The existence of equilibrium when excess demand obeys the weak axiom
This paper gives a non-fixed point theoretic proof of equilibrium existence when the excess demand function of an exchange economy obeys the weak axiom. The proof is simple and geometrically intuitive, and it also permits a weakening of the continuity assumption on the excess demand function. (This paper is a more developed and (one hopes) improved version of an earlier working paper called An Elementary Equilibrium Existence Theorem, Working Paper W6 (2000), Nuffield College, Oxford.)
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References listed on IDEAS
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- Rosa Barbolla & Luis C. Corchón, 1989. "An Elementary Proof of the Existence of a Competitive Equilibrium in a Special Case," The Quarterly Journal of Economics, Oxford University Press, vol. 104(2), pages 385-389.
- John K.-H. Quah, 2000. "The Weak Axiom and Comparative Statics," Econometric Society World Congress 2000 Contributed Papers 0437, Econometric Society.
- repec:oxf:wpaper:1999-w15 is not listed on IDEAS
- John H. Nachbar, 2002. "General Equilibrium Comparative Statics," Econometrica, Econometric Society, vol. 70(5), pages 2065-2074, September.
- Shafer, Wayne J, 1974. "The Nontransitive Consumer," Econometrica, Econometric Society, vol. 42(5), pages 913-919, September.
- Jerison, Michael, 1999.
"Dispersed excess demands, the weak axiom and uniqueness of equilibrium,"
Journal of Mathematical Economics,
Elsevier, vol. 31(1), pages 15-48, February.
- Michael Jerison, 1998. "Dispersed Excess Demands, the Weak Axiom and Uniqueness of Equilibrium," Discussion Papers 98-03, University at Albany, SUNY, Department of Economics.
- John Quah, 2006.
"Weak axiomatic demand theory,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 677-699, November.
- Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, December.
- John K.-H. Quah, 1997. "The Law of Demand when Income Is Price Dependent," Econometrica, Econometric Society, vol. 65(6), pages 1421-1442, November.
- Nachbar, John H., 2004. "General equilibrium comparative statics: discrete shocks in production economies," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 153-163, February.
- Reinhard John, 1999. "Abraham Wald's equilibrium existence proof reconsidered," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(2), pages 417-428.
- Quah, John K. -H., 2003. "Market demand and comparative statics when goods are normal," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 317-333, June.
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