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On the Nucleolus of a Characteristic Function Game

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Previous article Next article On the Nucleolus of a Characteristic Function GameElon KohlbergElon Kohlberghttps://doi.org/10.1137/0120009PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] David Schmeidler, The nucleolus of a characteristic function game, SIAM J. Appl. Math., 17 (1969), 1163–1170 10.1137/0117107 MR0260432 0191.49502 LinkISIGoogle Scholar[2] J. Farkas, Über die Theorie der einfachen Ungleichungen, J. Reine Angew. Math., 124 (1901), 1–27 Google Scholar[3] L. S. Shapley, On balanced sets and cores, Naval Res. Logist. Quart., 14 (1967), 453–460 CrossrefGoogle Scholar[4] A. Charnes and , K. O. Kortanek, On classes of convex and preemptive nuclei for n-person games, Tech. Rep., 31, Operations Research Dept., Cornell University, Ithaca, N.Y., 1967 Google Scholar[5] A. Charnes and , K. O. Kortanek, On asymptotic behavior of some nuclei of n-person games and the piecewise linearity of the nucleolus, Management Sci. Res. Rep., 170, Grad. School of Ind. Adm., Carnegie–Mellon University, Pittsburgh, Penn., 1969 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails The nucleolus and inheritance of properties in communication situations25 March 2022 | Annals of Operations Research, Vol. 54 Cross Ref An Adaptive Model of Demand Adjustment in Weighted Majority Games26 December 2021 | Games, Vol. 13, No. 1 Cross Ref Finding and verifying the nucleolus of cooperative games6 June 2020 | Mathematical Programming, Vol. 190, No. 1-2 Cross Ref Computationally Efficient Pricing and Benefit Distribution Mechanisms for Incentivizing Stable Peer-to-Peer Energy TradingIEEE Internet of Things Journal, Vol. 8, No. 2 Cross Ref Contention Resolution, Matrix Scaling and Fair Allocation1 January 2022 Cross Ref The impact of Nord Stream 2 on the European gas market bargaining positionsEnergy Policy, Vol. 144 Cross Ref Monotonicity and Weighted Prenucleoli: A Characterization Without ConsistencyMathematics of Operations 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Nucleolus to Infinite Player GamesCharles Bird12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 31, No. 3AbstractPDF (986 KB)Coalitional and Chance-Constrained Solutions to n-Person Games. I: The Prior Satisficing NucleolusA. Charnes and Daniel Granot12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 31, No. 2AbstractPDF (848 KB)Dynamics of cooperative gamesInternational Journal of Game Theory, Vol. 5, No. 1 Cross Ref Excess Functions for Cooperative Games without SidepaymentsEhud Kalai12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 29, No. 1AbstractPDF (1076 KB)Cooperative games with coalition structuresInternational Journal of Game Theory, Vol. 3, No. 4 Cross Ref On the Nonmonotonicity of the Bargaining Set, the Kernel and the Nucleolus of GameNimrod Megiddo12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 27, No. 2AbstractPDF (352 KB)The Nucleolus as a Solution of a Minimization ProblemElon Kohlberg12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 23, No. 1AbstractPDF (495 KB)The kernel and bargaining set for convex gamesInternational Journal of Game Theory, Vol. 1, No. 1 Cross Ref Observations on the nucleolus and the central gameInternational Journal of Game Theory, Vol. 1, No. 1 Cross Ref Some Recent Developments in n-Person Game TheoryW. F. Lucas18 July 2006 | SIAM Review, Vol. 13, No. 4AbstractPDF (3775 KB)Surplus-Sharing Local Games in Dynamic Exchange Processes Cross Ref Volume 20, Issue 1| 1971SIAM Journal on Applied Mathematics History Submitted:11 November 1969Published online:12 July 2006 InformationCopyright © 1971 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0120009Article page range:pp. 62-66ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics

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