Nash and Walras equilibrium via Brouwer

Economic Theory

Volumn 21, Issue 2-3, 2003, Pages 585-603

  Geanakoplos, John ^a   Aliprantis, C D ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

Brouwer; Equilibrium; Kakutani; Nash; Walras

Indexed keywords

EID: 0037757973     PISSN: 09382259     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001990000076     Document Type: Conference Paper

References (26)

1. Aliprantis, P., Brown, D.J.: Equilibria in markets with a Riesz space of commodities. Journal of Mathematical Economics 11, 189-207 (1983)
2. Arrow, K., Debreu, G.: Existence of an equilibrium for a competitive economy. Econometrica 22, 265-290 (1954)
3. Aumann, R.: Existence of competitive equilibria in markets with a continuum of traders. Econometrica 34(1), 1-17 (1966)
4. Border, K.: Fixed point theorems with applications to economics and game theory. Cambridge: Cambridge University Press, 1985
5. Brown, D.J.: Acyclic choice. Cowles Foundation Discussion Paper No. 360, Yale University, mimeo (1973)
6. Debreu, G.: A social equilibrium existence theorem. Proceedings of the National Academy of Sciences 38, 886-893 (1952)
7. Debreu, G.: Market equilibrium. Proceedings of the National Academy of Sciences 42, 876-878 (1956)
8. Debreu, G.: The theory of value. New Haven: Yale University Press, 1959
9. Fan, K.: A generalization of Tychonoff 's fixed point theorem. Mathematische Annalen 142, 305-310 (1961)
10. Gale, D.: The law of supply and demand. Mathematica Scandinavica 3, 155-169 (1955)
11. Gale, D., Mas-Colell, A.: An equilibrium existence theorem for a general model without ordered preferences. Journal of Mathematical Economics 2, 9-15 (1975)
12. Gul, F., Pearce, D., Stacchetti, E.: A bound on the proportion of pure strategy equilibria in generic games. Mathematics of Operations Research 18(3), 548-552 (1993)
13. Kehoe, T.: An index theorem for general equilibrium models with production. Econometrica 48, 1211-1232 (1980)
14. Kehoe, T.: The existence, stability, and uniqueness of economic equilibria. Presented at the School Celebration at Yale, 1995
15. Krasa, S., Yannelis, N.C.: An elementary proof of the Knaster-Kuratowski-Mazurkiewicz-Shapley theorem. Economic Theory 4, 467-471
16. Lemke, C.E., Howson, J.T.: Equilibrium points of bimatrix games. SIAM Journal of Applied Mathematics 12, 413-423 (1964)
17. McKenzie, L.: On equilibrium in Graham's model of world trade and other competitive systems. Econometriea 22, 147-161 (1954)
18. McKenzie, L.: On the existence of general equilibrium for a competitive market. Econometrica 27, 54-71 (1959)
19. Nash, J.: Equilibrium points in N-person games. Proceedings of the National Academy of Sciences 36, 48-49 (1950)
20. Nash, J.: Non-cooperative games. Annals of Mathematics 54, 286-295 (1951)
21. Neuefeind, W.: Notes on existence of equilibrium proofs and the boundary behavior of supply. Econometriea 48, 1831-1837 (1980)
22. Nikaido, H.: On the classical multilateral exchange problem. Metroeconomica 8, 135-145 (1956)
23. Shafer, W.J., Sonnenschein, H.: Equilibrium in abstract economics without ordered preferences. Journal of Mathematical Economics 2, 345-348 (1975)
24. Sonnenschein, H.: Demand theory without transitive preferences, with applications to the theory of competitive equilibrium. In: Chipman, J.S., Hurwicz, L., Richter, M.K., Sonnenschein, H.F. (eds.) Preferences, utility and demand. New York: Harcourt Brace Jovanovich 1971
25. Todd, M.: A note on computing equilibria in economies with activity analysis models of production. Journal of Mathematical Economics 6, 135-144 (1979)
26. Yannelis, N. C.: On a market equilibrium theorem with an infinite number of commodities. Journal of Mathematical Analysis and Applications 108, 595-599 (1985)