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The Law of Demand when Income Is Price Dependent

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  • John K.-H. Quah

Abstract

This paper establishes a set of conditions for the uniqueness and stability of the equilibrium price in exchange and production economies. Building on the earlier work of J. M. Grandmont and W. Hildenbrand, it shows that increasing heterogeneity in preferences (in some well-defined sense) causes aggregate Engel curves to become increasingly linear. So sufficient dispersion, together with the assumption that preferences and endowments are independently distributed, leads to the aggregate excess demand function satisfying the law of demand. Uniqueness and stability of the equilibrium price follows.

Suggested Citation

  • John K.-H. Quah, 1997. "The Law of Demand when Income Is Price Dependent," Econometrica, Econometric Society, vol. 65(6), pages 1421-1442, November.
  • Handle: RePEc:ecm:emetrp:v:65:y:1997:i:6:p:1421-1442
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    Citations

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    Cited by:

    1. 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.
    2. Brighi, Luigi, 2004. "A stronger criterion for the Weak Weak Axiom," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 93-103, February.
    3. John Quah, 2006. "Weak axiomatic demand theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 677-699, November.
    4. Mackowiak, Piotr, 2010. "The existence of equilibrium without fixed-point arguments," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1194-1199, November.
    5. Zigrand, Jean-Pierre, 2004. "A general equilibrium analysis of strategic arbitrage," Journal of Mathematical Economics, Elsevier, vol. 40(8), pages 923-952, December.
    6. John K.-H. Quah, 2000. "The Weak Axiom and Comparative Statics," Econometric Society World Congress 2000 Contributed Papers 0437, Econometric Society.
    7. Andreas Chai & Christian Kiedaisch & Nicholas Rohde, 2017. "The saturation of spending diversity and the truth about Mr Brown and Mrs Jones," Discussion Papers in Economics economics:201701, Griffith University, Department of Accounting, Finance and Economics.
    8. Gael Giraud & Isabelle Maret, 2001. "Behavioral Heterogeneity in Large Economies," Working Papers of BETA 2001-08, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    9. John Quah, 2001. "Comparative Statics of the Weak Axiom," Economics Papers 2001-W3, Economics Group, Nuffield College, University of Oxford.
    10. Gael Giraud & John Quah, 2002. "Heterotic Models of Aggregate Demand," Economics Papers 2002-W18, Economics Group, Nuffield College, University of Oxford.
    11. Isabelle MARET, 2002. "Modeling Behavioral Heterogeneity in Demand Theory," Working Papers of BETA 2002-05, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    12. Andreas Chai & Nicholas Rohde & Jacques Silber, 2015. "Measuring The Diversity Of Household Spending Patterns," Journal of Economic Surveys, Wiley Blackwell, vol. 29(3), pages 423-440, July.
    13. Jean-Michel Grandmont, 2017. "Behavioral Heterogeneity : Pareto Distributions of Homothetic Preference Scales and Aggregate Expenditures Income Elasticities," Working Papers 2017-11, Center for Research in Economics and Statistics.
    14. Alan Kirman, 2006. "Heterogeneity in Economics," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 1(1), pages 89-117, May.
    15. E. B. de Villemeur, 1999. "Aggregation of demand and distribution of characteristics : A difficulty in modelling behavioural heterogeneity," THEMA Working Papers 99-38, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    16. Isabelle MARET, 2001. "Modeling Behavioral Heterogeneity in Demand Theory," Working Papers of BETA 2001-04, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    17. Quah, John K.-H., 2008. "The existence of equilibrium when excess demand obeys the weak axiom," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 337-343, February.
    18. Gael GIRAUD & Isabelle MARET, 2002. "Modelling Behavioral Heterogeneity," Working Papers of BETA 2002-22, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    19. Giraud Gael & Quah John K.-H., 2003. "Homothetic or Cobb-Douglas Behavior Through Aggregation," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-23, December.
    20. Werner Hildenbrand & Alois Kneip, 2005. "On behavioral heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(1), pages 155-169, January.
    21. Michael Jerison & John K.-H. Quah, 2006. "Law of Demand," Discussion Papers 06-07, University at Albany, SUNY, Department of Economics.

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