IDEAS home Printed from https://ideas.repec.org/a/ecm/emetrp/v55y1987i3p515-31.html
   My bibliography  Save this article

Engel Curves Leading to the Weak Axiom in the Aggregate

Author

Listed:
  • Freixas, Xavier
  • Mas-Colell, Andreu

Abstract

For every range of admissible incomes, the authors characterize the class of Engel curves with the property that if an economy has, first, a price independent distribution of income and, second, preferences which are identical across consumers and generate Engel curves in the class, then the corresponding aggregate demand function satisfies the Weak Axiom of Revealed Preference. This class is defined by two simple conditions. The no-torsion condition says that, in the relevant range of income, the Engel curve is contained in a plane through the origin. The uniform-curvature condition says that, in addition, the Engel curve is either convex or concave to the origin. Copyright 1987 by The Econometric Society.

Suggested Citation

  • 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.
    • Handle: RePEc:ecm:emetrp:v:55:y:1987:i:3:p:515-31
    as

    Download full text from publisher

    File URL: http://links.jstor.org/sici?sici=0012-9682%28198705%2955%3A3%3C515%3AECLTTW%3E2.0.CO%3B2-G&origin=repec
    File Function: full text
    Download Restriction: Access to full text is restricted to JSTOR subscribers. See http://www.jstor.org for details.
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Jerison, Michael, 1984. "Aggregation and pairwise aggregation of demand when the distribution of income is fixed," Journal of Economic Theory, Elsevier, vol. 33(1), pages 1-31, June.
    2. Debreu, Gerard, 1976. "Smooth Preferences: A Corrigendum," Econometrica, Econometric Society, vol. 44(4), pages 831-832, July.
    3. Hildenbrand, Werner, 1983. "On the "Law of Demand."," Econometrica, Econometric Society, vol. 51(4), pages 997-1019, July.
    4. Deaton,Angus & Muellbauer,John, 1980. "Economics and Consumer Behavior," Cambridge Books, Cambridge University Press, number 9780521296762, September.
    5. Debreu, Gerard, 1972. "Smooth Preferences," Econometrica, Econometric Society, vol. 40(4), pages 603-615, July.
    6. Mas-Colell, Andreu, 1974. "Continuous and smooth consumers: Approximation theorems," Journal of Economic Theory, Elsevier, vol. 8(3), pages 305-336, July.
    7. Kihlstrom, Richard E & Mas-Colell, Andreu & Sonnenschein, Hugo, 1976. "The Demand Theory of the Weak Axiom of Revealed Preference," Econometrica, Econometric Society, vol. 44(5), pages 971-978, September.
    8. Polterovich, Victor & Mityushin, Leonid, 1978. "Criteria for Monotonicity of Demand Functions," MPRA Paper 20097, University Library of Munich, Germany.
    9. John Muellbauer, 1975. "Aggregation, Income Distribution and Consumer Demand," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(4), pages 525-543.
    10. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    11. Lenninghaus, Jurgen, 1984. "On a market demand function satisfying the weak but not the strong axiom of revealed preference," Economics Letters, Elsevier, vol. 14(2-3), pages 149-153.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Brighi, Luigi, 2004. "A stronger criterion for the Weak Weak Axiom," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 93-103, February.
    2. Fousekis, Panos & Lazaridis, Panagiotis, 2001. "Food Expenditure Patterns of the Urban and the Rural Households in Greece. A Kernel Regression Analysis," Agricultural Economics Review, Greek Association of Agricultural Economists, vol. 2(01), pages 1-16, January.
    3. Ivan Boldyrev & Olessia Kirtchik, 2014. "General Equilibrium Theory behind the Iron Curtain: The Case of Victor Polterovich," History of Political Economy, Duke University Press, vol. 46(3), pages 435-461, Fall.
    4. Jean-Michel Grandmont & Alan Kirman, 1996. "Aggregation, Learning and Rationality," International Economic Association Series, in: Beth Allen (ed.), Economics in a Changing World, chapter 3, pages 63-89, Palgrave Macmillan.
    5. Laisney, François, 1991. "Mikroökonometrische Untersuchung von Aggregationsproblemen: Eine partielle Übersicht," ZEW Discussion Papers 91-03, ZEW - Leibniz Centre for European Economic Research.
    6. Andrea Mantovi, 2014. "On Luxury and Equilibrium," Review of Economic Analysis, Digital Initiatives at the University of Waterloo Library, vol. 6(2), pages 87-118, December.
    7. 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.
    8. Alexis Akira Toda & Kieran James Walsh, 2017. "Edgeworth box economies with multiple equilibria," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 65-80, April.
    9. Corrado Benassi & Alessandra Chirco & Caterina Colombo, 2005. "A Model Of Monopolistic Competition With Personal Income Dispersion," Metroeconomica, Wiley Blackwell, vol. 56(3), pages 305-317, July.
    10. Lilia Maliar & Serguei Maliar, 2005. "An Analytical Construction Of Constantinides¿ Social Utility Function," Working Papers. Serie AD 2005-25, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    11. Masao Ogaki, 2003. "Aggregation under Complete Markets," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 977-986, October.
    12. Michael Jerison & John K.-H. Quah, 2006. "Law of Demand," Discussion Papers 06-07, University at Albany, SUNY, Department of Economics.
    13. Krysiak, Frank C. & Krysiak, Daniela, 2002. "Aggregation of Dynamic Systems and the Existence of a Regeneration Function," Journal of Environmental Economics and Management, Elsevier, vol. 44(3), pages 517-539, November.
    14. Neary, Peter, 2000. "True Multilateral Indexes for International Comparisons of Real Income: Theory and Empirics," CEPR Discussion Papers 2590, C.E.P.R. Discussion Papers.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. John K.-H. Quah, 2000. "The Monotonicity of Individual and Market Demand," Econometrica, Econometric Society, vol. 68(4), pages 911-930, July.
    2. William Barnett & Ousmane Seck, 2006. "Rotterdam vs Almost Ideal Models: Will the Best Demand Specification Please Stand Up?," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 200605, University of Kansas, Department of Economics.
    3. Pablo D. Fajgelbaum & Amit K. Khandelwal, 2016. "Measuring the Unequal Gains from Trade," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(3), pages 1113-1180.
    4. Andrea Mantovi, 2016. "Smooth preferences, symmetries and expansion vector fields," Journal of Economics, Springer, vol. 119(2), pages 147-169, October.
    5. Chavas, Jean-Paul & Menon, Martina & Pagani, Elisa & Perali, Federico, 2018. "Collective household welfare and intra-household inequality," Theoretical Economics, Econometric Society, vol. 13(2), May.
    6. 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.
    7. Hayashi, Takashi, 2008. "A note on small income effects," Journal of Economic Theory, Elsevier, vol. 139(1), pages 360-379, March.
    8. repec:dau:papers:123456789/6360 is not listed on IDEAS
    9. Kehoe, Timothy J. & Levine, David K., 1984. "Regularity in overlapping generations exchange economies," Journal of Mathematical Economics, Elsevier, vol. 13(1), pages 69-93, April.
    10. João Correia-da-Silva & Carlos Hervés-Beloso, 2014. "Irrelevance of private information in two-period economies with more goods than states of nature," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(2), pages 439-455, February.
    11. Mette Christensen, 2007. "Integrability of Demand Accounting for Unobservable Heterogeneity: A Test on Panel Data," Economics Discussion Paper Series 0713, Economics, The University of Manchester.
    12. Yves Balasko & Mich Tvede, 2010. "General equilibrium without utility functions: how far to go?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 201-225, October.
    13. João Correia-da-Silva, 2015. "Two-period economies with price-contingent deliveries," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(3), pages 509-525, August.
    14. Diego Comin & Danial Lashkari & Martí Mestieri, 2021. "Structural Change With Long‐Run Income and Price Effects," Econometrica, Econometric Society, vol. 89(1), pages 311-374, January.
    15. Wahl, Thomas Iver, 1989. "Modeling dynamic adjustment in Japanese livestock markets under trade liberalization," ISU General Staff Papers 1989010108000010093, Iowa State University, Department of Economics.
    16. Kesavan, Thulasiram, 1988. "Monte Carlo experiments of market demand theory," ISU General Staff Papers 198801010800009854, Iowa State University, Department of Economics.
    17. Nobel Prize Committee, 2015. "Consumption, Poverty, and Welfare," Nobel Prize in Economics documents 2015-2, Nobel Prize Committee.
    18. Kannai, Yakar, 1989. "A characterization of monotone individual demand functions," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 87-94, February.
    19. Hosoya, Yuhki, 2017. "The relationship between revealed preference and the Slutsky matrix," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 127-146.
    20. Hosoya, Yuhki, 2013. "Measuring utility from demand," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 82-96.
    21. Pierre-André Chiappori, 1990. "La théorie du consommateur est-elle réfutable ?," Revue Économique, Programme National Persée, vol. 41(6), pages 1001-1026.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ecm:emetrp:v:55:y:1987:i:3:p:515-31. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/essssea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.