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

  • Kazuo Nishimura

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

  • Carine Nourry

    ()

    (AMSE - Aix-Marseille School of Economics - EHESS - École des hautes études en sciences sociales - Centre national de la recherche scientifique (CNRS) - Ecole Centrale Marseille (ECM) - AMU - Aix-Marseille Université, IUF - Institut Universitaire de France - M.E.N.E.S.R. - Ministère de l'Éducation nationale, de l’Enseignement supérieur et de la Recherche)

  • Thomas Seegmuller

    ()

    (AMSE - Aix-Marseille School of Economics - EHESS - École des hautes études en sciences sociales - Centre national de la recherche scientifique (CNRS) - Ecole Centrale Marseille (ECM) - AMU - Aix-Marseille Université)

  • Alain Venditti

    ()

    (AMSE - Aix-Marseille School of Economics - EHESS - École des hautes études en sciences sociales - Centre national de la recherche scientifique (CNRS) - Ecole Centrale Marseille (ECM) - AMU - Aix-Marseille Université, EDHEC Business School - Département Comptabilité, Droit, Finance et Economie)

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.

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Paper provided by HAL in its series Working Papers with number halshs-00796698.

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Date of creation: Feb 2013
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Handle: RePEc:hal:wpaper:halshs-00796698
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  1. N. Gregory Mankiw, 1999. "The Savers-Spenders Theory of Fiscal Policy," Harvard Institute of Economic Research Working Papers 1888, Harvard - Institute of Economic Research.
  2. 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.
  3. 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.
  4. Robert Becker & Stefano Bosi & Cuong Le Van & Thomas Seegmuller, 2013. "On existence, effciency and bubbles of Ramsey equilibrium with borrowing constraints," Working Papers 15, Development and Policies Research Center (DEPOCEN), Vietnam.
  5. MICHEL, Philippe & PESTIEAU, Pierre, . "Fiscal policy when individuals differ with regard to altruism and labor supply," CORE Discussion Papers RP 1381, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Richard Rogerson & Johanna Wallenius, 2007. "Micro and Macro Elasticities in a Life Cycle Model With Taxes," NBER Working Papers 13017, National Bureau of Economic Research, Inc.
  7. Woodford, Michael, 1986. "Stationary sunspot equilibria in a finance constrained economy," Journal of Economic Theory, Elsevier, vol. 40(1), pages 128-137, October.
  8. 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.
  9. Teresa Lloyd-Braga & Leonor Modesto & Thomas Seegmuller, 2008. "Tax Rate Variability and Public Spending as Sources of Indeterminacy," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00194395, HAL.
  10. Becker, Robert A. & Foias, Ciprian, 1987. "A characterization of Ramsey equilibrium," Journal of Economic Theory, Elsevier, vol. 41(1), pages 173-184, February.
  11. 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.
  12. Cazzavillan, Guido, 1996. "Public Spending, Endogenous Growth, and Endogenous Fluctuations," Journal of Economic Theory, Elsevier, vol. 71(2), pages 394-415, November.
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  14. Becker, Robert A & Foias, Ciprian, 1994. "The Local Bifurcation of Ramsey Equilibrium," Economic Theory, Springer, vol. 4(5), pages 719-44, August.
  15. Stefano Bosi & Thomas Seegmuller, 2007. "On the Ramsey equilibrium with heterogeneous consumers and endogenous labor supply," Documents de travail du Centre d'Economie de la Sorbonne v07003a, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Jul 2007.
  16. Stefano Bosi & Thomas Seegmuller, 2008. "On the role of progressive taxation in a Ramsey Model with heterogeneous households," Documents de travail du Centre d'Economie de la Sorbonne v08051, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  17. Cuong LE VAN & Yiannis VALAKIS, 2001. "Existence of a competitive equilibrium in one sector growth model with heterogeneous agents and irreversible investment," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2001018, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  18. Jonathan Gruber, 2006. "A Tax-Based Estimate of the Elasticity of Intertemporal Substitution," NBER Working Papers 11945, National Bureau of Economic Research, Inc.
  19. Sharon Harrison & Jang-Ting Guo, 2006. "Useful Government Spending and Macroeconomic (In)stability under Balanced-Budget Rules," Working Papers 0701, Barnard College, Department of Economics.
  20. Annette Vissing-Jorgensen, 2002. "Limited Asset Market Participation and the Elasticity of Intertemporal Substitution," NBER Working Papers 8896, National Bureau of Economic Research, Inc.
  21. Zhang, Junxi, 2000. "Public services, increasing returns, and equilibrium dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 227-246, February.
  22. 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.
  23. 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.
  24. 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, Oxford University Press, vol. 95(2), pages 375-382.
  25. Casey B. Mulligan, 2002. "Capital, Interest, and Aggregate Intertemporal Substitution," NBER Working Papers 9373, National Bureau of Economic Research, Inc.
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