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

MSC:
91A10Noncooperative games
91A35Decision theory for games
91B60Trade models in economics
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Full Text: DOI
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 USA 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 USA 36 (1950) · Zbl 0036.01104
[6] Nikaido, H.: Convex structures and economic theory. (1968) · 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. Preference, utility and demand (1971) · Zbl 0277.90012