Previous article Next article On Weights of Constant-Sum Majority GamesBezalel PelegBezalel Peleghttps://doi.org/10.1137/0116042PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Morton Davis and , Michael Maschler, The kernel of a cooperative game, Naval Res. Logist. Quart., 12 (1965), 223–259 MR0207404 0204.20202 CrossrefGoogle Scholar[2] J. R. Isbell, A class of majority games, Quart. J. Math. Oxford Ser. (2), 7 (1956), 183–187 MR0097027 0073.13401 CrossrefGoogle Scholar[3] John R. Isbell, On the enumeration of majority games, Math. Tables Aids Comput., 13 (1959), 21–28 MR0103129 0139.13803 CrossrefGoogle 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 0144.43403 CrossrefISIGoogle Scholar[5] D. Schmeidler, The nucleolus of a characteristic function game, Research Program in Game Theory and Mathematical Economics, RM 23, The Hebrew University of Jerusalem, Jerusalem, 1966 Google Scholar[6] L. S. Shapley, Simple games: an outline of the descriptive theory, Behavioral Sci., 7 (1962), 59–66 MR0136457 CrossrefGoogle Scholar[7] L. S. Shapley, On balanced sets and cores, RM-4601-PR, The RAND Corporation, Santa Monica, California, 1965 Google Scholar[8] J. von Neumann and , O. Morgenstern, Theory of Games and Economic Behavior, Princeton University Press, Princeton, 1953 0053.09303 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails An Adaptive Model of Demand Adjustment in Weighted Majority Games26 December 2021 | Games, Vol. 13, No. 1 Cross Ref Winning coalitions in plurality voting democracies6 October 2020 | Social Choice and Welfare, Vol. 56, No. 3 Cross Ref A generalization of Peleg’s representation theorem on constant-sum weighted majority games10 June 2019 | Economic Theory Bulletin, Vol. 8, No. 1 Cross Ref Proper strong-Fibonacci games6 September 2018 | Decisions in Economics and Finance, Vol. 41, No. 2 Cross Ref Approximating Power by WeightsSSRN Electronic Journal Cross Ref Game Theory15 February 2018 Cross Ref On the characterization of weighted simple games31 May 2017 | Theory and Decision, Vol. 83, No. 4 Cross Ref The Integer Nucleolus of Directed Simple Games: A Characterization and an Algorithm28 February 2017 | Games, Vol. 8, No. 1 Cross Ref Alliances Électorales et Gouvernementales : La Contribution de la Théorie des Jeux Coopératifs à la Science PolitiqueRevue d'économie politique, Vol. 127, No. 4 Cross Ref Characterization of Threshold Functions: State of the Art, Some New Contributions and Open ProblemsSSRN Electronic Journal Cross Ref Proportional Payoffs in Legislative Bargaining with Weighted Voting: A CharacterizationSSRN Electronic Journal Cross Ref Voting power and proportional representation of voters3 December 2013 | International Journal of Game Theory, Vol. 43, No. 4 Cross Ref The nucleolus of large majority gamesEconomics Letters, Vol. 123, No. 2 Cross Ref Mostly Sunny: A Forecast of Tomorrow's Power Index ResearchSSRN Electronic Journal Cross Ref On minimum integer representations of weighted gamesMathematical Social Sciences, Vol. 67 Cross Ref SOME OPEN PROBLEMS IN SIMPLE GAMES9 June 2013 | International Game Theory Review, Vol. 15, No. 02 Cross Ref On the Nucleolus as a Power Index19 March 2013 Cross Ref The Nucleolus of Large Majority GamesSSRN Electronic Journal Cross Ref Sequential legislative lobbying13 March 2012 | Social Choice and Welfare, Vol. 39, No. 2-3 Cross Ref Voting power in the EU council of ministers and fair decision making in distributive politicsMathematical Social Sciences, Vol. 63, No. 2 Cross Ref Voting Power in the EU Council of Ministers and Fair Decision Making in Distributive PoliticsSSRN Electronic Journal Cross Ref Demand bargaining and proportional payoffs in majority gamesGames and Economic Behavior, Vol. 71, No. 2 Cross Ref Power Indices15 February 2011 Cross Ref Sequential Legislative Lobbying under Political Certainty31 July 2009 | The Economic Journal, Vol. 120, No. 543 Cross Ref On the computational complexity of weighted voting games20 October 2009 | Annals of Mathematics and Artificial Intelligence, Vol. 56, No. 2 Cross Ref Game Theory22 March 2017 Cross Ref Proportional Payoffs in Majority GamesSSRN Electronic Journal Cross Ref Demand Commitment in Legislative Bargaining8 November 2007 | American Political Science Review, Vol. 101, No. 4 Cross Ref Demand Bargaining and Proportional Payoffs in LegislaturesSSRN Electronic Journal Cross Ref Noncooperative foundations of the nucleolus in majority gamesGames and Economic Behavior, Vol. 54, No. 2 Cross Ref The demand bargaining set: general characterization and application to majority gamesGames and Economic Behavior, Vol. 42, No. 1 Cross Ref The Stable Demand Set General Characterization and Application to Majority GamesSSRN Electronic Journal Cross Ref Party Formation and Policy Outcomes Under Different Electoral SystemsSSRN Electronic Journal Cross Ref The modified nucleolus: Properties and axiomatizationsInternational Journal of Game Theory, Vol. 26, No. 2 Cross Ref Star-shapedness of the kernel for homogeneous gamesMathematical Social Sciences, Vol. 32, No. 3 Cross Ref Directed and weighted majority gamesZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research, Vol. 42, No. 2 Cross Ref The nucleolus of homogeneous games with stepsDiscrete Applied Mathematics, Vol. 50, No. 1 Cross Ref The Kernel of Homogeneous Games with Steps Cross Ref Chapter 36 Games in coalitional form Cross Ref Monotonic games are spanning network gamesInternational Journal of Game Theory, Vol. 21, No. 4 Cross Ref The least core, nucleolus, and kernel of homogeneous weighted majority gamesGames and Economic Behavior, Vol. 4, No. 4 Cross Ref Chapter 18 The bargaining set, kernel, and nucleolus Cross Ref Homogeneous games with countably many playersMathematical Social Sciences, Vol. 17, No. 2 Cross Ref Game Theory Cross Ref On the minimal representation of homogeneous gamesInternational Journal of Game Theory, Vol. 16, No. 1 Cross Ref An Algorithm for the Construction of Homogeneous Games Cross Ref Game Theory10 November 2016 Cross Ref On connected coalitions in dominated simple gamesInternational Journal of Game Theory, Vol. 14, No. 2 Cross Ref Weighted majority games and the matrix of homogeneityZeitschrift für Operations Research, Vol. 28, No. 5 Cross Ref Generalised bargaining sets for cooperative gamesInternational Journal of Game Theory, Vol. 7, No. 3-4 Cross Ref Arbitraggi bilanciati per giochi omogenei di maggioranza ponderataRivista di Matematica per le Scienze Economiche e Sociali, Vol. 1, No. 1 Cross Ref Valid Inequalities, Covering Problems and Discrete Dynamic Programs Cross Ref The nucleolus and kernel for simple games or special valid inequalities for 0–1 linear integer programsInternational Journal of Game Theory, Vol. 5, No. 4 Cross Ref The nucleolus in games with major and minor playersInternational Journal of Game Theory, Vol. 3, No. 3 Cross Ref The competitive bargaining set for cooperative n-person gamesJournal of Mathematical Psychology, Vol. 10, No. 3 Cross Ref Some Recent Developments in n-Person Game TheoryW. F. Lucas18 July 2006 | SIAM Review, Vol. 13, No. 4AbstractPDF (3775 KB)The Nucleolus of a Characteristic Function GameDavid Schmeidler17 February 2012 | SIAM Journal on Applied Mathematics, Vol. 17, No. 6AbstractPDF (773 KB) Volume 16, Issue 3| 1968SIAM Journal on Applied Mathematics History Submitted:22 September 1967Published online:12 July 2006 InformationCopyright © 1968 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0116042Article page range:pp. 527-532ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics
No takes yet. Share an insight, caveat, or question.
Bezalel Peleg (1968) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: