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Equilibrium in abstract economies without ordered preferences. (English) Zbl 0312.90062


MSC:

91A10 Noncooperative games
91A35 Decision theory for games
91B60 Trade models
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References:

[1] Arrow, K.; Debreu, G., Existence of equilibrium for a competitive economy, Econometrica, 22 (1954) · Zbl 0055.38007
[2] Debreu, G., A social equilibrium existence theorem, Proceedings of the National Academy of Sciences of the U.S.A., 38 (1952) · Zbl 0047.38804
[3] Gale, D.; Mas-Colell, A., An equilibrium existence theorem for a general model without ordered preferences, Journal of Mathematical Economics, 2, 9-15 (1975) · Zbl 0324.90010
[4] Mas-Colell, A., An equilibrium existence theorem without complete or transitive preferences, Journal of Mathematical Economics, 1, 237-246 (1974) · Zbl 0348.90033
[5] Nash, J. F., Equilibrium states in \(N\)-person games, Proceedings of the National Academy of Sciences of the U.S.A., 36 (1950) · Zbl 0036.01104
[6] Nikaido, H., Convex structures and economic theory (1968), Academic Press: Academic Press New York · Zbl 0172.44502
[7] Schmeidler, D., Competitive equilibria in markets with a continuum of traders and incomplete preferences, Econometrica, 37 (1969) · Zbl 0184.45201
[8] Shafer, W., The nontransitive consumer, Econometrica, 42 (1974) · Zbl 0291.90007
[9] Sonnenschein, H., Demand theory without transitive preferences, with applications to the theory of competitive equilibrium, (Chipman, J.; etal., Preference, utility and demand (1971), Harcourt Brace Jovanovich: Harcourt Brace Jovanovich New York) · Zbl 0277.90012
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