IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/halshs-00796698.html
   My bibliography  Save this paper

Public Spending as a Source of Endogenous Business Cycles in a Ramsey Model with Many Agents

Author

Listed:
  • Kazuo Nishimura

    (Institute of Economic Research, Kyoto University - Kyoto University)

  • Carine Nourry

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique, IUF - Institut Universitaire de France - M.E.N.E.S.R. - Ministère de l'Education nationale, de l’Enseignement supérieur et de la Recherche)

  • Thomas Seegmuller

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Alain Venditti

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique, EDHEC Business School - Département Comptabilité, Droit, Finance et Economie)

Abstract

We introduce public spending, financed through income taxation, in the Ramsey model with heterogeneous agents. Public spending as a source of welfare generates more complex dynamics. In contrast to previous contributions focusing on similar models but with wasteful public spending, limit cycles through Hopf bifurcation and expectation-driven fluctuations appear if the degree of capital-labor substitution is large enough to be compatible with capital income monotonicity. Moreover, unlike frameworks with a representative agent, our results do not require externalities in production and are compatible with a weakly elastic labor supply with respect to wage.

Suggested Citation

  • Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2013. "Public Spending as a Source of Endogenous Business Cycles in a Ramsey Model with Many Agents," Working Papers halshs-00796698, HAL.
    • Handle: RePEc:hal:wpaper:halshs-00796698
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00796698
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00796698/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2012. "On existence, efficiency and bubbles of Ramsey equilibrium with borrowing constraints," Caepr Working Papers 2012-001, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
    3. Casey B. Mulligan, 2002. "Capital, Interest, and Aggregate Intertemporal Substitution," NBER Working Papers 9373, National Bureau of Economic Research, Inc.
    4. Rogerson, Richard & Wallenius, Johanna, 2009. "Micro and macro elasticities in a life cycle model with taxes," Journal of Economic Theory, Elsevier, vol. 144(6), pages 2277-2292, November.
    5. Le Van, Cuong & Nguyen, Manh-Hung & Vailakis, Yiannis, 2007. "Equilibrium dynamics in an aggregative model of capital accumulation with heterogeneous agents and elastic labor," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 287-317, April.
    6. Cazzavillan, Guido, 1996. "Public Spending, Endogenous Growth, and Endogenous Fluctuations," Journal of Economic Theory, Elsevier, vol. 71(2), pages 394-415, November.
    7. Blundell, Richard & Macurdy, Thomas, 1999. "Labor supply: A review of alternative approaches," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 27, pages 1559-1695, Elsevier.
    8. Duffy, John & Papageorgiou, Chris, 2000. "A Cross-Country Empirical Investigation of the Aggregate Production Function Specification," Journal of Economic Growth, Springer, vol. 5(1), pages 87-120, March.
    9. Teresa Lloyd‐Braga & Leonor Modesto & Thomas Seegmuller, 2008. "Tax Rate Variability and Public Spending as Sources of Indeterminacy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(3), pages 399-421, June.
    10. Becker, Robert A & Foias, Ciprian, 1994. "The Local Bifurcation of Ramsey Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 719-744, August.
    11. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 825-853, August.
    12. Bosi, Stefano & Seegmuller, Thomas, 2010. "On the Ramsey equilibrium with heterogeneous consumers and endogenous labor supply," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 475-492, July.
    13. Bosi, Stefano & Seegmuller, Thomas, 2010. "On the role of progressive taxation in a Ramsey model with heterogeneous households," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 977-996, November.
    14. N. Gregory Mankiw, 2000. "The Savers-Spenders Theory of Fiscal Policy," American Economic Review, American Economic Association, vol. 90(2), pages 120-125, May.
    15. Becker, Robert A. & Foias, Ciprian, 1987. "A characterization of Ramsey equilibrium," Journal of Economic Theory, Elsevier, vol. 41(1), pages 173-184, February.
    16. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
    17. Woodford, Michael, 1986. "Stationary sunspot equilibria in a finance constrained economy," Journal of Economic Theory, Elsevier, vol. 40(1), pages 128-137, October.
    18. Philippe Michel & Pierre Pestieau, 1999. "Fiscal Policy when Individuals Differ with Regard to Altruism and Labor Supply," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(2), pages 187-203, April.
    19. Annette Vissing-Jørgensen & Orazio P. Attanasio, 2003. "Stock-Market Participation, Intertemporal Substitution, and Risk-Aversion," American Economic Review, American Economic Association, vol. 93(2), pages 383-391, May.
    20. Jang‐Ting Guo & Sharon G. Harrison, 2008. "Useful Government Spending and Macroeconomic (In)stability under Balanced‐Budget Rules," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(3), pages 383-397, June.
    21. Robert A. Becker, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(2), pages 375-382.
    22. Sorger, Gerhard, 2002. "On the Long-Run Distribution of Capital in the Ramsey Model," Journal of Economic Theory, Elsevier, vol. 105(1), pages 226-243, July.
    23. Jonathan Gruber, 2006. "A Tax-Based Estimate of the Elasticity of Intertemporal Substitution," NBER Working Papers 11945, National Bureau of Economic Research, Inc.
    24. Zhang, Junxi, 2000. "Public services, increasing returns, and equilibrium dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 227-246, February.
    25. Ni, Shawn, 1995. "An empirical analysis on the substitutability between private consumption and government purchases," Journal of Monetary Economics, Elsevier, vol. 36(3), pages 593-605, December.
    26. Cuong Le Van & Yiannis Vailakis, 2003. "Existence of a competitive equilibrium in a one sector growth model with heterogeneous agents and irreversible investment," Post-Print halshs-00119095, HAL.
    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. Becker, Robert A. & Borissov, Kirill & Dubey, Ram Sewak, 2015. "Ramsey equilibrium with liberal borrowing," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 296-304.
    2. Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2015. "On the (de)stabilizing effect of public debt in a Ramsey model with heterogeneous agents," International Journal of Economic Theory, The International Society for Economic Theory, vol. 11(1), pages 7-24, March.
    3. Becker, Robert A. & Borissov, Kirill & Dubey, Ram Sewak, 2015. "Ramsey equilibrium with liberal borrowing," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 296-304.

    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. Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2015. "On the (de)stabilizing effect of public debt in a Ramsey model with heterogeneous agents," International Journal of Economic Theory, The International Society for Economic Theory, vol. 11(1), pages 7-24, March.
    2. Bosi, Stefano & Seegmuller, Thomas, 2010. "On the role of progressive taxation in a Ramsey model with heterogeneous households," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 977-996, November.
    3. repec:ipg:wpaper:4 is not listed on IDEAS
    4. Bosi, Stefano & Seegmuller, Thomas, 2010. "On the Ramsey equilibrium with heterogeneous consumers and endogenous labor supply," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 475-492, July.
    5. Bosi, Stefano & Ismael, Mohanad & Venditti, Alain, 2016. "Collateral and growth cycles with heterogeneous agents," Journal of Macroeconomics, Elsevier, vol. 48(C), pages 327-350.
    6. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2012. "On existence, efficiency and bubbles of Ramsey equilibrium with borrowing constraints," CAEPR Working Papers 2012-001, Center for Applied Economics and Policy Research, Department of Economics, Indiana University Bloomington.
    7. repec:ipg:wpaper:201404 is not listed on IDEAS
    8. repec:ipg:wpaper:2013-004 is not listed on IDEAS
    9. Robert Becker & Stefano Bosi & Cuong Van & Thomas Seegmuller, 2015. "On existence and bubbles of Ramsey equilibrium with borrowing constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(2), pages 329-353, February.
    10. Stefano Bosi & Cuong Le Van, 2011. "On the existence of a Ramsey equilibrium with endogenous labor supply and borrowing constraints," Post-Print halshs-00612131, HAL.
    11. repec:hal:psewpa:halshs-00793530 is not listed on IDEAS
    12. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2012. "On existence, efficiency and bubbles of Ramsey equilibrium with borrowing constraints," Caepr Working Papers 2012-001, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington.
    13. Stefano Bosi & Eleni Iliopulos & Hubert Jayet, 2011. "Optimal Immigration Policy: When The Public Good Is Rival," The Japanese Economic Review, Japanese Economic Association, vol. 62(4), pages 460-484, December.
    14. Nourry, Carine & Seegmuller, Thomas & Venditti, Alain, 2013. "Aggregate instability under balanced-budget consumption taxes: A re-examination," Journal of Economic Theory, Elsevier, vol. 148(5), pages 1977-2006.
    15. Robert Becker & Ram Dubey & Tapan Mitra, 2014. "On Ramsey equilibrium: capital ownership pattern and inefficiency," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 565-600, April.
    16. Mohanad Ismael, 2014. "Progressive income taxes and macroeconomic instability," Montenegrin Journal of Economics, Economic Laboratory for Transition Research (ELIT), vol. 10(2), pages 49-61.
    17. Becker, Robert A. & Borissov, Kirill & Dubey, Ram Sewak, 2015. "Ramsey equilibrium with liberal borrowing," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 296-304.
    18. Frédéric Dufourt & Kazuo Nishimura & Alain Venditti, 2013. "Indeterminacy and Sunspot Fluctuations in Two-Sector RBC models: Theory and Calibration," AMSE Working Papers 1315, Aix-Marseille School of Economics, France, revised Nov 2009.
    19. Mohanad ISMAEL, 2009. "Social Inequalities and Macroeconomic Instability," EcoMod2009 21500044, EcoMod.
    20. Teresa Lloyd‐Braga & Leonor Modesto & Thomas Seegmuller, 2008. "Tax Rate Variability and Public Spending as Sources of Indeterminacy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(3), pages 399-421, June.
    21. Mohanad Ismael, 2010. "Progressive income taxes and macroeconomic instability," Documents de recherche 10-13, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    22. Becker, Robert A. & Borissov, Kirill & Dubey, Ram Sewak, 2015. "Ramsey equilibrium with liberal borrowing," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 296-304.
    23. Berger, Johannes & Strohner, Ludwig, 2020. "Documentation of the PUblic Policy Model for Austria and other European countries (PUMA)," Research Papers 11, EcoAustria – Institute for Economic Research.
    24. Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2013. "Destabilizing balanced-budget consumption taxes in multi-sector economies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(1), pages 113-130, March.

    More about this item

    Keywords

    indeterminacy; endogenous cycles; heterogeneous agents; public spending; endogenous labor supply; borrowing constraint;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:hal:wpaper:halshs-00796698. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.