The Effective Computation of Equilibrium Point for N-Person Games Cyclic to the Next Person

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Previous article Next article The Effective Computation of Equilibrium Point for N-Person Games Cyclic to the Next PersonEzio MarchiEzio Marchihttps://doi.org/10.1137/0612054PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractThis paper introduces, in an effective way, the neat computation of equilibrium points for certain classes of n-person games that were introduced as cyclic to the next person.[1] J. Cohen, , E. Marchi and , J. A. Oviedo, Perturbation theory of completely mixed bimatrix games, Linear Algebra Appl., 114/115 (1989), 169–180 10.1016/0024-3795(89)90458-8 90f:90162 0675.90095 CrossrefISIGoogle Scholar[2] Irving Kaplansky, A contribution to von Neumann's theory of games, Ann. of Math. (2), 46 (1945), 474–479 7,214c 0063.03139 CrossrefISIGoogle Scholar[3] Samuel Karlin, Mathematical methods and theory in games, programming and economics. Vol. I: Matrix games, programming, and mathematical economics. Vol. II: The theory of infinite games, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1959Vol. I, x+433 pp. Vol. II, xi+386 22:2496 Google Scholar[4] E. Marchi, On equilibrium points of diagonal n-person games, J. Optim. Theory Appl., 64 (1990), 119–125 90k:90186 0666.90093 CrossrefISIGoogle Scholar[5] Ezio Marchi, A note on proper and perfect E-stable points, Collect. Math., 39 (1988), 9–19 91g:90192 0713.90100 Google Scholar[6] E. Marchi and , P. Tarazaga, Relevant aspects in two-person games, J. Optim. Theory Appl., 53 (1987), 125–131 88d:90127 0593.90085 CrossrefISIGoogle ScholarKeywordsequilibriumcomputationN-person games Previous article Next article FiguresRelatedReferencesCited byDetails Noncooperative constrained finite games: alternate linear programming approach Cross Ref Volume 12, Issue 4| 1991SIAM Journal on Matrix Analysis and Applications History Submitted:26 October 1988Accepted:19 July 1990Published online:17 July 2006 InformationCopyright © 1991 Society for Industrial and Applied MathematicsKeywordsequilibriumcomputationN-person gamesMSC codes90D05PDF Download Article & Publication DataArticle DOI:10.1137/0612054Article page range:pp. 707-712ISSN (print):0895-4798ISSN (online):1095-7162Publisher:Society for Industrial and Applied Mathematics