A lattice fixed-point theorem with constraints. (English) Zbl 0319.06005


06B23 Complete lattices, completions
05C99 Graph theory
91A12 Cooperative games
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[1] Garrett Birkhoff, Lattice theory, Third edition. American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1967. · Zbl 0153.02501
[2] W. F. Lucas, A game with no solution, Bull. Amer. Math. Soc. 74 (1968), 237 – 239. · Zbl 0157.51101
[3] A. E. Roth, Subsolutions of cooperative games, Technical Report no. 118, Institute for Mathematical Studies in the Social Sciences, Stanford University; also: Technical Report no. 73-12, Department of Operations Research. · Zbl 0457.90095
[4] Alvin E. Roth, A fixed point approach to stability in cooperative games, Fixed points: algorithms and applications (Proc. First Internat. Conf., Clemson Univ., Clemson, S.C., 1974) Academic Press, New York, 1977, pp. 165 – 180.
[5] A. E. Roth, Topics in cooperative game theory, Technical Report SOL 74-8, Systems Optimization Laboratory, Department of Operations Research, Stanford University, July 1974.
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