Some recent results in \(n\)-person game theory.(English)Zbl 0226.90049
MSC:
| 91A06 | \(n\)-person games, \(n>2\) |
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References:
| [1] | L.J.Billera, ”Some theorems on the core of ann-person game without side payments”,SIAM Journal of Applied Mathematics 18 (1970) 567–579. ·Zbl 0222.90055 ·doi:10.1137/0118049 |
| [2] | O.N.Bondareva, ”Some applications of linear programming methods to the theory of cooperative games”,Problemy Kibernet. 10 (1963) 119–139. ·Zbl 1013.91501 |
| [3] | A.Charnes, M.Eisner and K.O.Kortanek, ”On weakly balanced games and duality theory”,Cahiers du Centre D’Etudes De Recherche Opérationelle 12 (1970) 7–21. ·Zbl 0359.90081 |
| [4] | A.Charnes and K.Kortanek, ”On classes of convex and preemptive nuclei forn-person games”,Proc. 1967 Princeton Mathematical Programming Symposium, ed. H.W. Kuhn (Princeton University Press, Princeton, 1970) pp. 377–390. ·Zbl 0224.90079 |
| [5] | A.Charnes and K.Kortanek, ”On asymptotic behavior of some nuclei ofn-person games and the piecewise linearity of the nucleolus”, Management Science Research Report No. 170, Carnegie-Mellon University (August, 1969). |
| [6] | M.Eisner, ”On duality in infinite-player games and sequential chance-constrained programming”, Ph. D. thesis, Department of Operations Research, Cornell University (January, 1970). |
| [7] | J.Grotte, ”Computation of and observations on the nucleolus, the normalized nucleolus, and the central games”, M.S. thesis, Field of Applied Mathematics, Cornell University (September, 1970). ·Zbl 0248.90065 |
| [8] | Y. Kannai, ”Countably additive measures in cores of games”,Journ. Math. Anal. and Applic. 27 (1969) 227–240. ·Zbl 0181.46902 ·doi:10.1016/0022-247X(69)90044-4 |
| [9] | M.Keane, ”Some topics inn-person game theory”, Ph.D. thesis, Northwestern University (June, 1969). |
| [10] | E.Kohlberg, ”On the nucleolus of a characteristic function game”, Research memorandum No. 48, Department of Mathematics, The Hebrew University of Jerusalem (July, 1969). (To appear inSIAM Journal of Applied Mathematics). ·Zbl 0228.90060 |
| [11] | E.Kohlberg, ”The nucleolus as a solution of a minimization problem”, to appear. ·Zbl 0243.90057 |
| [12] | A.Kopelowitz, ”Computation of the kernels of simpel games and the nucleolus ofn-person games”, Research Memorandum No. 31, Department of Mathematics, The Hebrew University of Jerusalem (September, 1967). |
| [13] | M.Maschler, B.Peleg and L.S.Shapley, ”The kernel and the nucleolus of a cooperative game as locuses in the strongcore”, Research Memorandum No. 60, Department of Mathematics, The Hebrew University of Jerusalem (May, 1970). |
| [14] | H.Scarf, ”The core of ann-person game”,Econometrica 35 (1967) 50–69. ·Zbl 0183.24003 ·doi:10.2307/1909383 |
| [15] | D. Schmeidler, ”The nucleolus of a characteristic funtion game”,SIAM Journal of Applied Mathematics 17 (1969) 1163–1170. ·Zbl 0191.49502 ·doi:10.1137/0117107 |
| [16] | D.Schmeidler, ”On balanced games with infinitely many players”, Research Memorandum No. 28, Department of Mathematics, The Hebrew University of Jerusalem (June, 1967). |
| [17] | L.Shapley, ”On balanced sets and scores”.Naval Research Logistics Quarterly 14 (1967) 453–460. ·doi:10.1002/nav.3800140404 |
| [18] | L.Shapley, ”Balanced sets, Sperner’s lemma, and Scarf’s theorem on the core”, informal lecture at the Second International Game Theory Workshop, Berkeley, August, 1970. To appear (RAND Corporation, Santa Monica, California). |
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