The aggregate weak axiom in a financial economy through dominant substitution effects
Consider a two period financial economy with incomplete markets and with agents having von Neumann-Morgenstern utility functions. It is well known that when the economys endowments are collinear, the excess demand function will obey the weak axiom when certain mild restrictions are imposed on agents coefficient of relative risk aversion. This result is obtained through the application of a theorem on the law of demand (for individual demand) formulated independently by Milleron (1974) and Mitjuschin and Polterovich (1978). In this paper, we develop their arguments further and apply them to economies without collinear endowments. We identify conditions which guarantee that the economys excess demand function obeys the weak axiom near an equilibrium price.
|Date of creation:||01 Aug 2004|
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- Mantel, Rolf R., 1976. "Homothetic preferences and community excess demand functions," Journal of Economic Theory, Elsevier, vol. 12(2), pages 197-201, April.
- Polterovich, Victor & Mityushin, Leonid, 1978. "Criteria for Monotonicity of Demand Functions," MPRA Paper 20097, University Library of Munich, Germany.
- 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.
- 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.
- repec:rus:hseeco:94360 is not listed on IDEAS
- Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614 Elsevier.
- Quah, J-K-H, 1996.
"The Monotonicity of Individual and Market Demand,"
127, Economics Group, Nuffield College, University of Oxford.
- John Quah, 2002.
"The Law of Demand and Risk Aversion,"
2002-W3, Economics Group, Nuffield College, University of Oxford.
- John H. Nachbar, 2002. "General Equilibrium Comparative Statics," Econometrica, Econometric Society, vol. 70(5), pages 2065-2074, September.
- Hens, Thorsten & Loeffler, Andras, 1995. "Gross substitution in financial markets," Economics Letters, Elsevier, vol. 49(1), pages 39-43, July.
- Mas-Colell,Andreu, 1985.
"The Theory of General Economic Equilibrium,"
Cambridge University Press, number 9780521265140.
- 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.
- Hildenbrand, Werner, 1983. "On the "Law of Demand."," Econometrica, Econometric Society, vol. 51(4), pages 997-1019, July.
- Bettzuge, Marc Oliver, 1998. "An extension of a theorem by Mitjushin and Polterovich to incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 285-300, October.
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