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On the (De)Stabilizing Effect of Public Debt in a Ramsey Model with Heterogeneous Agents

Author

Listed:
  • Kazuo Nishimura

    (RIEB, Kobe University & KIER, Kyoto University)

  • Carine Nourry

    (Aix-Marseille University (Aix-Marseille School of Economics), CNRS-GREQAM, EHESS & Institut Universitaire de France)

  • Thomas Seegmuller

    (Aix-Marseille University (Aix-Marseille School of Economics), CNRS-GREQAM & EHESS)

  • Alain Venditti

    (Aix-Marseille University (Aix-Marseille School of Economics), CNRS-GREQAM, EHESS & EDHEC)

Abstract
We introduce public debt in a Ramsey model with heterogenous agents and a public spending externality affecting utility which is financed by income tax and public debt. We show that public debt considered as a fixed portion of GDP can have a stabilizing or destabilizing effect depending on some fundamental elasticities. When the public spending externality is weak and the elasticity of capital labor substitution is low enough, public debt can only be destabilizing, generating damped or persistent macroeconomic fluctuations. Whereas when the public spending externality and the elasticity of capital labor substitution are strong enough, public debt can be stabilizing, driving to monotone convergence an economy experiencing damped or persistent fluctuations without debt.

Suggested Citation

  • Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2014. "On the (De)Stabilizing Effect of Public Debt in a Ramsey Model with Heterogeneous Agents," AMSE Working Papers 1436, Aix-Marseille School of Economics, France, revised Jun 2014.
    • Handle: RePEc:aim:wpaimx:1436
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    References listed on IDEAS

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    1. Cazzavillan, Guido, 1996. "Public Spending, Endogenous Growth, and Endogenous Fluctuations," Journal of Economic Theory, Elsevier, vol. 71(2), pages 394-415, November.
    2. Carlstrom, Charles T & Fuerst, Timothy S, 1997. "Agency Costs, Net Worth, and Business Fluctuations: A Computable General Equilibrium Analysis," American Economic Review, American Economic Association, vol. 87(5), pages 893-910, December.
    3. Lawrence J. Christiano & Roberto Motto & Massimo Rostagno, 2014. "Risk Shocks," American Economic Review, American Economic Association, vol. 104(1), pages 27-65, January.
    4. Bernanke, Ben S. & Gertler, Mark & Gilchrist, Simon, 1999. "The financial accelerator in a quantitative business cycle framework," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 21, pages 1341-1393, Elsevier.
    5. Canlin Li & Min Wei, 2013. "Term Structure Modeling with Supply Factors and the Federal Reserve's Large-Scale Asset Purchase Progarms," International Journal of Central Banking, International Journal of Central Banking, vol. 9(1), pages 3-39, March.
    6. Nishimura, Kazuo & Nourry, Carine & Seegmuller, Thomas & Venditti, Alain, 2016. "Public Spending As A Source Of Endogenous Business Cycles In A Ramsey Model With Many Agents," Macroeconomic Dynamics, Cambridge University Press, vol. 20(2), pages 504-524, March.
    7. Dimitri Vayanos & Jean‐Luc Vila, 2021. "A Preferred‐Habitat Model of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 89(1), pages 77-112, January.
    8. Thomas Herndon & Michael Ash & Robert Pollin, 2014. "Does high public debt consistently stifle economic growth? A critique of Reinhart and Rogoff," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 38(2), pages 257-279.
    9. James D. Hamilton & Jing Cynthia Wu, 2012. "The Effectiveness of Alternative Monetary Policy Tools in a Zero Lower Bound Environment," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 44(s1), pages 3-46, February.
    10. Carmen M. Reinhart & Vincent R. Reinhart & Kenneth S. Rogoff, 2012. "Public Debt Overhangs: Advanced-Economy Episodes since 1800," Journal of Economic Perspectives, American Economic Association, vol. 26(3), pages 69-86, Summer.
    11. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2011. "The Effects of Quantitative Easing on Interest Rates: Channels and Implications for Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 43(2 (Fall)), pages 215-287.
    12. 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.
    13. Douglas Sutherland & Peter Hoeller & Rossana Merola & Volker Ziemann, 2012. "Debt and Macroeconomic Stability," OECD Economics Department Working Papers 1003, OECD Publishing.
    14. Joseph Gagnon & Matthew Raskin & Julie Remache & Brian Sack, 2011. "The Financial Market Effects of the Federal Reserve's Large-Scale Asset Purchases," International Journal of Central Banking, International Journal of Central Banking, vol. 7(1), pages 3-43, March.
    15. Bom, Pedro R.D. & Ligthart, Jenny E., 2014. "Public infrastructure investment, output dynamics, and balanced budget fiscal rules," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 334-354.
    16. repec:ipg:wpaper:4 is not listed on IDEAS
    17. 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.
    18. Matteo Iacoviello, 2005. "House Prices, Borrowing Constraints, and Monetary Policy in the Business Cycle," American Economic Review, American Economic Association, vol. 95(3), pages 739-764, June.
    19. Zhang, Junxi, 2000. "Public services, increasing returns, and equilibrium dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 227-246, February.
    20. 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.
    21. Cúrdia, Vasco & Woodford, Michael, 2011. "The central-bank balance sheet as an instrument of monetarypolicy," Journal of Monetary Economics, Elsevier, vol. 58(1), pages 54-79, January.
    22. Eric T. Swanson, 2011. "Let's Twist Again: A High-Frequency Event-study Analysis of Operation Twist and Its Implications for QE2," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 42(1 (Spring), pages 151-207.
    23. Frank Smets & Rafael Wouters, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," American Economic Review, American Economic Association, vol. 97(3), pages 586-606, June.
    24. 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.
    25. Ilzetzki, Ethan & Mendoza, Enrique G. & Végh, Carlos A., 2013. "How big (small?) are fiscal multipliers?," Journal of Monetary Economics, Elsevier, vol. 60(2), pages 239-254.
    26. Hancock, Diana & Passmore, Wayne, 2011. "Did the Federal Reserve's MBS purchase program lower mortgage rates?," Journal of Monetary Economics, Elsevier, vol. 58(5), pages 498-514.
    27. 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.
    28. repec:hal:psewpa:halshs-00793530 is not listed on IDEAS
    29. Miguel A. León-Ledesma & Peter McAdam & Alpo Willman, 2010. "Identifying the Elasticity of Substitution with Biased Technical Change," American Economic Review, American Economic Association, vol. 100(4), pages 1330-1357, September.
    30. Carmen M. Reinhart & Kenneth S. Rogoff, 2010. "Growth in a Time of Debt," American Economic Review, American Economic Association, vol. 100(2), pages 573-578, May.
    31. repec:ipg:wpaper:2013-004 is not listed on IDEAS
    32. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
    33. Mark Gertler & Peter Karadi, 2013. "QE 1 vs. 2 vs. 3. . . : A Framework for Analyzing Large-Scale Asset Purchases as a Monetary Policy Tool," International Journal of Central Banking, International Journal of Central Banking, vol. 9(1), pages 5-53, January.
    34. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2011. "The Effects of Quantitative Easing on Interest Rates: Channels and Implications for Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 42(2 (Fall)), pages 215-287.
    35. Campbell, John Y. & Mankiw, N. Gregory, 1989. "International evidence on the persistence of economic fluctuations," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 319-333, March.
    36. 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.
    37. Reinhart, Carmen & Rogoff, Kenneth, 2010. "Debt and Growth Revisited," MPRA Paper 24376, University Library of Munich, Germany.
    38. Stephen D. Williamson, 2012. "Liquidity, Monetary Policy, and the Financial Crisis: A New Monetarist Approach," American Economic Review, American Economic Association, vol. 102(6), pages 2570-2605, October.
    39. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521806428.
    40. 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.
    41. Bernanke, Ben & Gertler, Mark, 1989. "Agency Costs, Net Worth, and Business Fluctuations," American Economic Review, American Economic Association, vol. 79(1), pages 14-31, March.
    42. Gertler, Mark & Karadi, Peter, 2011. "A model of unconventional monetary policy," Journal of Monetary Economics, Elsevier, vol. 58(1), pages 17-34, January.
    43. Becker, Robert A. & Foias, Ciprian, 1987. "A characterization of Ramsey equilibrium," Journal of Economic Theory, Elsevier, vol. 41(1), pages 173-184, February.
    44. 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.
    45. Gauti B. Eggertsson & Michael Woodford, 2003. "The Zero Bound on Interest Rates and Optimal Monetary Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 34(1), pages 139-235.
    46. Rainer Klump & Peter McAdam & Alpo Willman, 2007. "Factor Substitution and Factor-Augmenting Technical Progress in the United States: A Normalized Supply-Side System Approach," The Review of Economics and Statistics, MIT Press, vol. 89(1), pages 183-192, February.
    47. 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.
    48. Becker, Robert A & Boyd, John H, III & Foias, Ciprian, 1991. "The Existence of Ramsey Equilibrium," Econometrica, Econometric Society, vol. 59(2), pages 441-460, March.
    49. 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.
    50. Gertler, Mark & Kiyotaki, Nobuhiro, 2010. "Financial Intermediation and Credit Policy in Business Cycle Analysis," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 11, pages 547-599, Elsevier.
    51. Sorger, Gerhard, 1994. "On the Structure of Ramsey Equilibrium: Cycles, Indeterminacy, and Sunspots," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 4(5), pages 745-764, August.
    52. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
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    Cited by:

    1. Arnaud Cheron & Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2019. "Growth and Public Debt: What Are the Relevant Trade‐Offs?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 51(2-3), pages 655-682, March.
    2. 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.
    3. Boucekkine, Raouf & Nishimura, Kazuo & Venditti, Alain, 2015. "Introduction to financial frictions and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 271-275.
    4. KONDO Atsumasa, "undated". "The Role of Productivity Growth Rates for Rising Inequality in an Economy with Heterogeneous Agents," ESRI Discussion paper series 326, Economic and Social Research Institute (ESRI).
    5. Sueyoshi, Toshiyuki & Yuan, Yan, 2016. "Marginal Rate of Transformation and Rate of Substitution measured by DEA environmental assessment: Comparison among European and North American nations," Energy Economics, Elsevier, vol. 56(C), pages 270-287.
    6. Nishimura, Kazuo & Seegmuller, Thomas & Venditti, Alain, 2015. "Fiscal policy, debt constraint and expectations-driven volatility," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 305-316.

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    More about this item

    Keywords

    endogenous cycles; heterogeneous agents; public spending; public debt; 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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