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Criteria for Monotonicity of Demand Functions

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  • Polterovich, Victor
  • Mityushin, Leonid

Abstract

We formulate a simple necessary and sufficient condition of monotonicity of a consumer's demand function in terms of the first and second derivatives of the consumer's utility function.

Suggested Citation

  • Polterovich, Victor & Mityushin, Leonid, 1978. "Criteria for Monotonicity of Demand Functions," MPRA Paper 20097, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:20097
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    File URL: https://mpra.ub.uni-muenchen.de/20097/1/MPRA_paper_20097.pdf
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    Cited by:

    1. Evstigneev, I. V. & Taksar, M., 1995. "Stochastic equilibria on graphs, II," Journal of Mathematical Economics, Elsevier, vol. 24(4), pages 383-406.
    2. Erkan Yalcin, 2002. "Existence of Equilibrium in Incomplete Markets with Non-Ordered Preferences," GE, Growth, Math methods 0204002, EconWPA.
    3. B. Grodal & W. Hildenbrand, 1989. "The Weak Axiom of Revealed Preference in a Productive Economy," Review of Economic Studies, Oxford University Press, vol. 56(4), pages 635-639.
    4. John K.-H. Quah, 2000. "The Weak Axiom and Comparative Statics," Econometric Society World Congress 2000 Contributed Papers 0437, Econometric Society.
    5. Hildenbrand, Werner & Jerison, Michael, 1989. "The demand theory of the weak axioms of revealed preference," Economics Letters, Elsevier, vol. 29(3), pages 209-213.
    6. John Quah, 2001. "Comparative Statics of the Weak Axiom," Economics Papers 2001-W3, Economics Group, Nuffield College, University of Oxford.
    7. Kannai, Yakar, 1989. "A characterization of monotone individual demand functions," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 87-94, February.
    8. Yakar Kannai & Larry Selden, 2014. "Violation of the Law of Demand," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 1-28, January.
    9. Franks, Edwin & Bryant, William D.A., 2017. "The Uncompensated Law of Demand: A ‘Revealed Preference’ approach," Economics Letters, Elsevier, vol. 152(C), pages 105-111.
    10. Jerison, David & Jerison, Michael, 1993. "Approximately Rational Consumer Demand," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 217-241, April.
    11. Freixas, Xavier & Mas-Colell, Andreu, 1987. "Engel Curves Leading to the Weak Axiom in the Aggregate," Econometrica, Econometric Society, vol. 55(3), pages 515-531, May.
    12. John K.H. Quah, 2003. "The Law of Demand and Risk Aversion," Econometrica, Econometric Society, vol. 71(2), pages 713-721, March.
    13. John K.-H. Quah, 2000. "The Monotonicity of Individual and Market Demand," Econometrica, Econometric Society, vol. 68(4), pages 911-930, July.
    14. Hildenbrand, Werner, 1989. "Facts and ideas in microeconomic theory," European Economic Review, Elsevier, vol. 33(2-3), pages 251-276, March.
    15. Rose-Anne Dana, 2001. "original papers : Uniqueness of Arrow-Debreu and Arrow-Radner equilibrium when utilities are additively separable," Review of Economic Design, Springer;Society for Economic Design, vol. 6(2), pages 155-173.
    16. Hervés-Estévez, Javier & Moreno-García, Emma, 2015. "A convergence result for a bargaining set," MPRA Paper 69813, University Library of Munich, Germany.
    17. Zhou, Lin, 1995. "A characterization of demand functions that satisfy the weak axiom of revealed preference," Economics Letters, Elsevier, vol. 49(4), pages 403-406, October.
    18. Dana, Rose-Anne, 1995. "An extension of Milleron, Mitjushin and Polterovich's result," Journal of Mathematical Economics, Elsevier, vol. 24(3), pages 259-269.
    19. Hardle, Wolfgang & Hildenbrand, Werner & Jerison, Michael, 1991. "Empirical Evidence on the Law of Demand," Econometrica, Econometric Society, vol. 59(6), pages 1525-1549, November.
    20. Hua Chen & Michael Sherris & Tao Sun & Wenge Zhu, 2013. "Living With Ambiguity: Pricing Mortality-Linked Securities With Smooth Ambiguity Preferences," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 80(3), pages 705-732, September.
    21. Simas Kucinskas, 2015. "Liquidity Creation without Banks," Tinbergen Institute Discussion Papers 15-101/VI, Tinbergen Institute.
    22. Simas Kucinskas, 2015. "Liquidity creation without banks," DNB Working Papers 482, Netherlands Central Bank, Research Department.
    23. 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.
    24. Michael Jerison & John K.-H. Quah, 2006. "Law of Demand," Discussion Papers 06-07, University at Albany, SUNY, Department of Economics.

    More about this item

    Keywords

    demand functions; monotonicity; consumer's utility function;

    JEL classification:

    • D5 - Microeconomics - - General Equilibrium and Disequilibrium

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