Control Theory” [in Russian], Frunze (1978), pp. 58–62.

  2. V. V. Al'sevich, “Minimization of nonsmooth functions on the set of finite states of a dynamical system,” Differents. Uravn.,10, No. 2, 349–350 (1974).

    Google Scholar 

  3. V. V. Al'sevich, “The problem of terminal control with nondifferentiable quality criteria,” in: Differential and Integral Equations [in Russian], Vol. 2, Irkutsk (1973), pp. 81–87.

    Google Scholar 

  4. V. V. Al'sevich, “Necessary conditions for optimality for minimax problems of optimization,” Differents. Uravn.,12, No. 8, 1384–1391 (1976).

    Google Scholar 

  5. É. M. Balychavtsev and É. K. Lavrovskii, “On the structure of Pareto sets in some optimization problems,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 6, 44–53 (1977).

    Google Scholar 

  6. R. E. Bellman, I. Glicksberg, and O. Gross, Some Questions of the Mathematical Theory of Control Processes [Russian translation], IL, Moscow (1962).

    Google Scholar 

  7. L. M. Boichuk and V. O. Ovchinnikov, “Basic approaches to solving multicriterial optimization problems (survey),” Avtomatika, No. 3, 3–7 (1973).

    Google Scholar 

  8. O. N. Bondareva, V. B. Vilkov, T. E. Kulakovskaya, N. M. Naumova, and N. A. Sokolina, “Survey of Soviet papers on the theory of cooperative games,” in: Operations Research and Statistical Modeling [in Russian], Vol. 4, Leningrad. Univ. (1977), pp. 81–126.

  9. V. I. Borisov, “Problems of vector optimization,” in: Operations Research [in Russian], Nauka, Moscow (1972), pp. 72–91.

    Google Scholar 

  10. L. F. Burlyaeva, V. V. Kafarov, R. E. Kuzin, and A. V. Netushil, “Methods of search for Paretooptimal solutions in control problems of chemicotechnological processes,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 4, 196–199 (1976).

    Google Scholar 

  11. É. M. Vaisbord, V. I. Zhukovskii, and V. S. Molostvov, “Some results on optimal strategies in N person differential games,” in: Abstracts of the Third All-Union Conference on Game Theory [in Russian], Odessa (1974), pp. 30–31.

  12. S. Vankrinene, “Nonantagonistic dynamical two-person games,” Author's Abstract of Candidates Dissertation, Vilnius (1972).

  13. S. Vankrinene, “Cooperative dynamical two-person games,” Litov. Mat. Sb.,10, No. 3, 453–461 (1970).

    Google Scholar 

  14. Z. Varga, Antagonistic Differential Games with Vector Payoff Functions [in Russian], Moscow State University (1977).

  15. Z. Varga, “On a cooperative pursuit game,” Vestn. Mosk. Gos. Univ., Ser. Vychisi. Mat. Kibern., No. 1 (1979).

  16. V. V. Velichenko, “On sufficient conditions for a global minimax,” Dokl. Akad. Nauk SSSR,219, No. 5, 1045–1048 (1974).

    Google Scholar 

  17. V. V. Velichenko, “On the method of a field of extremals in sufficient conditions for optimality,” Zh. Vychisl. Mat. Mat. Fiz.,14, No. 1, 45–67 (1974).

    Google Scholar 

  18. V. V. Velichenko, “On conditions for a minimax in a multicriterial problem of optimal control,” in: Numerical Methods of Nonlinear Programming [in Russian], Materials of the First All-Union Seminar, Kiev (1976), pp. 19–26.

  19. É. I. Vilkas, “Formalization of problems of choice of game-theoretic optimality criteria,” in: Mathematical Methods in the Social Sciences [in Russian], Vol. 2, Vilnius (1973), pp. 9–31.

    Google Scholar 

  20. É. I. Vilkas, “On cooperative solutions of games in the form of characteristic functions,” in: Mathematical Methods in the Social Sciences [in Russian], Vol. 2, Vilnius (1973), pp. 51–73.

    Google Scholar 

  21. É. Vilkas, “Multigoal optimization,” in: Mathematical Methods in the Social Sciences [in Russian], Vol. 7, Vilnius (1976), pp. 17–67.

    Google Scholar 

  22. T. K. Vinogradova and V. F. Dem'yanov, “On necessary conditions in minimax control problems,” Zh. Vychisl. Mat. Mat. Fiz.,14, No. 1, 233–236 (1974).

    Google Scholar 

  23. N. N. Vorob'ev, “Contemporary state of game theory,” Usp. Mat. Nauk,25, No. 2, 81–140 (1970).

    Google Scholar 

  24. N. N. Vorob'ev, Game Theory. Lectures for Economists-Cyberneticists [in Russian], Leningrad Univ. (1974).

  25. R. Gabasov and F. M. Kirillova, Qualitative Theory of Optimal Processes [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  26. R. Gabasov and F. M. Kirillova, Foundations of Dynamical Programming [in Russian], Belorussian State Univ., Minsk (1975).

    Google Scholar 

  27. R. Gabasov and F. M. Kirillova, “Methods of optimal controls,” in: Contemporary Problems of Mathematics [in Russian], Vol. 6 (Itogi Nauki i Tekh. VINITI Akad. Nauk SSSR), Moscow (1976), pp. 133–261.

    Google Scholar 

  28. M. S. Gabrielyan, “The problem of approach of a “group of controlled objects,” Izv. Akad. Nauk Arm.SSR, Mekh.,29, No. 3, 3–15 (1976).

    Google Scholar 

  29. M. S. Gabrielyan, “On the conflict problem of approach for group objects,” Uch. Zap. Erevan. Univ. Estestv. Nauk, No. 3(130), 23–30 (1975).

    Google Scholar 

  30. M. S. Gabrielyan, “On a game problem of guidance on a convex domain” Uch. Zap. Erevan. Univ. Estestv. Nauk, No. 1(131), 24–29 (1976).

    Google Scholar 

  31. M. S. Gabrielyan, “A stable game of pursuit for group objects,” Uch. Zap. Erevan. Univ. Estestv. Nauk, No. 2(135), 27–35 (1977).

    Google Scholar 

  32. Yu. B. Germeier, Introduction to the Theory of Operations Research [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  33. Yu. B. Germeier, “On the combination of vector criteria of effectivity into one criterion,” in: Kinematics in the Service of Communism [in Russian], Vol. 6, Énergiya, Moscow (1971).

    Google Scholar 

  34. V. A. Gorelik and V. V. Fedorov, “On an approach to the solution of minimax problems of optimal control,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 1, 45–54 (1976).

    Google Scholar 

  35. V. V. Gorokhovik, “On a problem of vector optimization,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 6, 63–74 (1972).

    Google Scholar 

  36. V. V. Gorokhovik, “Some problems of vector optimization and differential games,” Author's Abstract of Candidate's Dissertation, Minsk Akad. Nauk BSSR (1973).

  37. V. V. Gorokhovik, “Optimization problems with vector quality index,” in: Control and Optimization Problems [in Russian], Minsk (1976), pp. 134–147.

  38. V. V. Gorokhovik, “Weak effectiveness conditions in finite-dimensional vector optimization problems,” Inst. Mat. Akad. Nauk BSSR, Preprint No. 12(12), Minsk (1976).

  39. V. V. Gorokhovik, “Necessary conditions for weak effectiveness in a control problem with vector quality indices,” Inst. Mat. Akad. Nauk BSSR, Preprint No. 13(13), Minsk (1976).

  40. V. V. Gorokhovik, “On necessary conditions for weak effectiveness in a control problem with vector quality indices,” Inst. Mat. Akad. Nauk BSSR, Preprint No. 4 (1978).

  41. V. V. Gorokhovik and S. Ya. Gorokhovik, “Necessary conditions for optimality of singular controls in problems with fixed right end of a trajectory,” Dokl. Akad, Nauk BSSR,20, No. 3, 221–224 (1976).

    Google Scholar 

  42. V. V. Gorokhovik and F. M. Kirilova, “On scalarization of problems of vector optimization,” Dokl. Akad. Nauk BSSR, No. 7, 588–591 (1975).

    Google Scholar 

  43. V. V. Gorokhovik and M. P. Dymkov, “Optimization of linear systems according to vector criteria,” in: Differential and Integral Equations [in Russian], Vol. 3, Irkutsk (1975), pp. 245–256.

    Google Scholar 

  44. S. Ya. Gorokhovik, “Necessary conditions for optimality of multidimensional singular controls,” Differents. Uravn.,9, No. 9, 1721–1724 (1973).

    Google Scholar 

  45. S. Ya. Gorokhovik, “Necessary conditions for optimal in a problem with fixed right end of a trajectory,” Differents. Uravn.,11, No. 10, 1765–1773 (1975).

    Google Scholar 

  46. L. G. Gurin and E. M. Stolyarova, “The maximum principle in a minimax problem,” Zh. Vychisl. Mat. Mat. Fiz.,13, No. 5, 1175–1185 (1973).

    Google Scholar 

  47. V. N. Gurman and V. A. Dykhta, “Degenerate problems of optimal controls and the method of multiple maxima,” Avtom. Telemekh., No. 3, 51–59 (1977).

    Google Scholar 

  48. M. I. Gusev, “Vectorial optimization of linear systems,” Dokl. Akad. Nauk SSSR,207, No. 1, 21–24 (1972).

    Google Scholar 

  49. M. I. Gusev, “A controlled linear system optimizing vector criteria,” in: Extremal Strategies in Positional Differential Games [in Russian], Sverdlovsk (1974), pp. 77–104.

  50. M. I. Gusev and A. B. Kurzhanskii, “On equilibrium situations in multicriterial game problems,” Dokl. Akad. Nauk SSSR,229, No. 6, 1295–1298 (1976).

    Google Scholar 

  51. P. B. Gusyatnikov, “Three-dimensional flight from many pursuers,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 5, 30–36 (1976).

    Google Scholar 

  52. P. B. Gusyatnikov, “Flight andl-flight in many-person differential games,” Dokl. Akad. Nauk SSSR,232, No. 3, 517–520 (1977).

    Google Scholar 

  53. P. B. Gusyatnikov and L. P. Yugai, “The flight problem in nonlinear differential games with terminal set of complex structure,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 2, 8–13 (1977).

    Google Scholar 

  54. N. N. Danilov, “The Pareto set in an n-person differential game with nonstrict competition,” in: Some Questions of Differential and Integral Equations and Their Applications [in Russian], Vol. 2, Yakutsk State Univ. (1977), pp. 25–35.

  55. N. N. Danilov, “Structure of the Pareto set in a nonantagonistic differential game,” in: Questions of the Mechanics of Process Controls. Control of Dynamical Systems [in Russian], Vol. 2, Leningrad State Univ. (1978), pp. 44–50.

  56. N. N. Danilov, “Stability of solutions in n-person differential games with terminal payoffs,” Fourth All-Union Conference on Game Theory, Abstracts, Gorki (1978), pp. 416–418.

  57. N. N. Danilov, “Structure of the Pareto set in an n-person differential game,” Fourth All-Union Conference on Problems of the Theory of Cybernetics, Abstracts of Reports, Novosibirsk (1977), pp. 53–54.

  58. Differential Games. Index of the Russian and Foreign Literature for 1968–1976 [in Russian], Izd. Akad. Nauk SSSR, Ural'skii Nauch. Tsentr., Sverdlovski (1978).

  59. V. A. Dolodorenko and É. I. Fedan, “On a complex problem of optimal control of a multigoal system,” in: Complex Control Systems [in Russian] (1976), pp. 96–110.

  60. A. Ya. Dubovitskii and A. A. Milyutin, “Extremal problems in the presence of restrictions,” Zh. Vyschisl. Mat. Mat. Fiz.,5, No. 3, 395–453 (1965).

    Google Scholar 

  61. M. P. Dymkov, “A method of construction of the set of unimprovable values of a functional in a problem of vector optimization,” in: Differential and Integral Equations [in Russian], Vol. 4, Irkutsk (1976), pp. 140–144.

    Google Scholar 

  62. S. V. Emel'yanov, V. I. Borisov, A. A. Malevich, and A. M. Cherkashin, “Models and methods of vector optimization,” in: Techniques of Cybernetics [in Russian], Vol. 5 (Itogi Nauki i Tekh. VINITI Akad. Nauk SSSR), Moscow (1973), pp. 386–448.

    Google Scholar 

  63. V. I. Zhukovskii, “On differential games of several persons with nonzero sum,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 3, 3–13 (1971).

    Google Scholar 

  64. V. I. Zhukovskii, “Optimality in a differential game of several persons,” in: Problems of Analytical Mechanics Theory of Stability and Control [in Russian], Nauka, Moscow (1975), pp. 143–147.

    Google Scholar 

  65. V. I. Zhukovskii and N. V. Stoyanov, “On the theory of certain differential games with time-lag,” Part I, Godishn. Vissh. Tekhn. Uchebn. Zaved., Mat.,9, No. 1, 7–21 (1973(1974)); Part II and Part III. Godishn. Vissh. Tekhn. Uchebn. Zaved., Mat.,9, No. 2, 9–41 (1973 (1974)).

    Google Scholar 

  66. V. I. Zhukovskii and N. V. Stoyanov, “On the pursuit problem with many participants,” Godishn. Vissh. Uchebn. Zaved., Prilozhen. Mat.,10, No. 3, 79–95 (1974 (1975)).

    Google Scholar 

  67. V. I. Zabotin, “Effectiveness conditions in problems of optimal control and nonlinear programming,” Author's Abstract of Candidate's Dissertation, Kazan Aviation Institute (1973).

  68. V. I. Zabotin, “On some problems of optimization with collections of goal functions,” Tr. Kazan. Aviats. Inst., No. 147, 14–17 (1972).

    Google Scholar 

  69. V. I. Zabotin, “On an optimization problem with vector criteria,” Tr. Kazan. Aviats. Inst., No. 135, 69–75 (1971).

    Google Scholar 

  70. S. I. Zukhovskii, R. A. Polyak, and M. E. Primak, “On a concave n-person game and a production model,” Dokl. Akad. Nauk SSSR,191, No. 6, 1220–1223 (1970).

    Google Scholar 

  71. Indzuki Iosiiti, Nakamura Yukikhiro, “Study of probabilistic differential games,” Bull. Eng. Res. Inst. Kyoto Univ.,35, 34 (1969).

    Google Scholar 

  72. V. M. Ilyshev, “On the theory of optimal systems,” Kibernetika, No. 1, 122–124 (1972).

    Google Scholar 

  73. L. V. Kantorovich and V. L. Makarov, “Differential and functional equations arising in models of the dynamics of economics,” Sib. Mat. Zh.,11, No. 5, 1046–1059 (1970).

    Google Scholar 

  74. S. Karlin, Mathematical Methods in the Theory of Games, Programming, and Economics [Russian translation], Mir, Moscow (1964).

    Google Scholar 

  75. F. M. Kirillova and N. A. Poletaeva, “On some pursuit problems,” Abstracts of the International Congress of Mathematicians, Section 6, Nauka, Moscow (1966).

    Google Scholar 

  76. F. M. Kirillova, V. V. Gorokhovik, and M. N. Dymkov, “On the theory of vector optimization,” in: Materials of the All-Union Symposium on Optimal Controls and Differential Games, 1976 [in Russian], Metsniereba, Tbilisi (1977), pp. 139–145.

    Google Scholar 

  77. L. I. Kozhinskaya and L. I. Slutskii, “The role of the method of combination in vectorial optimization,” Avtom. Telemekh., No. 3, 167–170 (1973).

    Google Scholar 

  78. V. B. Kolmanovskii, “On some questions of optimal high speeds in stochastic systems,” Probl. Upr. Teorii Inf. (Vengr.),4, No. 4, 353–367 (1975).

    Google Scholar 

  79. V. B. Kolmanovskii, “On a problem of control of a gyrostat under random perturbations,” Avtom. Telemekh., No. 11 (1976).

  80. I. A. Kornienko, “Some questions in the theory of operator minimax with applications to the problem of interorbital flight,” Author's Abstract of Candidate's Dissertation, Kazan Aviation Inst. (1974).

  81. I. A. Kornienko, “Sufficient conditions for optimality of control with respect to a vector goal function and the choice of effective solutions,” Tr. Kazan. Aviats. Inst., No. 161, 55–60 (1974).

    Google Scholar 

  82. N. N. Krasovskii, Game Problems on Rendezvous of Trajectories [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  83. N. N. Krasovskii and A. I. Subbotin, Postional Differential Games [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  84. Yu. P. Krivenkov, “Necessary conditions for optimality for a linear problem of the mathematical theory of optimal processes with phase-restrictions,” Novosibirsk (1977).

  85. A. B. Kurzhanskii, Control and Observation Under Conditions of Indeterminacy [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  86. B. D. Lebedev, V. V. Podinovskii, and R. S. Styrikovich, “The problem of optimization with respect to an ordered collection of criteria,” Ekonomika Mat. Metody,7, No. 4, 612–616 (1971).

    Google Scholar 

  87. S. V. Lutmanov, “On an alternative in a differential game of several persons,” Prikl. Mat. Mekh.,41, No. 5, 813–818 (1977).

    Google Scholar 

  88. S. V. Lutmanov, “A theorem on an alternative for a k-person differential game,” Tr. Inst. Mat. Mekh. Uralsk. Nauch. Tsentr Akad. Nauk SSSR, No. 24, 68–76 (1977).

    Google Scholar 

  89. R. D. Lewis and H. Raifa, Games and Solutions [Russian translation], IL, Moscow (1961).

    Google Scholar 

  90. A. N. Maksimov and E. F. Filaretov, “The use of quadratic quality criteria for complex systems,” Izv. Vyssh. Uchebn. Zaved., Str., No. 9, 61–65 (1976).

    Google Scholar 

  91. V. P. Malyukov, “Conflicting interactions of economics in the framework of Leont'ev's model with incomplete information,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 5, 3–10 (1974).

    Google Scholar 

  92. V. M. Marchenko, “Group controllability of dynamical systems,” Vestn. Belorus. Univ., Ser. 1, No. 3, 72–73 (1974).

    Google Scholar 

  93. E. P. Maslov and V. N. Kharchev, “On the comparison of mean-square optimal and optimal strategies of pursuit,” Avtom. Telemekh.,5, 5–13 (1973).

    Google Scholar 

  94. B. S. Metev and I. P. Popchev, “A method of solution of a problem of group choice using metric space relations,” Avtom. Telemekh., No. 2, 81–87 (1977).

    Google Scholar 

  95. D. G. Metreveli, “Necessary and sufficient conditions for effectiveness in vector optimization problems,” Soobshch. Akad. Nauk Gruz.SSR,83, No. 3, 585–588 (1976).

    Google Scholar 

  96. D. G. Metreveli, “On a class of vector optimization problems,” Soobshch. Akad. Nauk Gruz.SSR,84, No. 3, 581–584 (1976).

    Google Scholar 

  97. D. G. Metreveli, “Necessary conditions for optimality in a control problem with vector quality criteria,” Abstracts of Reports of the First Conference of Young Students of Transcaucasia on Automatic Controls, Tbilisi (1977), pp. 3–6.

  98. D. G. Metreveli, “On a vector optimization problem,” Tr. Inst. Sistem. Upr. Akad. Nauk Gruz. SSR,15, No. 1, 94–104 (1976).

    Google Scholar 

  99. B. G. Mirkin, The Problem of Group Choice [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  100. E. F. Mishchenko, M. S. Nikol'skii, and N. Yu. Satimov, “The problem of deviation from rendezvous in many-person differential games,” Tr. Mosk. Inst. Akad. Nauk,143, 105–128 (1977).

    Google Scholar 

  101. E. F. Mishchenko and N. Yu. Satimov, “The problem of deviation from rendezvous in many-person differential games,” in: Materials of the All-Union Symposium on Optimal Controls and Differential Games [in Russian], Metsniereba, Tbilisi (1977), pp. 214–215.

    Google Scholar 

  102. V. S. Molostvov, “Some game problems in systems subjected to random influences,” Author's Abstract of Candidate's Dissertation, Moscow State Univ. (1974).

  103. V. S. Molostvov, “Pareto optimality in some differential games,” Vestn. Mosk. Univ., Mat., Mekh., No. 2, 91–96 (1974).

    Google Scholar 

  104. V. S. Molostvov, “On Pareto strategies in some differential stochastic several-person games,” in: Problems of Analytical Mechanics the Theory of Stability and Controls [in Russian], Nauka, Moscow (1975), pp. 217–221.

    Google Scholar 

  105. V. S. Molostvov and Z. Varga, “Generalized solution of differential games with vector pentalities,” Abstracts of the Fourth All-Union Meeting on Statistical Methods in Control Theory [in Russian], Frunze (1978), pp. 84–85.

  106. V. D. Nogin, “On a vector optimization problem of multistage processes of adoption of a solution,” in: Dynamical Modeling of the Processes of Adoption of Solutions [in Russian], Vladivostok (1976), pp. 111–116.

  107. V. D. Nogin, “A new method of restriction of the domain of compromises,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 5, 10–14 (1976).

    Google Scholar 

  108. V. D. Nogin, “On a problem of multigoal controls,” Abstracts of Reports of the All-Union Conference on the Qualitative Theory of Differential Equations [in Russian], Ryazan (1976), pp. 218–219.

  109. I. F. Ogorodneichuk, E. G. Kunik, A. Ya. Kuzemin, A. G. Osinevskii, and L. A. Golovko, “Methods of multicriterial optimization,” in: Instruments and Automatic Systems [in Russian], Resp. Mezhved. Temat. Nauchno-Tekh. Sb.,27 (1973), pp. 43–54.

    Google Scholar 

  110. L. A. Petrosyan, “Differential games of pursuit,” Author's Abstract of Doctoral Dissertation, Leningrad State Univ. (1971).

  111. L. A. Petrosyan, “Pursuit games with ‘lifelines’ with many participants,” Izv. Akad. Nauk Arm. SSR (Mat.),1, No. 5, 331–340 (1966).

    Google Scholar 

  112. L. A. Petrosyan, “Differential survival games with many participants,” Dokl. Akad. Nauk SSSR,161, No. 2, 285–287 (1965).

    Google Scholar 

  113. L. A. Petrosyan, “Stability of solutions in differential games with many participants,” Vestn. Leningr. Univ., No. 19, 46–52 (1977).

    Google Scholar 

  114. L. A. Petrosyan, “Nonantagonistic differential games,” in: Questions of the Mechanics of Control Processes. Control by Dynamical Systems [in Russian], Vol. 2, Leningr. Univ. (1978), pp. 173–181.

  115. L. A. Petrosyan and N. V. Murzov, “Contract games with many participants,” Vestn. Leningr. Univ.,3, No. 13, 125–129 (1967).

    Google Scholar 

  116. L. A. Petrosyan, “Game-theoretic problems of mechanics,” Lit. Mat. Sb.,6, No. 3, 423–433 (1966).

    Google Scholar 

  117. L. I. Plotnikova, “Some problems of optimal interaction of several controlled objects,” Candidate's Dissertation, Novosibirsk (1972).

  118. L. I. Plotnikova, “On a problem of optimal control. Controlled Systems,” Novosibirsk,6, 36–43 (1970).

    Google Scholar 

  119. L. I. Plotnikova, “Numerical solution of a problem of search for a rendezvous point of several controlled objects,” in: Tr. Inst. Mat. Sib. Otd. Akad. Nauk SSSR,8, 39–42 (1971).

    Google Scholar 

  120. V. V. Podinovskii, “Multicriterial problems with uniform equivalent criteria,” Zh. Vychisl. Mat. Mat. Fiz.,15, No. 2, 330–344 (1975).

    Google Scholar 

  121. V. V. Podinovskii, Methods of Multicriterial Optimization [in Russian], Tr. VIA im. Dzerzhinskogo, Moscow (1971).

    Google Scholar 

  122. V. V. Podinovskii, “Application of the procedure of maximization of a basic local criterion for solving problems of the theory of vectorial optimization,” in: Controlled Systems [in Russian], Vol. 6, Sib. Otd. Akad. Nauk SSSR, Novosibirsk (1970), pp. 17–22.

    Google Scholar 

  123. V. V. Podinovskii, “Effective sequences and their properties,” in: Mathematical Methods in the Social Sciences [in Russian], Vol. 2, Vilnius (1972), pp. 75–88.

    Google Scholar 

  124. V. V. Podinovskii and V. M. Gavrilov, Optimization with Respect to Successively Applied Criteria [in Russian], Sovet-skoe Radio, Moscow (1975), Chap. 4.

    Google Scholar 

  125. L. S. Pontryagin, “On the theory of differential games,” Usp. Mat. Nauk,21, No. 4, 219–274 (1966).

    Google Scholar 

  126. L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko, Mathematical Theory of Optimal Processes [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  127. U. K. Prasad and N. D. Sarma, “Multicriterial problems of optimal control: Nash-Kharsan' game cooperative solutions,” Avtom. Telemekh., No. 6, 95–105 (1975).

    Google Scholar 

  128. N. V. Prodan and I. S. Chebotaru, “On necessary conditions for optimality in games with nonopposite and opposite interests,” in: Studies in Algebra, Mathematical Analysis, and Their Applications. Mathematical Sciences [in Russian], Kishinev (1977), pp. 104–109.

  129. B. N. Pshenichnyi, “Simple pursuit by several objects,” Kibernetika, No. 3, 145–146 (1976).

    Google Scholar 

  130. A. E. Radievskii, “On the existence of solutions of multicriterial synthesis for linear control objects,” in: Sistemy Prom. Kibern. [in Russian], Kiev (1975), pp. 28–32.

  131. B. B. Rikhsiev, “Sufficient conditions for a class of many-person differential games,” Izv. Akad. Nauk UzSSR, Ser. Fiz.-Mat. Nauk, No. 3, 69–70 (1977).

    Google Scholar 

  132. V. E. Ryzhova, “Some problems of control of motion with parametrically given control actions,” Candidate's Dissertation, Moscow State Univ. (1976).

  133. V. E. Ryzhova, “On a problem of control with two criteria,” Nauch. Tr. Inst. Mekh., Mosk. Univ., No. 40, 30–47 (1975).

    Google Scholar 

  134. V. E. Ryzhova, “On a problem of vectorial optimization,” Vestn. Mosk. Univ., Mat., Mekh., No. 4, 119–123 (1976).

    Google Scholar 

  135. M. E. Salukvadze, Problems of Vectorial Optimization in the Theory of Controls [in Russian], Metsniereba, Tbilisi (1975).

    Google Scholar 

  136. M. E. Salukvadze, “On optimization of vector functionals 1, Programmed optimal trajectories. II,” Avtom. Telemekh., No. 8, 5–15 (1971); No. 9, 5–15 (1971).

    Google Scholar 

  137. M. E. Salukvadze, “Vector functionals in linear problems of analytic construction,” Avtom. Telemekh., No. 7, 5–12 (1973).

    Google Scholar 

  138. V. K. Sivtsova, “Application of an integral minimax principle to solve nonsmooth problems of optimal control,” Abstracts of Reports of the Third All-Union Conference on Operations Research, Gorki (1978), pp. 342–343.

  139. S. L. Skerus, “Some coalitional differential games,” Author's Abstract of Candidate's Dissertation, Vilnius State Univ. (1973).

  140. S. L. Skerus and I. P. Yachauskas, “Three-person coalitional differential games,” Lit. Mat. Sb.,11, No. 4, 887–898 (1971); Second All-Union Conference on Game Theory. Abstracts of Reports, Vilnius (1971), pp. 103–105; in: Progress in Game Theory [in Russian], Vilnius (1973), p. 235.

    Google Scholar 

  141. S. L. Skerus and I. P. Yachauskas, “A coalitional n-person game,” Lit. Mat. Sb.,13, No. 2, 163–175 (1973).

    Google Scholar 

  142. S. L. Skerus and I. P. Yachauskas, “A coalitional linear differential game,” in: Mathematical Methods in the Social Sciences [in Russian], Vol. 4, Vilnius (1974), pp. 57–68.

    Google Scholar 

  143. S. L. Skerus and I. P. Yachauskas, “On a cooperative differential game,” Abstracts of the Third All-Union Conference on Game Theory, Odessa (1974), pp. 66–67.

  144. T. V. Slobodinskaya and L. A. Petrosyan, “Simultaneous pursuit games,” in: Mathematical Methods in the Social Sciences [in Russian], Vol. 5, Vilnius (1975), pp. 23–36.

    Google Scholar 

  145. É. R. Smol'yakov, “The concept of solution of an N-person coalitional game with transferability,” Dokl. Akad. Nauk SSSR,210, No. 6, 1290–1292 (1973).

    Google Scholar 

  146. T. Tanabe, “On the choice of an optimal variant of rendezvous with several goals,” in: Control in Space [in Russian], Vol. 2, Nauka, Moscow (1975), pp. 83–94.

    Google Scholar 

  147. T. A. Tadumadze, “Extremal problems with variable lags, characterized by multidimensional quality criteria,” SakartevelosSSR Metsnierebata Akademia Martvis Sistemebis Instituti Shromebi, Tr. Inst. Sistem Upr. Akad. Nauk Gruz. SSR,13, No. 1, 5–28 (1974).

    Google Scholar 

  148. T. A. Tadumadze, “Maximum principle for certain controlled systems of neutral type,” Annotatsii Dokl. Sem. Inst. Prikl. Matm., Tbiliskogo Univ., No. 9, 9–13 (1974).

    Google Scholar 

  149. S. I. Tarlinskii, “On a linear differential game of approach of several controlled objects,” Dokl. Akad. Nauk SSSR,230, No. 3, 534–537 (1976).

    Google Scholar 

  150. N. T. Tynyanskii, “Studies in the theory of duality of nonlinear programming and differential games,” Author's Abstract of Doctoral Dissertation, VTs Akad. Nauk SSSR, Moscow (1969).

    Google Scholar 

  151. N. T. Tynyanskii and V. I. Zhukovskii, “Differential games with nonzero sum (coalition-free variant),” Itogi Nauki i Tekh. VINITI. Ser. Mat. Anal., Moscow,15, 199–266 (1977).

    Google Scholar 

  152. A. M. Formal'skii, “Minimization of impulse and a problem of optimal control with two functionals,” Nauch. Tr. Inst. Mekh. Mosk. Univ., No. 40, 5–29 (1975).

    Google Scholar 

  153. V. D. Furasov, Stability of Motion, Estimates and Stabilization [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  154. V. V. Khomenyuk, Optimal Systems of Control [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  155. I. S. Chebotaru, É. S. Naval, and M. I. Sagaidak, “The maximum principle for an optimal problem,” in: Applications of Mathematics and Programming [in Russian], Vol. 12, Kishinev (1974), pp. 95–103.

    Google Scholar 

  156. F. L. Chernous'ko and V. B. Kolmanovskii, Optimal Controls for Random Perturbations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  157. F. L. Chernous'ko and V. B. Kolmanovskii, “Numerical and approximation methods of optimal control,” Itogi Nauki i Tekh. Mat., Analiz. VINITI Akad. Nauk SSSR,14, 101–166 (1977).

    Google Scholar 

  158. F. L. Chernous'ko and A. A. Melikyan, Game Problems of Control and Search [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  159. A. A. Chikrii, “On a method of escape from several pursuers,” Avtom. Telemekh.,8, 33–37 (1978).

    Google Scholar 

  160. A. A. Chikrii, “Sufficient conditions for escape in nonlinear differential games of several persons,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 6, 22–29 (1978).

    Google Scholar 

  161. A. A. Chikrii, “Pursuit by several controlled objects of an escapee with delay of information on the state of the pursuers,” Preprint Inst. IK Akad. Nauk Ukr. SSR, No. 45, 23–30 (1978).

    Google Scholar 

  162. A. A. Chikrii and I. S. Rappoport, “Problem of approach in a differential game of several persons,” Preprint Inst. Kibern. Akad. Nauk Ukr. SSR, No. 88 (1977).

  163. A. A. Chikrii and I. S. Rappoport, “Linear differntial games of pursuit with the participation of several persons,” Dokl. Akadl Nauk Ukr. SSR, No. 6, 553–556 (1978).

    Google Scholar 

  164. S. V. Chistyakov, “On differential games of N-persons,” in: Mathematical Methods in the Social Sciences [in Russian], Vol. 8, Vilnius (1976), pp. 111–116.

    Google Scholar 

  165. N. P. Shvetsov, “Investigation of a hieratic group differential game,” in: Hieratic Dynamical Systems of Control [in Russian], Naukova Dumka, Kiev (1975), pp. 122–132 (SI Tekh. Kibern.,4, No. 21, 214 (1975).

    Google Scholar 

  166. A. Yu. Shevlyakov, “On a generalized Kalman-Busy equation,” in: Theory of Random Processes [in Russian], Vol. 3, Naukova Dumka, Kiev (1975), pp. 142–149.

    Google Scholar 

  167. Z. M. Shportyuk, “On solutions of a problem of deviation from rendezvous with a coalition of pursuers,” in: Scientific Conference on Computable Mathematics in Contemporary Scientific-Technical Progress [in Russian], Vol. 2, Kanev (1974), pp. 286–289.

    Google Scholar 

  168. K. Arrow, L. Hurwicz, and Kh. Udzawa, Investigation in Linear and Nonlinear Programming [Russian translation], IL, Moscow (1962).

    Google Scholar 

  169. E. B. Yanovskaya, “Optimality criteria in coalition-free games,” in: Progress in the Theory of Games [in Russian], Vilnius (1973), pp. 106–114.

  170. M. Andjelic, “On a matrix Riccati equation of cooperative control,” Int. J. Control,23, No. 3, 427–432 (1976).

    Google Scholar 

  171. A. H. Andry, “Pareto optimality and systems governed by partial differential equations,” Proc. IEEE Conf. Decision and Control included in 15th Symposium on Adaptive Processes, Clearwater, Fla., 1976, New York (1976), pp. 107–110.

  172. M. Aoki and M. T. Li, “Controllability and stabilizability of decentralized dynamic systems,” 14th Joint Automatic Controls Conference, Columbus, Ohio (1973), Preprint of Technical Papers, New York (1973), pp. 278–286.

  173. M. Athans and H. P. Geering, “Necessary and sufficient conditions for differentiable nonscalar-valued functions to attain extrema,” IEEE Trans. Autom. Control,AC-18, No. 2, 132–139 (1973).

    Google Scholar 

  174. E. Bamba, “Constrained optimization under vector-valued performance index,” Systems Control,16, No. 5, 409–418 (1972).

    Google Scholar 

  175. T. Basar, “A new dynamic model for duopoly markets,” in: Proc. Eighth Princeton Conference on Information Sciences and Systems, March, 1974.

  176. G. Basile and T. L. Vincent, “Absolutely cooperative solution for a linear multiplayer differential game,” J. Optimiz. Theory Appl.,6, No. 1, 41–46 (1970).

    Google Scholar 

  177. G. Basile and T. L. Vincent, “On the cooperative game,” Paper presented at the Third Hawaii International Conference on System Sciences, Honolulu, Hawaii (1970).

  178. K. Bergstresser and P. L. Yu, “Domination structures and multicriteria problems in n-person games,” Theory Decision,8, No. 1, 5–48 (1977).

    Google Scholar 

  179. L. J. Billera, “Some recent results in n-person game theory,” Technical Report No. 124, Dept. of Operations Research, Cornell University, Ithaca (1970).

    Google Scholar 

  180. A. Blaquière, “Sur la geometrie des surfaces de Pareto d'un jeu différentiel a N joueres,” C. R. Acad. Sci.,271, No. 15, A744-A746 (1970).

    Google Scholar 

  181. A. Blaquière, Topics in Differential Games, North-Holland, Amsterdam-London, Elsevier, New York (1973).

    Google Scholar 

  182. A. Blaquière and P. Caussin, “Jeux différentiels avec retard, propriétes globales d'une surface du jeu,” C. R. Acad. Sci.,273, No. 5, A326-A328 (1971).

    Google Scholar 

  183. A. Blaquière, “Further topological aspects of vector-valued optimization in multilayer quantitative games,” Proc. IEEE Conference on Decision and Control, 13th Symposium on Adaptive Processes, Phoenix, Arizona, 1974, New York (1974), pp. 373–374.

  184. A. Blaquière and K. E. Wiese, “Some geometric aspects of Pareto surfaces of an n-player differential game,” Proceedings of 4th Hawaii International Conference on Systems Science, Honolulu, Hawaii, 1971, North Hollywood, California (1971), pp. 27–29.

    Google Scholar 

  185. A. Blaquière and K. Wiese, “Jeux qualitatifs multiétages a N-personnes coalitions,” C. R. Acad. Sci.,270, No. 19, A1280-A1282 (1970).

    Google Scholar 

  186. A. Blaquière, K. Wiese, and L. Juricek, “Sur la géométrie des surfaces de Pareto d'un jeu differentiel á N-joueurs, théoréme du maximum,” C. R. Acad. Sci.,A271, No. 20, A1030-A1032 (1970).

    Google Scholar 

  187. A. Blaquière, K. Wiese, and L. Juricek, “Some geometric aspects of Pareto surfaces of an N-player differential game,” in: Proceedings of the Fourth Hawaii International Conference on Systems Science, Honolulu, Hawaii, 1971, North Hollywood, California (1971), pp. 27–29.

    Google Scholar 

  188. A. Blaquière, K. Wiese, and L. Juricek, “Geometry of Pareto equilibria and maximum principle in N-person differential games,” J. Math. Anal. Appl.,38, No. 1, 223–243 (1972).

    Google Scholar 

  189. A. Blaquière, K. Wiese, and L. Juricek, “Geometry of Pareto equilibria in N-person differential games,” in: Topics in Differential Games, New York (1973), pp. 271–310.

  190. A. Blaquière and L. Juricek, “Appendix — an example of duopoly,” in: Differential Games and Related Topics, New York (1971), pp. 74–81.

  191. J. Bonnardeaux, J.-P. Dolait, and J. S. Dyer, “The use of the Nash bargaining model in trajectory selection,” Manag. Sci.,22, No. 7, 766–777 (1976).

    Google Scholar 

  192. J. Bradley and P. L. Yu, “A concept of optimality in differential games,” Int. J. Syst. Sci.,7, No. 2, 157–164 (1976).

    Google Scholar 

  193. G. Bühler, “Die Optimalitätsgleichung bei mehrstufigen Spielen und ihre Lösbarkeit,” Oper. Res.-Verfahren, Vol. 16, Meisenheim (1973), pp. 68–83.

    Google Scholar 

  194. G. Bühler, “Zur Theorie dynamischer nichtcooperativer zwei Personspiele,” Z. Operat. Res.,A-17, No. 3, 143–156 (1973).

    Google Scholar 

  195. J. Case, “Applications of the theory of differential games to economic problems,” in:Differential Games and Related Topics, H. W. Kuhn and G. P. Szego (editors), Elsevier, New York (1971), pp. 345–371.

    Google Scholar 

  196. J. Case, “On some differential games in economics,” MRC Report, No. 874 (1968).

  197. J. Case, “Differential trading games,” in: Topics in Differential Games, New York (1973), pp. 377–400.

  198. J. Case, “A game of advertising strategy,” Proc. IFAC 6th World Congress, Boston-Cambridge, Mass., 1975, Part 1, Pittsburg (1975), 16.3/1–16.3/3.

  199. J. Case, “A problem in international trade,” Proc. First International Conference on the Theory and Applications of Differential Games, Amherst. Mass., 1969, S. 1. s.a. IV/8–IV/12.

  200. J. Case, “Impulsively controlled differential games,” in: Theory and Applications of Differential Games, Dodrecht-Boston (1975), pp. 179–187.

  201. J. Case, “A class of games having Pareto optimal Nash equilibria,” J. Optimiz. Theory Applications,13, No. 3, 379–385 (1974).

    Google Scholar 

  202. L. Cesari and M. B. Suryanarayana, “Existence theorems for Pareto optimization in Banach spaces,” Bull. Am. Math. Soc.,82, No. 2, 306–308 (1976).

    Google Scholar 

  203. S. S. L. Chang, “General theory of optimal processes,” SIAM J. Control, No. 4, 46–55 (1966).

    Google Scholar 

  204. A. Charnes and W. Cooper, Management Models and Industrial Applications of Linear Programming, No. 5, Wiley (1961).

  205. A. Charnes and W. Cooper, “Goal programming and multiple objective optimization. I,” J. Operational Res.,1, No. 1 (1977).

  206. Kai-Ching Chu, “On the noninferior set for the systems with vector-valued objective function,” IEEE Trans. Autom. Control,AC-15, No. 5 (1970).

  207. D. H. Chyung, “Optimal systems with multiple cost functionals,” SIAM J. Control,5, No. 3, 345–350 (1967).

    Google Scholar 

  208. D. H. Chyung, “Time-optimal rendezvous of three linear systems,” J. Optimiz. Theory Appl.,12, No. 3, 242–247 (1973).

    Google Scholar 

  209. S. Clemhout, H. Y. Wan, and G. Leitmann, “A model bargaining under strike the differential game,” View Control Working Paper in Economics, No. 66 (1973).

  210. S. Clemhout, H. Y. Wan, and G. Leitmann, “A differential game of Oligopoly,” Kybernetika,3, No. 1, 24–39 (1973).

    Google Scholar 

  211. S. Clemhout, H. Y. Wan, and G. Leitmann, “Equilibrium patterns for bargaining under strike a differential game model,” in: Proceedings of the Conference on Direction in Decentralized Control, Many Person Optimization, and Large Scale Systems, Plenum Press (1976).

  212. S. Clemhout, H. Y. Wan, and G. Leitmann, “A differential game model of duopoly,” Econometrica,39, No. 6, 911–938 (1971).

    Google Scholar 

  213. S. Clemhout, H. Y. Wan, and G. Leitmann, “Bargaining under strike: a differential game view,” J. Econ. Theory,11, No. 1, 55–67 (1975).

    Google Scholar 

  214. S. Clemhout, H. Y. Wan, and G. Leitmann, “Equilibrium patterns for bargaining under strike a differential game model,” Proc. IFAC 6th World Congress, Boston-Cambridge, Mass., 1975, Part I, Pittsburg, Pa., 1975, 16.5/1–16.5/12.

  215. N. O. da Cunha, “Constrained minimization under vector-valued criteria,” Doctoral Dissertation, Berkley, University of California (1966).

    Google Scholar 

  216. N. O. da Cunha and E. Polak, “Constrained minimization under vector-valued criteria in finite dimensional spaces,” J. Math. Anal. Appl.,19, No. 1, 103–124 (1967).

    Google Scholar 

  217. N. O. da Cunha and E. Polak, “Constrained minimization under vector-valued criteria in linear topological spaces,” in: Math. Theory Control, Academic Press, New York-London (1967), pp. 96–108.

    Google Scholar 

  218. E. P. Cunningham, “The absolute maximum payoff in differential games and optimal control,” J. Optimiz. Theory Appl.,7, No. 4, 248–256 (1971).

    Google Scholar 

  219. E. P. Cunningham, “Differential games with absolute maximum payoff,” Proceedings of the First International Conference on the Theory and Applications of Differential Games, Mass., 1969, S. 1, s.a., III/16–III/17.

  220. P. C. Das and R. R. Sharma, “On optical controls with vector-valued cost functionals,” Rev. Roum. Math. Pures Appl.,16, No. 3, 341–354 (1971).

    Google Scholar 

  221. G. de Menil, “Bargaining; Monopoly power versus union power,” MIT Press, Cambridge, Mass. and London, 1971, Int. J. Game Theory,2, No. 3, 204 (1973).

    Google Scholar 

  222. M. C. Delfour and S. K. Mitter, “Control of hereditary differential systems,” Proc. IFAC 5th World Congress, 1972, Part 4, S. 1., s.a., 36-1/1–36-1/8.

  223. H. W. Kuhn and G. R. Szegö (ed.), Differential Games and Related Topics, North-Holland, Amsterdam (1971).

    Google Scholar 

  224. J. Doležal, “Some properties of nonzero-sum multistage games,” Lect. Notes Comput. Sci.,27, 451–459 (1975).

    Google Scholar 

  225. J. Doležal, “Existence of optimal in general discrete systems,” Kybernetika,1, No. 4, 301–312 (1975).

    Google Scholar 

  226. J. Doležal, “Necessary optimality conditions for N-player nonzerosum multistage games,” Kybernetika,12, No. 4, 268–295 (1976).

    Google Scholar 

  227. C. Dragusin, “Penalty functions in vectorial-optimization criteria,” Bull. Univ. Brason, Sec. C, Mat. Fiz. Chim. Sci. Natur.,16, 25–34 (1974).

    Google Scholar 

  228. N. P. Dwivedi, “Deterministic optimal maneuver strategy for multitarget missions,” J. Optimiz. Theory Appl.,17, No. 1–2, 133–153 (1975).

    Google Scholar 

  229. R. Farquhavson, “Sur une gènéralisation de la notion d'équilibrium,” C. R. Acad. Sci. Paris,240, No. 1, 46–48 (1955).

    Google Scholar 

  230. F. D. Faulkner, “On finding solutions which dominate equilibrium solutions to some N-person differential games,” Lect. Notes Econ. Math. Syst.,106, 155–167 (1974).

    Google Scholar 

  231. P. S. Fishburn, “A study of independence in multivariate utility theory,” Econometrica,37, No. 1 (1969).

  232. M. Freimer and P. L. Yu, “Some new results on compromise solutions for group decision problems,” Manage. Sci.,22, No. 6, 688–693 (1976).

    Google Scholar 

  233. H. P. Geering, “Optimal control theory for non-scalar-valued performance criteria,” Ph. D. Dissertation, Dept. Electr. Eng. MIT, Cambridge (1971).

    Google Scholar 

  234. H. P. Geering and M. Athans, “The infimum principle,” Proc. IEEE Conf. Decision and Control included in 12th Symposium on Adaptive Processes, San Diego, Calif., 1973, New York, 1973, pp. 577–593, IEEE Trans. Autom. Control,19, No. 5, 485–494 (1974).

  235. H. P. Geering and M. Athans, “Optimal control theory for nonscalar-valued performance criteria,” Proc. 5th Annual Princeton Conference on Information Sciences and Systems, 1971. Princeton, s.a. 479–483.

  236. A. M. Geoffrion, “Proper efficiency and the theory of vector maximization,” J. Math. Anal. Appl.,22, No. 3, 618–630 (1968).

    Google Scholar 

  237. V. B. Gindes, “A problem of optimal joint control,” SIAM J. Control,5, No. 2, 222–227 (1967).

    Google Scholar 

  238. V. V. Gorohovik, “The optimization of systems with vector-valued objective functions,” Multivar. Technol. Syst. Proc. Symp. Manchester, 1974, London (1975), S 32-1–S 32-4.

  239. V. Gourishankar and A. Salama, “A technique for solving a class of differential games,” Int. J. Control,15, No. 3, 529–539 (1972).

    Google Scholar 

  240. Yu. P. Gouskov, “Automatic landing as a terminal control problem,” Proc. IFAC 5th World Congr., Paris, 1972, Part 2, Pittsburgh (1971), 19,2/1–19,2/6.

  241. J. D. Grote, “Dynamics of cooperative games,” Int. J. Games Theory,5, No. 1, 27–64 (1976).

    Google Scholar 

  242. J. D. Grote, “Solution sets for N-person games,” in: Theory and Appl. Differential Games, Dordrecht-Boston (1975), pp. 63–75.

  243. P. Hageborn, “Ein Differentialspiel mit zwei Verfolgern und einem Verfolgten,” Z. Angew. Math. Mech.,56, no. 3, Sonderh, 342–345 (1976).

    Google Scholar 

  244. P. Hageborn and J. V. Breakwell, “A differential game with two pursuers and one evader,” J. Optimiz. Theory Appl.,18, No. 1 15–29 (1976). Muliciber Decis. Mak. and Differ. Games, New York-London (1976), pp. 443–457.

    Google Scholar 

  245. A. Haurie, “Jeux quantitatifs multiétages a N-joueurs equilibries de Nash, Pareto-optimalité, C-optimalité,” Rev. CETHEDEC,9, No. 30, 83–108 (1972).

    Google Scholar 

  246. A. Haurie, “On Pareto optimal decisions for a coalition of subset of players,” IEEE Trans. Autom. Control,AC-18, No. 2, 144–149 (1973).

    Google Scholar 

  247. A. Haurie, “Optimalite dans un système multicritère et perturbe avec application à des systèmes de commande linéaires à couts quadratiques,” Ref. Franc. Automat. Inform. Rech. Oper.,7, No. R-2, 91–105 (1973).

    Google Scholar 

  248. A. Haurie, “Jeux quantitatifs a M-joueurs,” Doctoral Dissertation, Paris (1970).

  249. A. Haurie, “A note on nonzero-sum differential games with bargaining solution,” J. Optimiz. Theory Appl.,18, No. 1, 31–39 (1976).

    Google Scholar 

  250. A. Haurie and I. L. Goffin, “Necessary conditions and sufficient conditions for Paretooptimality in a Multicriterion perturbed system,” Proc. 5th IFIP Conference on Optimization Techniques, Rome, 1973.

  251. A. Haurie and M. C. Deflour, “Individual and collective rationality in a dynamic Pareto equilibrium,” J. Optimiz. Theory Appl.,13, No. 3, 290–302 (1974).

    Google Scholar 

  252. M. Hisashi and S. Harunori, “A method of determining characteristic functions for cooperative differential games without side payment,” Mem. Fac. Eng. Kyoto Univ.,38, No. 4, 169–181 (1976).

    Google Scholar 

  253. Y. C. Ho, “Differential games, dynamic optimization, and generalized control theory,” J. Optimiz. Theory Appl.,6, No. 3, 179–209 (1976).

    Google Scholar 

  254. Y. C. Ho, “Comment on a paper by J. Medanic and M. Andjelic,” J. Optimiz. Theory Appl.,10, No. 3, 187–189 (1972).

    Google Scholar 

  255. S. C. Huang, “Note on the mean-square strategy-for vector-valued objective functions,” J. Optimiz. Theory Appl.,9, No. 5, 364–366 (1972).

    Google Scholar 

  256. S. C. Huang, “Optimal control problems with vector-valued criterion function,” IEEE Conference on Decis. and Contr. (Incl. 10th Symp. Adapt. Process), Miami Beach, 1971. New York (1971), pp. 462–463.

  257. G. P. Huber, “Multiattribute utility models: a review of field and fieldlike studies,” Manage. Sci.,20, No. 10, 1393–1402 (1974).

    Google Scholar 

  258. L. Juricek, “Games with coalition,” in: Topics in Differential Games, New York (1973), pp. 311–344.

  259. L. Juricek, “Jeux differentiels à N-joueurs cooperatifs et non cooperatifs,” Thèse doct. sci., Univ. Paris (1972).

  260. L. Juricek and K. Wiese, “Sur la gèomètrie des surfaces de Pareto d'un jeux differentiel à N-joueurs; theoreme du maximum,” C. R. Acad. Sci.,A271, No. 20, 1030–1032 (1970).

    Google Scholar 

  261. S. J. Kahne, “Optimal cooperative state rendezvous and Pontryagin's maximum principle,” Int. J. Control,2, No. 5, 425–431 (1965).

    Google Scholar 

  262. E. Kalai, “Excess functions for cooperative games without side-payments,” SIAM J. Appl. Math.,29, No. 1, 60–71 (1975).

    Google Scholar 

  263. Tamura Katsutoshi, “Linear optimal problems with a vector-valued performance index,” Trans. Soc. Instrum. Control Eng.,10, No. 6, 749–755 (1974).

    Google Scholar 

  264. H. J. Kimura, Soc. Instrum. Control Eng.,10, No. 9, 637–660 (1971).

    Google Scholar 

  265. A. Klinder, “Vector-valued performance criteria,” IEEE Trans. Autom. Control,AC-9, No. 1, 117–118 (1964).

    Google Scholar 

  266. Toshiro Kobayashi and Yoshikazu Sawaragi, “Distributed parameter differential games,” Syst. Control,18, No. 2, 101–111 (1974).

    Google Scholar 

  267. A. J. Koivo, “On a differential game with three players,” Proc. Int. Conf. Theory and Appl. Differential Games, Amherst, Mass. 1969, s.1, s.a. VIII/18–VIII/19.

  268. A. J. Koivo and D. W. Repperberger, “Optimization of terminal rendezvous as a cooperative game,” 12th Joint Automatic Control Conference of the American Automatic Controls Council, St. Louis, Mo., 1971, Prepr.techn. pap., New York (1971), pp. 508–516.

  269. O. Kolbe and P. Sagirow, “Ein optimales Rendezvous zweier aktiver Flugkörper,” Z. Angew. Math. Mech.,48, 8, Sonderh., 269–271 (1968).

    Google Scholar 

  270. N. J. Kirikelis, “A linearization method in N-person nonzero-sum differential games,” J. Optimiz. Theory Appl.,9, No. 5, 359–363 (1972).

    Google Scholar 

  271. N. J. Krikelis and Z. V. Rekasius, “On the solution of the optimal linear control problems under conflict of interest,” IEEE Trans. Autom. Control,16, No. 2, 140–147 (1971).

    Google Scholar 

  272. A. B. Kurzhanskii and M. I. Gusev, “On multicriteria solutions in game-theoretic problems of control,” IIASA Workshop on Decision Making with Multiple Objectives, Vienna, 1975, 2, 51–67.

  273. B. Kyrtavan, “Dynamic two-person two-objective control problems with delayed sharing information pattern,” IEEE Trans. Autom. Control,22, No. 4, 659–661 (1977).

    Google Scholar 

  274. B. Lantos, “Necessary conditions for the optimallty in optimum control problem with nonscalar-valued performance criterion,” in: Problems of Control and Information Theory, No. 3, 1033–1040 (1976).

    Google Scholar 

  275. J. J. Lawser and R. A. Volz, “A nonzero-sum differential game with curious solution properties,” IEEE Trans. Autom. Control,17, No. 5, 717–718 (1972).

    Google Scholar 

  276. J. J. Lawser and R. A. Volz, “Some aspects of nonzero-sum differential games,” IEEE Trans. Autom. Control,16, No. 1, 66–69 (1971); Proc. First International Conference on the Theory and Applications of Differential Games, Amherst, Mass., 1969, S.1., s.a., IV/ 19–IV/22.

    Google Scholar 

  277. A. L. Leatham and G. M. Anderson, “A class of nonzero-sum differential games with open-loop,” Proc. 4th Haw. Int. Conf. Syst. Sci., Honolulu, Hawaii, 1971. North Hollywood, Calif. (1971), pp. 199–241.

    Google Scholar 

  278. G. Leitmann, Cooperative and Noncooperative Many Players Differential Games, Springer-Verlag, Vienna (1974).

    Google Scholar 

  279. G. Leitmann, “Many player differential games,” Proc. of Workshop of Differential Games. Twente Univ., Enschede, Holland, Springer-Verlag (1977).

    Google Scholar 

  280. G. Leitmann, “Collective bargaining: a differential game,” J. Optimiz. Theory Appl.,11, No. 4, 405–412 (1973).

    Google Scholar 

  281. G. Leitmann, “Cooperative and noncooperative differential games,” in: Theory and Applications of Differential Games, Dordrecht-Boston (1975), pp. 85–96.

  282. G. Leitmann and P. T. Liu, “A differential game model of labor-management negotiation during a strike,” J. Optimiz. Theory Appl.,13, No. 4, 427–435 (1974).

    Google Scholar 

  283. G. Leitmann and P. T. Liu, “A differential game model of labor-management negotation during a strike,” J. Optimiz. Theory Appl.,14, No. 4, 443–444 (1974).

    Google Scholar 

  284. G. Leitmann and S. Rocksin, “The effect of playbility in differential games on the relation between best guaranteed costs and saddlepoint values,” J. Optimiz. Theory Appl.,15, 509–516 (1975).

    Google Scholar 

  285. G. Leitmann, S. Rocksin, and T. Vinsent, “A note on control space properties of cooperative games,” J. Optimiz. Theory Appl.,9, No. 6, 379–390 (1972).

    Google Scholar 

  286. G. Leitmann and W. Schmitendorf, “Some sufficiency conditions for Paretooptimal control,” 13th Joint Autom. Contr. Conf. Am. Automat. Contr. Counc., Stanford, Calif., 1972. Prepr. Techn. Pap. New York, 1972, 1–7.

  287. G. Leitmann and P. L. Yu, “Compromise solutions, domination structures and Salukvadze's solution,” J. Optimiz. Theory Appl.,13, No. 3, 362–378 (1974).

    Google Scholar 

  288. G. Leitmann and P. L. Yu, “Nondominated decisions and cone convexity in dynamic multicriteria decision problems,” J. Optimiz. Theory Appl.,14, No. 5, 573–584 (1974).

    Google Scholar 

  289. G. Leitmann and W. Stadler, “Cooperative games for the experimentalist,” Zag. drgan nielin.,15, 273–285 (1974).

    Google Scholar 

  290. P. Levine, “Strategic ‘prejndsments’ and decision criteria in N-person games,” in: Theory and Application Differential Games, Dordrecht-Boston (1975), pp. 121–132.

  291. J. G. Lin, “Proper equality constraints and maximization on index vectors,” J. Optimiz. Theory Appl.,20, No. 2, 215–244 (1976).

    Google Scholar 

  292. Pan-Tai Liu, “Optimal threat strategies in differential games,” J. Math. Anal. App.,43, No. 1, 161–169 (1973).

    Google Scholar 

  293. Pan-Tai Liu, “Nonzero-sum differential games with bargaining solutions,” J. Optimiz. Theory Appl.,11, No. 3, 284–292 (1973).

    Google Scholar 

  294. W. F. Lucas, “Some recent developments in n-person game theory,” SIAM Rev.,13, No. 4, 491–523 (1971).

    Google Scholar 

  295. W. F. Lucas, “An overview of the mathematical theory of games,” Manag. Sci.,18, No. 5, part 2, 3–19 (1972).

    Google Scholar 

  296. W. F. Lucas, “A game with no solution,” Bull. Am. Soc.,74, No. 2, 237–239 (1968).

    Google Scholar 

  297. E. Marchi, “E-points of games,” Proc. Nat. Acad. Sci. USA,57, No. 4, 878–882 (1967).

    Google Scholar 

  298. E. Marchi, “A class of games that evolve,” Z. Wahr. Verw. Geb.,18, No. 4, 271–280 (1971).

    Google Scholar 

  299. L. Markus, “Catastrophe theory in differential games,” in: Theory and Applications of Differential Games, Dordrecht-Boston (1975), pp. 301–310.

  300. J. Medanic and M. Andjelić, “Minimax solution of the multiple-target problem,” IEEE Trans. Autom. Control,17, No. 5, 597–604 (1972).

    Google Scholar 

  301. J. Medanic and M. Andjelić, “On a class of differential games without saddlepoint solutions,” J. Optimiz. Theory Appl.,8, No. 6, 413–430 (1971).

    Google Scholar 

  302. J. Medanic and M. Andjelić, “Convex approximation of the solution of the matrix Riccati equation,” IEEE Trans. Autom. Control,20, No. 2, 234–238 (1975).

    Google Scholar 

  303. Meski Muncer, “A new approach to the ‘inverse problem of optimal control theory’ by generalized performance index (GPI),” 14th J. Autom. Control Conf., Columbus, Ohio, 1973, Prepr. Tech. pap. New York, 1973, pp. 686–691.

  304. P. Michel, “Condition nécessaire d'optimalité de Pareto pour un systéme á commande,” C. R. Acad. Sci.,280, A1397–1399 (1975).

    Google Scholar 

  305. Multicriteria Decision Making and Differential Games, G. Leitmann (ed.), Plenum Press, New York-London (1976).

    Google Scholar 

  306. R. Muralidharan and Y. C. Ho, “A piecewise-closed formalgorithm for a family of minimax and vector criteria problems,” IEEE Trans. Autom. Control,20, No. 3, 381–385 (1975).

    Google Scholar 

  307. J. Nash, “Two-person cooperative games,” Econometrica,21, 128–140 (1953).

    Google Scholar 

  308. W. L. Nelson, “On the use of Optimization Theory for practical control system design,” IEEE Trans. Autom. Control,AC-9, No. 4, 469–477 (1964).

    Google Scholar 

  309. L. W. Neustadt, “A general theory of extremals,” J. Comput. Syst. Sci., No. 3, 57–92 (1969).

    Google Scholar 

  310. G. Olech, “Existence theorems for optimal problems with vector-valued cost function,” Trans. Am. Math. Soc.,136, 159–180 (1969).

    Google Scholar 

  311. V. Pareto, Course d'Economie Politique, Lauranue, Rouge (1896).

    Google Scholar 

  312. M. Philippe, “Condition nécessaire d'optimalité de Pareto pour un système á commande,” C. R. Acad. Sci.,280, No. 20, A1397-A1399 (1975).

    Google Scholar 

  313. R. Perez and C. C. Li, “Performance sensitivity of linear quadratic two-person differential games,” Proc. 5th Annu. Princeton Conference on Inform. Sci. and Syst., 1971, Princeton, New Jersey, s.a., 486.

  314. K. Pitter, “Optimization theory in linear spaces. I,” Math. Ann.,182, 182 (1969); II. Math. Ann.,183, 200 (1969); III. Math. Ann.,184, 133 (1969).

    Google Scholar 

  315. S. R. Plisha, “Multiperson controlled diffusions,” SIAM J. Control,11, No. 4, 563–586 (1973).

    Google Scholar 

  316. V. R. Prasad, “N-person differential games and multicriterion optimal control problems,” Ph. D. Thesis, Department of Electrical Engineering, Indian Institute of Technology, Kaneur (1969).

    Google Scholar 

  317. V. R. Prasad and I. G. Sarma, “Theory of N-person differential games,” Proc. 1st Int. Conf. Theory and Applic. Different. Games, Amherst, Mass., 1969, S.1., s.a., viii/12–viii/17.

  318. V. R. Prasad and I. G. Sarma, “Stochastic multicriterion optimal control problems,” Proc. IEEE Symp. Adap. Processes (9th) Decis. and Contr., Austin, Texas, 1970. New York (1970), XV15/1–XV15/5.

  319. G. Pravin, “N-player stochastic differential games,” SIAM J. Control, Optimiz.,14, No. 3, 538–545 (1976).

    Google Scholar 

  320. Z. V. Rekasius and W. E. Schmitendorf, “On the noninferiority of Nash equilibrium solutions,” IEEE Trans. Autom. Control,16, No. 2, 170–173 (1971).

    Google Scholar 

  321. Z. V. Rekasius and W. E. Schmitendorf, “Comments on On the noninferiority of Nash equilibrium solutions,” IEEE Trans. Autom. Control, AC-17 (1972).

  322. H. Rommelfanger, “Ein Verfahren zur Lösung Dynamischer N-Personensuperspiele,” Proc. Operat. Res., Wurzburg-Wien, 181–189 (1973).

  323. A. P. Sage, “On gradient methods for optimization of differential game strategies,” SWIEEE Co Rec. Techn. Pap. 22nd Annu. Southwest, IEEE Conf. and Exhibit., Dallas, Texas, 1970, New York, 1970, pp. 188–191.

  324. M. Sakawa, “An approximate solution of linear multicriteria control problems through the multicriteria simplex method,” J. Optimiz. Theory Appl.,22, No. 3, 417–427 (1977).

    Google Scholar 

  325. M. Sakawa and Y. Sawaragi, “Multiple-objective optimization for environment development systems,” Int. J. Syst. Sci.,6, No. 2, 157–164 (1975).

    Google Scholar 

  326. M. Sakawa and Y. Sawaragi, “Multiple-criteria optimization of pollution control model,” Int. J. Syst. Sci.,6, No. 8, 741–748 (1975).

    Google Scholar 

  327. M. Sakawa and Y. Sawaragi, “Multiple-criteria optimization for environment development system —constrained case,” Mem. Fac.Eng. Kyoto Univ.,37, No. 3, 176–183 (1975).

    Google Scholar 

  328. M. Sakawa and Yoshikatsu Ueda, “The optimal control of environmental pollution and economic growth,” Trans. Soc. Instrum. Control Eng.,13, No. 2, 194–199 (1977).

    Google Scholar 

  329. A. I. Salama, “Optimization of systems with several cost functionals,” Ph. D. Dissertation, Dept. of Electr. Eng., Univ. of Alberta, Edmonton, Canada (1970).

    Google Scholar 

  330. A. I. Salama and V. Gourishankar, “Optimization of a deterministic system with two control functions and several cost functionals,” Proc. 4th Haw. Int. Conf. Syst. Sci., Honolulu, Haw., 1971, North Hollywood, Calif., 1971, pp. 371–373.

    Google Scholar 

  331. A. I. Salama and V. Gourishankar, “Optimal control of systems with a single control and several cost functionals,” Int. J. Control,14, No. 4, 705–725 (1971).

    Google Scholar 

  332. M. E. Salukvadze, “On optimization of control systems according to vector-valued performance criteria,” Proc. IFAC 5th World Contr., 1972, Part 4, S.1., s.a., 40-5/1–40-5/7.

  333. M. E. Salukvadze, “On the existence of solutions in problems of optimization under vector-valued criteria,” J. Optimiz. Theory Appl.,13, No. 2, 203–207 (1974).

    Google Scholar 

  334. I. G. Sarma, U. R. Prasad, and R. K. Ragade, “Necessary conditions for optimal strategies in a class of noncooperative N-person differential games,” SIAM J. Contr.,7, No. 4, 637–644 (1969).

    Google Scholar 

  335. I. G. Sarma and R. K. Ragade, “Some considerations in formulating optimal control problems as a differential games,” Int. J. Control,4, No. 3, 264–279 (1966).

    Google Scholar 

  336. M. A. Save, “A general criterion for optimal structural design,” J. Optimiz. Theory Appl.,15, No. 1, 119–129 (1975).

    Google Scholar 

  337. W. E. Schmitendorf and G. Leitmann, “A simple derivation of necessary conditions for Pareto optimality,” IEEE Trans. Autom. Control,19, No. 5, 601–602 (1974).

    Google Scholar 

  338. W. E. Schmitendorf and J. A. Walker, “On the equivalence of some necessary conditions for vector-valued criteria problems,” IEEE Trans. Autom. Control,18, No. 6, 664–665 (1973).

    Google Scholar 

  339. W. E. Schmitendorf, “Cooperative games and vector-valued criteria problems,” Proc. IEEE Conf. Decis. and Control and 11th Symp. Adapt. Proc., New Orleans, La., 1972, New York, 1972, pp. 340–344.

  340. Naresh K. Sinha, “Reduction of the sensitivity of optimal control systems by using two degrees of freedom,” Sensitivity Adaptivity and Optimality. Proc. 3rd IFAC Symp. Ischia, 1973. Pittsburgh, Pa., 1973, pp. 267–270.

  341. K. Spremann, “Über Vektormaximierung und Analyse der Gewichtung von Subzielen,” in: Lect. Notes Econ. Math. Syst.,117 (1976), pp. 283–296.

    Google Scholar 

  342. W. Stadler, “Sufficient conditions for preference optimality,” in: Multicriter. Decision Mak. and Differential Games, New York-London (1976), pp. 129–148.

  343. H. L. Stalford, “Criteria for Paretooptimality in cooperative differential games,” J. Optimiz. Theory Appl.,9, No. 6, 391–398 (1972).

    Google Scholar 

  344. H. L. Stalford, “Sufficient conditions for optimal control with state and control constraints,” J. Optimiz. Theory Appl.,7, No. 2, 118–135 (1971).

    Google Scholar 

  345. A. W. Starr, “Nonzero-sum differential games. Concepts and models,” Harvard University, Division of Engineering and Applied Physics, Technical Report, No. 590, May, 1969.

  346. A. W. Starr and Y. C. Ho, “Nonzero-sum differential games,” J. Optimiz. Theory Appl.,3, No. 3, 184–204 (1969).

    Google Scholar 

  347. A. W. Starr and Y. C. Ho, “Further properties of nonzero-sum differential games,” J. Optimiz. Theory Appl.,3, No. 4, 207–219 (1969).

    Google Scholar 

  348. R. I. Stern and Adi Ben-Israel, “An inferior penalty function method for the construction of efficient point in a multicriteria control problem,” J. Math. Anal. Appl.,46, No. 3, 768–776 (1974).

    Google Scholar 

  349. C. S. Tapiero and J. V. Farley, “Optimal control of sales force effort in time,” Manage. Sci.,21, No. 9, 976–985 (1975).

    Google Scholar 

  350. R. M. Thrall, “Game theory and some interfaces with control theory,” Lect. Notes Econ. Math. Syst.,105, 310–391 (1974).

    Google Scholar 

  351. P. Varaiya, “N-player stochastic differential games,” SIAM J. Control Optimiz.,14, No. 3, 538–545 (1976).

    Google Scholar 

  352. P. Varaiya, “N-person stochastic differential games,” in: Theory and Appl. Differ. Games, Dordrecht-Boston (1975), pp. 97–107.

  353. Z. Varga, “Least-squares solution for N-person multicriteria differential games,” Ann. Univ. Sci., Budapest. Sec. Math.,21, 139–148 (1978).

    Google Scholar 

  354. V. V. Velichenko, “Sufficient conditions for absolute minimum of the maximal functional in the multicriterial problem of optimal control,” Lect. Notes Comput. Sci.,27, 220–225 (1975).

    Google Scholar 

  355. T. L. Vincent and G. Leitmann, “Control-space properties of cooperative games,” J. Optimiz. Theory Appl.,6, No. 2, 91–113 (1970).

    Google Scholar 

  356. F. M. Walts, “An engineering approach to hierarchical optimization criteria,” IEEE Trans. Autom. Control,AC-12, No. 2, 179–180 (1967).

    Google Scholar 

  357. Y. H. Wan, “On local Paretooptima,” J. Math. Econ.,2, No. 1, 35–42 (1975).

    Google Scholar 

  358. E. R. Weintraub and M. G. Myers, “A dynamic model of firm entry,” Rev. Econ. Stud.,38, No. 1, 127–129 (1971).

    Google Scholar 

  359. R. E. Wendell and D. N. Lee, “Efficiency in multiple objective optimization problems,” Math. Program., No. 12, 406–414 (1977).

    Google Scholar 

  360. P. L. Yu, “A class of solutions for group decision problems,” Center for System Science, 71-06, Graduate School of Management, Univ. of Rochester, New York (1972).

    Google Scholar 

  361. P. L. Yu, “Introduction to domination structures in multicriteria decision problems.” System Analysis Program., Working Paper Series No. F-7219, Graduate School of Management, Univ. of Rochester, New York (1972).

    Google Scholar 

  362. P. L. Yu, “Nondominated investment policies in stock markets (including an empirical study),” System Analysis Program., Working Paper Series No. F-7222, Graduate School of Management, University of Rochester, New York (1972).

    Google Scholar 

  363. P. L. Yu, “Cone convexity, cone extreme points and nondominated solution in decision problems with multiobjectives,” Center for System Science 72-02, Graduate School of Management, University of Rochester, New York (1972).

    Google Scholar 

  364. P. L. Yu, “Cone convexity, cone extreme points and nondominated solution in decision problems with multiobjectives,” J. Optimiz. Theory Appl.,14, No. 3, 319–377 (1974).

    Google Scholar 

  365. P. L. Yu, “A class of solutions for group decision problems,” Manage. Sci.,19, No. 8, 936–946 (1973).

    Google Scholar 

  366. P. L. Yu and G. Leitmann, “Confidence structures in decision making,” IFAC Symp. on Large Scale Systems, Udine, 1976.

  367. P. L. Yu and G. Leitmann, “Nondominated decisions and cone convexity in dynamic multicriteria decision problems,” J. Optimiz. Theory Appl.,14, No. 5, 573–584 (1974).

    Google Scholar 

  368. P. L. Yu and G. Leitmann, “Compromise solutions, domination structures and Salukvadze's solution,” J. Optimiz. Theory Appl.,18, No. 4, 119–140 (1976).

    Google Scholar 

  369. L. A. Zadeh, “Optimality and nonscalar-valued performance criteria,” IEEE Trans. Autom. Control.,AC-8, No. 1, 59–60 (1963).

    Google Scholar 

  370. M. Zeleng, MCDM Bibliography, 1975, Lect. Notes Econ. Math. Syst.,123, 291–321 (1976).

    Google Scholar 

  371. A. Zieba, “An example of pursuit theory,” Stud. Math.,22, No. 1, 1–6 (1962).

    Google Scholar 

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Translated from Itogi Nauki i Tekhniki, Matematicheskii Analiz, Vol. 17, pp. 3–112, 1979.

The authors thank V. V. Al'sevich, É. M. Vaishbord, Z. Varga, V. V. Velichenko, V. V. Gorokhovik, V. I. Zabotin, A. F. Kanonenko, V. B. Kolmanovskii, I. A. Kornienko, O. A. Malafeev, V. S. Molostvov, V. V. Morozov, V. V. Podinovskii, V. E. Ryzhova, M. E. Salukvadze, S. V. Chistyakov for comments, many of which were taken into account in the final formulation of the manuscript.

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Tynyanskii, N.T., Zhukovskii, V.I. Differential games with nonzero sum (cooperative variant). J Math Sci 15, 369–438 (1981). https://doi.org/10.1007/BF01375562

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