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An equilibrium existence theorem for a general model without ordered preferences. (English) Zbl 0324.90010


MSC:

91B60 Trade models
91B16 Utility theory
54H99 Connections of general topology with other structures, applications
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
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References:

[1] Debreu, G., Theory of value (1959), John Wiley: John Wiley New York · Zbl 0193.20205
[2] Fan, Ky, A generalization of Tychonoff’s fixed point theorem, Mathematische Annalen, 142, 305-310 (1961) · Zbl 0093.36701
[3] Mas-Colell, A., An equilibrium existence theorem without complete or transitive preferences, Journal of Mathematical Economics, 1, no. 3 (1974) · Zbl 0348.90033
[4] Michael, E., Continuous selections I, Annals of Mathematics, 63, no. 2, 361-382 (1956) · Zbl 0071.15902
[5] Sonnenschein, H., Demand theory without transitive preference with applications to the theory of competitive equilibrium, (Chipman, J.; Hurwicz, L.; Richter, M.; Sonnenschein, H., Preferences, utility and demand (1971), Brace, Jovanovich: Brace, Jovanovich New York) · Zbl 0277.90012
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