Stability of the Gradient Process in n-Person Games

Previous article Next article Stability of the Gradient Process in n-Person GamesKenneth J. Arrow and Leonid HurwiczKenneth J. Arrow and Leonid Hurwiczhttps://doi.org/10.1137/0108016PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout1 Kenneth J. Arrow, , Leonid Hurwicz and , Hirofumi Uzawa, Studies in linear and non-linear programming, With contributions by H. B. Chenery, S. M. Johnson, S. Karlin, T. Marschak, R. M. Solow. Stanford Mathematical Studies in the Social Sciences, vol. II, Stanford University Press, Stanford, Calif., 1958vii+229 MR0108399 0091.16002 Google Scholar2 Augustin Cournot, Researches into the Mathematical Principle of the Theory of Wealth(1838), McMillan, New York, 1897, translation by Nathaniel T. Bacon, with a bibliography of mathematical economics , by Irving Fisher Google Scholar3 H. W. Kuhn and , A. W. Tucker, J. Neyman, Nonlinear programming, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 1950, University of California Press, Berkeley and Los Angeles, 1951, 481–492 MR0047303 0044.05903 Google Scholar4 John F. Nash, Jr., Equilibrium points in n-person games, Proc. Nat. Acad. Sci. U. S. A., 36 (1950), 48–49 MR0031701 0036.01104 CrossrefISIGoogle Scholar5 Paul A. Samuelson, Market mechanisms and maximization, RAND report No. P-69, The RAND Corp., Santa Monica, Calif., 1949, March 28 Google Scholar6 Abraham Wald, On some systems of equations of mathematical economics, Econometrica, 19 (1951), 368–403, (Translation from Uber einige Glei-chungssysteme der mathematischen Okonomie, Z. National 6konomie, 7(1936), pp. 637–670.) MR0044097 0043.35004 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Volume 8, Issue 2| 1960Journal of the Society for Industrial and Applied Mathematics History Submitted:12 February 1959Published online:10 July 2006 InformationCopyright © 1960 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0108016Article page range:pp. 280-294ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics