Existence of Saddle Points in Differential Games

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Previous article Next article Existence of Saddle Points in Differential GamesP. Varaiya and Jiguan LinP. Varaiya and Jiguan Linhttps://doi.org/10.1137/0307011PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] W. H. Fleming, A note on differential games of prescribed durationContributions to the theory of games, vol. 3, Annals of Mathematics Studies, no. 39, Princeton University Press, Princeton, N.J., 1957, 407–412 MR0094765 0078.33301 Google Scholar[2] P. P. Varaiya, On the existence of solutions to a differential game, SIAM J. Control, 5 (1967), 153–162 10.1137/0305009 MR0210472 0154.09901 LinkGoogle Scholar[3] E. Roxin, On Varaiya's definition of a differential game, presented at the U.S.-Japan Seminar on Differential and Functional Equations, Minneapolis, 1967 Google Scholar[4] Wendell H. Fleming, The convergence problem for differential games, J. Math. Anal. Appl., 3 (1961), 102–116 10.1016/0022-247X(61)90009-9 MR0142414 0113.14705 CrossrefGoogle Scholar[5] C. Ryll-Nardzewski, A theory of pursuit and evasionAdvances in Game Theory, Princeton Univ. Press, Princeton, N.J., 1964, 113–126 MR0198989 CrossrefGoogle Scholar[6] D. Eggert and , P. Varaiya, Representation of a differential system, Memo M 177, Electronic Research Laboratory, University of California, Berkeley; J. Differential Equations Google Scholar[7] Emilio Roxin, The existence of optimal controls, Michigan Math. J., 9 (1962), 109–119 10.1307/mmj/1028998668 MR0136844 0105.07801 CrossrefGoogle Scholar[8] Wendell H. Fleming, The convergence problem for differential games. IIAdvances in game theory, Princeton Univ. Press, Princeton, N.J., 1964, 195–210 MR0169702 CrossrefGoogle Scholar[9] Gerald S. Goodman, On a theorem of Scorza-Dragoni and its application to optimal control.Mathematical Theory of Control (Proc. Conf., Los Angeles, Calif., 1967), Academic Press, New York, 1967, 222–233 MR0256238 0228.49010 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On Reachability Under Uncertainty26 July 2006 | SIAM Journal on Control and Optimization, Vol. 41, No. 1AbstractPDF (287 KB)Pursuit Differential Games with State Constraints26 July 2006 | SIAM Journal on Control and Optimization, Vol. 39, No. 5AbstractPDF (193 KB)Lion and Man: The Boundary Constraint18 July 2006 | SIAM Journal on Control, Vol. 11, No. 3AbstractPDF (1212 KB) Volume 7, Issue 1| 1969SIAM Journal on Control History Submitted:14 March 1968Published online:18 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0307011Article page range:pp. 141-157ISSN (print):0036-1402Publisher:Society for Industrial and Applied Mathematics

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