References
Billera, L. J., and Raanan, J. (1981) “Cores of Non-Atomic Linear Production Games.”Mathematics of Operations Research 6: 420–423.
Green, J. R. (1972): “On the Inequitable Nature of Core Allocations.”Journal of Economic Theory 4: 132–143.
v. Neumann, J., and Morgenstern, O. (1944, 1953):Theory of Games and Economic Behavior. Princeton, N. J.: Princeton University Press.
Ostmann, A. (1987): “On the Minimal Representation of Homogeneous Games.”International Journal of Game Theory 16: 69–81.
Owen, G. (1975): “On the Core of Linear Production Games.”Mathematical Programming 9: 358–370.
Rosenmüller, J. (1971): “Some Properties of Convex Set Functions.”Archiv der Mathematik 22: 420–430.
Rosenmüller, J. (1977):Extreme Games and their Solutions. (Lecture Notes in Economics and Mathematical Systems, 145.) Berlin-Heidelberg-New York: Springer.
Rosenmüller, J. (1981):The Theory of Games and Markets. Amsterdam-New York-Oxford: North-Holland.
Rosenmüller, J. (1982): “L. P.-Games with Sufficiently Many Players.”International Journal of Game Theory 11: 129–149.
Rosenmüller, J. (1983): “Discrete Methods in Cooperative Game Theory.” InTransactions of the 9th Prague Conference on Information Theory, Statistical Decision Functions, and Random Processes. Prague: Academic Publishing House.
Rosenmüller, J. (1984): “Weighted Majority Games and the Matrix of Homogeneity.”Zeitschrift für Operations Research 28: 123–141.
Rosenmüller, J. (1987): “Homogeneous Games: Recursive Structure and Computation.”Mathematics of Operations Research 12: 309–330.
Rosenmüller, J. (1985): “Homogeneous Games with Countably Many Players.” Working Paper 143, Bielefeld: Institute of Mathematical Economics, University of Bielefeld.
Rosenmüller, J., and Weidner, H. G. (1973): “A Class of Extreme Convex Set Functions with Finite Carrier.”Advances in Mathematics 10: 1–38.
Rosenmüller, J., and Weidner, H. G. (1974): “Extreme Convex Set Functions with Finite Carrier: General Theory.”Discrete Mathematics 10: 343–382.
Shapley, L. S., and Shubik, M. (1969): “On Market Games.”Journal of Economic Theory 1: 9–25.
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Rosenmüller, J. The rôle of nondegeneracy and homogeneity inn-person Game Theory: An equivalence theorem. Zeitschr. f. Nationalökonomie 47, 367–389 (1987). https://doi.org/10.1007/BF01229469
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DOI: https://doi.org/10.1007/BF01229469