The Nucleolus of a Characteristic Function Game

Previous article Next article The Nucleolus of a Characteristic Function GameDavid SchmeidlerDavid Schmeidlerhttps://doi.org/10.1137/0117107PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Robert J. Aumann and , Michael Maschler, L. S. Shapley and , A. W. Tucker, The bargaining set for cooperative gamesAdvances in Game Theory, Princeton Univ. Press, Princeton, N.J., 1964, 443–476 MR0176842 (31:1114) 0132.14003 CrossrefGoogle Scholar[2] Morton Davis and , Michael Maschler, The kernel of a cooperative game, Naval Res. Logist. Quart., 12 (1965), 223–259 MR0207404 (34:7219) 0204.20202 CrossrefGoogle Scholar[3] A. Kopelowitz, Computation of the kernels of simple games and the nucleolus of n-person games, RM 37, Research Program in Game Theory and Mathematical Economics, The Hebrew University of Jerusalem, Jerusalem, 1967 Google Scholar[4] M. Maschler and , B. Peleg, A characterization, existence proof and dimension bounds for the kernel of a game, Pacific J. Math., 18 (1966), 289–328 MR0205699 (34:5525) 0144.43403 CrossrefISIGoogle Scholar[5A] Bezalel Peleg, Existence theorem for the bargaining set $M\sb{1}\sp{(i)}$, Bull. Amer. Math. Soc., 69 (1963), 109–110 MR0144792 (26:2333) 0114.12502 CrossrefISIGoogle Scholar[5B] Bezalel Peleg, Existence theorem for the bargaining set $M\sb{1}{}\sp{(i)}$Essays in Mathematical Economics (in Honor of Oskar Morgenstern), Princeton Univ. Press, Princeton, N.J., 1967, 53–56 MR0209018 (34:8826) CrossrefGoogle Scholar[6] Bezalel Peleg, On weights of constant-sum majority games, SIAM J. Appl. Math., 16 (1968), 527–532 10.1137/0116042 MR0235855 (38:4157) 0155.29201 LinkISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Enabling inter-area reserve exchange through stable benefit allocation mechanismsOmega, Vol. 113 | 1 Dec 2022 Cross Ref Dynamic coordinated maintenance of wind-farms with risk-averse agents under CVaR criterionAutomatica, Vol. 146 | 1 Dec 2022 Cross Ref Optimization implementation of solution concepts for cooperative games with stochastic payoffsTheory and Decision, Vol. 93, No. 4 | 31 January 2022 Cross Ref A new approach to agglomeration problemsOperations Research Letters, Vol. 50, No. 6 | 1 Nov 2022 Cross Ref A horizontal collaborative approach for planning the wine grape harvestingOperational Research, Vol. 22, No. 5 | 5 September 2022 Cross Ref Use of multi‐perturbation Shapley analysis in lesion studies of functional networks: The case of upper limb paresisHuman Brain Mapping, Vol. 19 | 7 October 2022 Cross Ref 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