IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v22y2003i4p743-771.html
   My bibliography  Save this article

Existence of a competitive equilibrium in a one sector growth model with heterogeneous agents and irreversible investment

Author

Listed:
  • Cuong Le Van
  • Yiannis Vailakis

Abstract

Wr prove existence of a competitive equilibrium in a version of a Ramsey (one sector) model in which agents are heterogeneous and gross investment is constrained to be non negative. We do so by converting the infinite-dimensional fixed point problem tated in terms of prices and commodities into a finite-dimensional Negishi problem involving individual weights in a social value function. This method allows us to obtain detailed results concerning the properties of competitive eqilibria. Because of the simplicity of techniques utilized our approach is amenable to be adapted by practioners in analogous problems often studied in macroeconomics
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Cuong Le Van & Yiannis Vailakis, 2003. "Existence of a competitive equilibrium in a one sector growth model with heterogeneous agents and irreversible investment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(4), pages 743-771, November.
  • Handle: RePEc:spr:joecth:v:22:y:2003:i:4:p:743-771
    DOI: 10.1007/s00199-002-0355-y
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00199-002-0355-y
    Download Restriction: Access to full text is restricted to subscribers.

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. Galor, Oded & Zang, Hyoungsoo, 1997. "Fertility, income distribution, and economic growth: Theory and cross-country evidence," Japan and the World Economy, Elsevier, vol. 9(2), pages 197-229, May.
    3. Dahan, Momi & Tsiddon, Daniel, 1998. "Demographic Transition, Income Distribution, and Economic Growth," Journal of Economic Growth, Springer, vol. 3(1), pages 29-52, March.
    4. Roland Bénabou, 1996. "Inequality and Growth," NBER Chapters, in: NBER Macroeconomics Annual 1996, Volume 11, pages 11-92, National Bureau of Economic Research, Inc.
    5. Heckman, James J, 1976. "A Life-Cycle Model of Earnings, Learning, and Consumption," Journal of Political Economy, University of Chicago Press, vol. 84(4), pages 11-44, August.
    6. Kremer, Michael & Chen, Daniel L, 2002. "Income Distribution Dynamics with Endogenous Fertility," Journal of Economic Growth, Springer, vol. 7(3), pages 227-258, September.
    7. Gary S. Becker & Robert J. Barro, 1988. "A Reformulation of the Economic Theory of Fertility," The Quarterly Journal of Economics, Oxford University Press, vol. 103(1), pages 1-25.
    8. Morand, Olivier F, 1999. "Endogenous Fertility, Income Distribution, and Growth," Journal of Economic Growth, Springer, vol. 4(3), pages 331-349, September.
    9. Sachs, Jeffrey D & Warner, Andrew M, 1997. "Fundamental," American Economic Review, American Economic Association, vol. 87(2), pages 184-188, May.
    10. Perotti, Roberto, 1996. "Growth, Income Distribution, and Democracy: What the Data Say," Journal of Economic Growth, Springer, vol. 1(2), pages 149-187, June.
    11. Barro, Robert J, 2000. "Inequality and Growth in a Panel of Countries," Journal of Economic Growth, Springer, vol. 5(1), pages 5-32, March.
    12. Deininger, K & Squire, L, 1996. "Measuring Income Inequality : A New Data-Base," Papers 537, Harvard - Institute for International Development.
    13. Robert Haveman & Barbara Wolfe, 1995. "The Determinants of Children's Attainments: A Review of Methods and Findings," Journal of Economic Literature, American Economic Association, vol. 33(4), pages 1829-1878, December.
    14. Glomm, Gerhard & Ravikumar, B, 1992. "Public versus Private Investment in Human Capital Endogenous Growth and Income Inequality," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 818-834, August.
    15. Roland Benabou, 1996. "Inequality and Growth," LIS Working papers 142, LIS Cross-National Data Center in Luxembourg.
    Full references (including those not matched with items on IDEAS)

    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. David de la Croix & Matthias Doepke, 2003. "Inequality and Growth: Why Differential Fertility Matters," American Economic Review, American Economic Association, vol. 93(4), pages 1091-1113, September.
    2. Christophe Ehrhart, 2009. "The effects of inequality on growth: a survey of the theoretical and empirical literature," Working Papers 107, ECINEQ, Society for the Study of Economic Inequality.
    3. Gründler, Klaus & Scheuermeyer, Philipp, 2015. "Income inequality, economic growth, and the effect of redistribution," W.E.P. - Würzburg Economic Papers 95, University of Würzburg, Chair for Monetary Policy and International Economics.
    4. Andrew Berg & Jonathan D. Ostry & Charalambos G. Tsangarides & Yorbol Yakhshilikov, 2018. "Redistribution, inequality, and growth: new evidence," Journal of Economic Growth, Springer, vol. 23(3), pages 259-305, September.
    5. Gründler, Klaus & Scheuermeyer, Philipp, 2018. "Growth effects of inequality and redistribution: What are the transmission channels?," Journal of Macroeconomics, Elsevier, vol. 55(C), pages 293-313.
    6. Momota, Akira, 2009. "A population-macroeconomic growth model for currently developing countries," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 431-453, February.
    7. Kremer, Michael & Chen, Daniel L, 2002. "Income Distribution Dynamics with Endogenous Fertility," Journal of Economic Growth, Springer, vol. 7(3), pages 227-258, September.
    8. Amparo Castelló-Climent, 2010. "Channels through Which Human Capital Inequality Influences Economic Growth," Journal of Human Capital, University of Chicago Press, vol. 4(4), pages 394-450.
    9. Oded, Galor, 2011. "Inequality, Human Capital Formation, and the Process of Development," Handbook of the Economics of Education, in: Erik Hanushek & Stephen Machin & Ludger Woessmann (ed.), Handbook of the Economics of Education, edition 1, volume 4, chapter 0, pages 441-493, Elsevier.
    10. Marrero, Gustavo A. & Rodríguez, Juan G., 2013. "Inequality of opportunity and growth," Journal of Development Economics, Elsevier, vol. 104(C), pages 107-122.
    11. David De La Croix & Matthias Doepke, 2009. "To Segregate or to Integrate: Education Politics and Democracy," Review of Economic Studies, Oxford University Press, vol. 76(2), pages 597-628.
    12. Charles-Coll, Jorge A., 2010. "The optimal rate of inequality: A framework for the relationship between income inequality and economic growth," MPRA Paper 28921, University Library of Munich, Germany.
    13. Panizza, Ugo, 2002. "Income Inequality and Economic Growth: Evidence from American Data," Journal of Economic Growth, Springer, vol. 7(1), pages 25-41, March.
    14. Keefer, Philip & Knack, Stephen, 2002. "Polarization, Politics and Property Rights: Links between Inequality and Growth," Public Choice, Springer, vol. 111(1-2), pages 127-154, March.
    15. Lewis S. Davis, 2004. "Explaining the Evidence on Inequality and Growth: Informality and Redistribution," DEGIT Conference Papers c009_032, DEGIT, Dynamics, Economic Growth, and International Trade.
    16. Matthew Odedokun & Jeffery I. Round, 2001. "Determinants of Income Inequality and its Effects on Economic Growth: Evidence from African Countries," WIDER Working Paper Series DP2001-103, World Institute for Development Economic Research (UNU-WIDER).
    17. Verónica Amarante & Gioia de Melo, 2004. "Crecimiento económico y desigualdad: una revisión bibliográfica," Documentos de Trabajo (working papers) 04-02, Instituto de Economia - IECON.
    18. Grossmann, Volker, 2008. "Risky human capital investment, income distribution, and macroeconomic dynamics," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 19-42, March.
    19. Bourguignon, Francois, 2005. "The Effect of Economic Growth on Social Structures," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 27, pages 1701-1747, Elsevier.
    20. Jakub Bartak & Łukasz Jabłoński, 2020. "Inequality and growth: What comes from the different inequality measures?," Bulletin of Economic Research, Wiley Blackwell, vol. 72(2), pages 185-212, April.

    More about this item

    Keywords

    Keywords and Phrases: One sector growth model; Pareto-optimum; Competitive equilibrium; Heterogeneous agents; Non negative gross investment.; JEL Classification Numbers: C62; D51; E13.;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical

    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:spr:joecth:v:22:y:2003:i:4:p:743-771. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla) or (Springer Nature Abstracting and Indexing). General contact details of provider: http://www.springer.com .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.