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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
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. N. Gregory Mankiw, 2000. "The Savers-Spenders Theory of Fiscal Policy," American Economic Review, American Economic Association, vol. 90(2), pages 120-125, May.
    5. 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.
    6. Casey B. Mulligan, 2002. "Capital, Interest, and Aggregate Intertemporal Substitution," NBER Working Papers 9373, National Bureau of Economic Research, Inc.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Cazzavillan, Guido, 1996. "Public Spending, Endogenous Growth, and Endogenous Fluctuations," Journal of Economic Theory, Elsevier, vol. 71(2), pages 394-415, November.
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. Jonathan Gruber, 2006. "A Tax-Based Estimate of the Elasticity of Intertemporal Substitution," NBER Working Papers 11945, National Bureau of Economic Research, Inc.
    18. Zhang, Junxi, 2000. "Public services, increasing returns, and equilibrium dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 227-246, February.
    19. Becker, Robert A. & Foias, Ciprian, 1987. "A characterization of Ramsey equilibrium," Journal of Economic Theory, Elsevier, vol. 41(1), pages 173-184, February.
    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. 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.
    22. 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.
    23. Woodford, Michael, 1986. "Stationary sunspot equilibria in a finance constrained economy," Journal of Economic Theory, Elsevier, vol. 40(1), pages 128-137, October.
    24. 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.
    25. 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.
    26. 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.
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    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.

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    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

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