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The core of a cooperative game without side payments. (English) Zbl 0099.36602

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[1] Robert J. Aumann, Acceptable points in general cooperative \?-person games, Contributions to the theory of games, Vol. IV, Annals of Mathematics Studies, no. 40, Princeton University Press, Princeton, N.J., 1959, pp. 287 – 324. · Zbl 0085.13005
[2] Robert J. Aumann, Acceptable points in games of perfect information, Pacific J. Math. 10 (1960), 381 – 417. · Zbl 0093.33004
[3] R. J. Aumann and B. Peleg, Von Neumann-Morgenstern solutions to co-operative games without side payments, Bull. Amer. Math. Soc. 66 (1960), 173 – 179. · Zbl 0096.14706
[4] Robin Farquharson, Sur une généralisation de la notion d’équilibrium, C. R. Acad. Sci. Paris 240 (1955), 46 – 48 (French). · Zbl 0064.13404
[5] Donald B. Gillies, Solutions to general non-zero-sum games, Contributions to the theory of games, Vol. IV, Annals of Mathematics Studies, no. 40, Princeton University Press, Princeton, N.J., 1959, pp. 47 – 85. · Zbl 0085.13106
[6] John C. Harsanyi, Approaches to the bargaining problem before and after the theory of games: a critical discussion of Zeuthen’s, Hicks’, and Nash’s theories, Econometrica 24 (1956), 144 – 157. · Zbl 0071.14008 · doi:10.2307/1905748 · doi.org
[7] J. R. Isbell, Absolute games, Contributions to the theory of games, Vol. IV, Princeton University Press, Princeton, N.J., 1959, pp. 357 – 396. · Zbl 0085.13104
[8] J. R. Isbell, A modification of Harsanyi’s bargaining model, Bull. Amer. Math. Soc. 66 (1960), 70 – 73. · Zbl 0092.38202
[9] Shizuo Kakutani, A generalization of Brouwer’s fixed point theorem, Duke Math. J. 8 (1941), 457 – 459. · Zbl 0061.40304
[10] R. Duncan Luce, A definition of stability for \?-person games, Ann. of Math. (2) 59 (1954), 357 – 366. · Zbl 0055.37006 · doi:10.2307/1969706 · doi.org
[11] 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;. · Zbl 0084.15704
[12] John Nash, Non-cooperative games, Ann. of Math. (2) 54 (1951), 286 – 295. · Zbl 0045.08202 · doi:10.2307/1969529 · doi.org
[13] John F. Nash Jr., The bargaining problem, Econometrica 18 (1950), 155 – 162. · Zbl 1202.91122 · doi:10.2307/1907266 · doi.org
[14] J. von Neumann, Über ein ökonomisches Gleichungssystem und eine Verallgemeinerung des Brouwerschen Fixpunktsatzes, Ergebnisse eines Math. Kolloquiums vol. 8 (1937) pp. 73-83. · Zbl 0017.03901
[15] J. von Neumann and O. Morgenstern, Theory of games and economic behavior, Princeton, N. J., Princeton University Press, 1944, 2nd ed., 1947. · Zbl 0063.05930
[16] B. Peleg, Solutions to cooperative games without side payments, to be published. · Zbl 0121.15206
[17] A. W. Tucker and R. D. Luce, editors, Contributions to the theory of games. IV, Annals of Mathematics Studies, no. 40, Princeton, N. J., Princeton University Press, 1959. · Zbl 0085.12903
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