Previous article Next article A Game in Partition Function Form with no SolutionW. F. LucasW. F. Lucashttps://doi.org/10.1137/0116046PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Riceard L. Eisenman, Masters Thesis, On solutions of alliance games, Doctoral dissertation, University of Michigan, Ann Arbor, 1964 Google Scholar[2] William F. Lucas, Solutions for four-person games in partition function form, J. Soc. Indust. Appl. Math., 13 (1965), 118–128 10.1137/0113008 MR0180398 0221.90050 LinkISIGoogle Scholar[3] William F. Lucas, Solutions for a class of n-person games in partition function form, Naval Res. Logist. Quart., 14 (1967), 15–21 MR0211762 0154.20203 CrossrefGoogle Scholar[4] R. E. Stearns, M. Dresher, , L. S. Shapley and , A. W. Tucker, Three-person cooperative games without side paymentsAdvances in game theory, Princeton Univ. Press, Princeton, N.J., 1964, 377–406, Annals of Mathematical Studies, no. 52 MR0169704 0125.38103 CrossrefGoogle Scholar[5] R. E. Stearns, W. F. Lucas, A game without side payments that has no solution, Abstract from Report of the Fifth Conference on Game Theory, Princeton University, Princeton, 1965 Google Scholar[6] R. M. Thrall and , W. F. Lucas, n-person games in partition function form, Naval Res. Logist. Quart., 10 (1963), 281–298 MR0169703 0229.90056 CrossrefGoogle Scholar[7] John von Neumann and , Oskar Morgenstern, Theory of Games and Economics Behavior, Princeton University Press, Princeton, 1953 Google Scholar[8] W. F. Lucas, A game with no solution, RAND Mem., RM-5518-PR, The BAND Corporation, Santa Monica, California, 1967 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Chapter 17 Von Neumann-Morgenstern stable sets Cross Ref Some Recent Developments in n-Person Game TheoryW. F. Lucas18 July 2006 | SIAM Review, Vol. 13, No. 4AbstractPDF (3775 KB) Volume 16, Issue 3| 1968SIAM Journal on Applied Mathematics History Submitted:09 October 1967Published online:12 July 2006 InformationCopyright © 1968 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0116046Article page range:pp. 582-585ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics