Weak Axiomatic Demand Theory
This paper gives a unified and simple treatment of three related questions in the demand theory of the weak axiom: (i) Is there an elementary, i.e., nonfixed point theoretic, proof of equilibrium existence when the excess demand function of an economy satisfies the weak axiom? (ii) What conditions are sufficient for a nontransitive preference to generate a continuous demand function? Note that such a demand must satisfy the weak, though not necessarily the strong, axiom. This motivates the next question. (iii) Given a function that satisfies the weak axiom, can we find a (non necessarily transitive) preference that generates it? To answer this first question, we give a proof using the separating hyperplane theorem. With the help of this result, we identify a class of nontransitive preferences which generate continuous demand functions, and within which any demand function satisfying the weak axiom can be rationalized.
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Date of creation:  01 Jan 2000 
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Handle:  RePEc:oxf:wpaper:2000w12 
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 Jerison, Michael, 1999.
"Dispersed excess demands, the weak axiom and uniqueness of equilibrium,"
Journal of Mathematical Economics,
Elsevier, vol. 31(1), pages 1548, February.
 Michael Jerison, 1998. "Dispersed Excess Demands, the Weak Axiom and Uniqueness of Equilibrium," Discussion Papers 9803, University at Albany, SUNY, Department of Economics.
 John K.H. Quah, 1997. "The Law of Demand when Income Is Price Dependent," Econometrica, Econometric Society, vol. 65(6), pages 14211442, November.
 Fishburn, Peter C, 1991. "Nontransitive Preferences in Decision Theory," Journal of Risk and Uncertainty, Springer, vol. 4(2), pages 11334, April.
 AlNajjar Nabil, 1993. "Nontransitive Smooth Preferences," Journal of Economic Theory, Elsevier, vol. 60(1), pages 1441, June.
 LaurentEmmanuel Calvet & Etienne Comon, 2003.
"Behavioral Heterogeneity and the Income Effect,"
PostPrint
hal00478345, HAL.
 Laurent Calvet & Etienne Comon, 2003. "Behavioral Heterogeneity and the Income Effect," The Review of Economics and Statistics, MIT Press, vol. 85(3), pages 653669, August.
 Laurent E. Calvet & Etienne Comon, 2000. "Behavioral Heterogeneity and The Income Effect," Harvard Institute of Economic Research Working Papers 1892, Harvard  Institute of Economic Research.
 John Quah, 2004.
"The existence of equilibrium when excess demand obeys the weak axiom,"
Economics Series Working Papers
2004W07, University of Oxford, Department of Economics.
 Quah, John K.H., 2008. "The existence of equilibrium when excess demand obeys the weak axiom," Journal of Mathematical Economics, Elsevier, vol. 44(34), pages 337343, February.
 John K.H. Quah, 2004. "The existence of equilibrium when excess demand obeys the weak axiom," Economics Papers 2004W07, Economics Group, Nuffield College, University of Oxford.
 Bandyopadhyay, Taradas & Dasgupta, Indraneel & Pattanaik, Prasanta K., 1999. "Stochastic Revealed Preference and the Theory of Demand," Journal of Economic Theory, Elsevier, vol. 84(1), pages 95110, January.
 Loomes, Graham & Starmer, Chris & Sugden, Robert, 1991. "Observing Violations of Transitivity by Experimental Methods," Econometrica, Econometric Society, vol. 59(2), pages 42539, March.
 Kim, Taesung & Richter, Marcel K., 1986. "Nontransitivenontotal consumer theory," Journal of Economic Theory, Elsevier, vol. 38(2), pages 324363, April.
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