A method for computing the kernel of $n$-person games
HTML articles powered by AMS MathViewer
- by R. J. Aumann, B. Peleg and P. Rabinowitz PDF
- Math. Comp. 19 (1965), 531-551 Request permission
References
- Robert J. Aumann and Michael Maschler, The bargaining set for cooperative games, Advances in Game Theory, Princeton Univ. Press, Princeton, N.J., 1964, pp. 443–476. MR 0176842
- M. L. Balinski, An algorithm for finding all vertices of convex polyhedral sets, J. Soc. Indust. Appl. Math. 9 (1961), 72–88. MR 142057, DOI 10.1137/0109008 M. Davis & M. Maschler, The Kernel of a Cooperative Game, Research Memorandum No. 58, Econometric Research Program, Princeton University, Princeton, N. J., June, 1963.
- Morton Davis and Michael Maschler, Existence of stable payoff configurations for cooperative games, Bull. Amer. Math. Soc. 69 (1963), 106–108. MR 144791, DOI 10.1090/S0002-9904-1963-10879-4
- James H. Griesmer, Extreme games with three values, Contributions to the theory of games, Vol. IV, Annals of Mathematics Studies, no. 40, Princeton University Press, Princeton, N.J., 1959, pp. 189–212. MR 0103775
- Herbert M. Gurk, Five-person, constant-sum, extreme games, Contributions to the theory of games, Vol. IV, Annals of Mathematics Studies, no. 40, Princeton University Press, Princeton, N.J., 1959, pp. 179–188. MR 0103126
- John R. Isbell, On the enumeration of majority games, Math. Tables Aids Comput. 13 (1959), 21–28. MR 103129, DOI 10.1090/S0025-5718-1959-0103129-5
- R. Duncan Luce and Howard Raiffa, Games and decisions: introduction and critical survey, John Wiley & Sons, Inc., New York, N. Y., 1957. A study of the Behavioral Models Project, Bureau of Applied Social Research, Columbia University;. MR 0087572
- 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. MR 205699, DOI 10.2140/pjm.1966.18.289
- John von Neumann and Oskar Morgenstern, Theory of Games and Economic Behavior, Princeton University Press, Princeton, N.J., 1944. MR 0011937
- Bezalel Peleg, Existence theorem for the bargaining set $M_{1}^{(i)}$, Bull. Amer. Math. Soc. 69 (1963), 109–110. MR 144792, DOI 10.1090/S0002-9904-1963-10881-2
- Bezalel Peleg, On the kernel of constant-sum simple games with homogeneous weights, Illinois J. Math. 10 (1966), 39–48. MR 218123
- Bezalel Peleg, The kernel of $m$-quota games, Canadian J. Math. 17 (1965), 239–244. MR 178977, DOI 10.4153/CJM-1965-022-x
- L. S. Shapley, Simple games: an outline of the descriptive theory, Behavioral Sci. 7 (1962), 59–66. MR 136457, DOI 10.1002/bs.3830070104
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Math. Comp. 19 (1965), 531-551
- MSC: Primary 90.70
- DOI: https://doi.org/10.1090/S0025-5718-1965-0198988-7
- MathSciNet review: 0198988