IDEAS home Printed from https://ideas.repec.org/p/ctl/louvir/2001018.html
   My bibliography  Save this paper

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

Author

Listed:
  • Cuong LE VAN

    (CNRS, CERSEM, Université Paris 1, France)

  • Yiannis VALAKIS

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES))

Abstract

We 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 stated 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 equilibria. Because of the simplicity of the techniques utilized our approach is amenable to be adapted by practitioners in analogous problems often studied in macroeconomics

Suggested Citation

  • Cuong LE VAN & Yiannis VALAKIS, 2001. "Existence of a competitive equilibrium in one sector growth model with heterogeneous agents and irreversible investment," LIDAM Discussion Papers IRES 2001018, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    • Handle: RePEc:ctl:louvir:2001018
    as

    Download full text from publisher

    File URL: http://sites.uclouvain.be/econ/DP/IRES/2001-18.pdf
    Download Restriction: no
    ---><---

    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. Kremer, Michael & Chen, Daniel L, 2002. "Income Distribution Dynamics with Endogenous Fertility," Journal of Economic Growth, Springer, vol. 7(3), pages 227-258, September.
    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. 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.
    5. Roland Bénabou, 1996. "Inequality and Growth," NBER Chapters, in: NBER Macroeconomics Annual 1996, Volume 11, pages 11-92, National Bureau of Economic Research, Inc.
    6. 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.
    7. Gary S. Becker & Robert J. Barro, 1988. "A Reformulation of the Economic Theory of Fertility," The Quarterly Journal of Economics, President and Fellows of Harvard College, 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 Sources of Long-Run Growth," 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.
    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, Department of Economics.
    4. 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.
    5. 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.
    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. 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.
    8. 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.
    9. Andreas Schäfer, 2005. "The Interaction Between Endogenous Fertility And Inequality In The Political Economy," Manchester School, University of Manchester, vol. 73(4), pages 522-541, July.
    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. 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).
    12. Verónica Amarante & Gioia de Melo, 2004. "Crecimiento económico y desigualdad: una revisión bibliográfica," Documentos de Trabajo (working papers) 04-02, Instituto de Economía - IECON.
    13. 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.
    14. Andreas Schäfer, 2004. "The Political Economy and the Interaction between Endogenous Fertility and Inequality," DEGIT Conference Papers c009_041, DEGIT, Dynamics, Economic Growth, and International Trade.
    15. Panizza, Ugo, 2002. "Income Inequality and Economic Growth: Evidence from American Data," Journal of Economic Growth, Springer, vol. 7(1), pages 25-41, March.
    16. Akihito Asano, 2012. "Is There A “Double Bonus” From Reducing Inequality?," Economic Inquiry, Western Economic Association International, vol. 50(2), pages 551-562, April.
    17. 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.
    18. Seher Gülşah Topuz, 2022. "The Relationship Between Income Inequality and Economic Growth: Are Transmission Channels Effective?," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 162(3), pages 1177-1231, August.
    19. Matthias Doepke, 2004. "Accounting for Fertility Decline During the Transition to Growth," Journal of Economic Growth, Springer, vol. 9(3), pages 347-383, September.
    20. Schäfer, Andreas, 2002. "Endogenous Growth with Endogenous Fertility and Social Discrimination in Education," Thuenen-Series of Applied Economic Theory 35, University of Rostock, Institute of Economics.

    More about this item

    Keywords

    One sector growth model; Pareto-optimum; Competitive equilibrium; Heterogeneous agents; Non negative gross investment;
    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:ctl:louvir:2001018. 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: Virginie LEBLANC (email available below). General contact details of provider: https://edirc.repec.org/data/iruclbe.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.