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Values in differential games


Author: John M. Danskin
Journal: Bull. Amer. Math. Soc. 80 (1974), 449-455
MSC (1970): Primary 90D25
MathSciNet review: 0332203
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  • 1. John M. Danskin, Values in differential games, Transactions of the Nineteenth Conference of Army Mathematicians (U.S. Army Training Device Agency, Naval Training Equipment Center, Orlando, Fla., 1973), U.S. Army Research Office (Durham), Durham, N.C., 1973, pp. 1137–1145. U.S. Army Research Office (Durham), Report No. 73-3. MR 0384188
  • 2. Robert J. Elliott and Nigel J. Kalton, Values in differential games, Bull. Amer. Math. Soc. 78 (1972), 427–431. MR 0295775, 10.1090/S0002-9904-1972-12929-X
  • 3. Robert J. Elliott and Nigel J. Kalton, The existence of value in differential games, American Mathematical Society, Providence, R.I., 1972. Memoirs of the American Mathematical Society, No. 126. MR 0359845
  • 4. Wendell H. Fleming, The convergence problem for differential games, J. Math. Anal. Appl. 3 (1961), 102–116. MR 0142414
  • 5. Wendell H. Fleming, The convergence problem for differential games. II, Advances in game theory, Princeton Univ. Press, Princeton, N.J., 1964, pp. 195–210. MR 0169702
  • 6. Avner Friedman, Differential games, Wiley-Interscience [A division of John Wiley & Sons, Inc.], New York-London, 1971. Pure and Applied Mathematics, Vol. XXV. MR 0421700
  • 7. Hans Rademacher, Über partielle und totale Differenzierbarkeit von Funktionen mehrer Variabeln und über die Transformationen der Doppelintegrale. I, II, Math. Ann. 79 (1919), 340-359; ibid 81 (1920), 52-63.
  • 8. Emilio Roxin, Axiomatic approach in differential games, J. Optimization Theory Appl. 3 (1969), 153–163. MR 0243846
  • 9. P. P. Varaiya and J. Lin, Existence of saddle points in differential games, University of California at Berkeley, Electronics Research Laboratory, Memorandum No. ERL-M241, 1969.
  • 10. J. Warga, Optimal control of differential and functional equations, Academic Press, New York-London, 1972. MR 0372708
  • 11. R. J. Elliott and N. J. Kalton, Upper values of differential games, J. Differential Equations 14 (1973), 89–100. MR 0337350

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DOI: https://doi.org/10.1090/S0002-9904-1974-13446-4