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PUBLIC SPENDING AS A SOURCE OF ENDOGENOUS BUSINESS CYCLES IN A RAMSEY MODEL WITH MANY AGENTS

Published online by Cambridge University Press:  23 April 2014

Kazuo Nishimura ,
Carine Nourry ,
Thomas Seegmuller  and
Alain Venditti
Kazuo Nishimura*
Affiliation:
Kobe University and Institute of Economic Research, Kyoto University
Carine Nourry
Affiliation:
Aix-Marseille University (Aix-Marseille School of Economics) CNRS-GREQAM EHESS and IUF
Thomas Seegmuller
Affiliation:
Aix-Marseille University (Aix-Marseille School of Economics) CNRS-GREQAM and EHESS
Alain Venditti
Affiliation:
Aix-Marseille University (Aix-Marseille School of Economics) CNRS-GREQAM EHESS and EDHEC
*
Address correspondence to: Kazuo Nishimura, Institute of Economic Research, Kyoto University, Yoshidahonmachi, Sakyoku, Kyoto 606-8501, Japan; e-mail: nishimura@kier.kyoto-u.ac.jp.
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Abstract

We introduce public spending, financed through income taxation, into 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 high 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.

Keywords

Endogenous CyclesIndeterminacyHeterogeneous AgentsPublic SpendingEndogenous Labor SupplyBorrowing Constraint
Type
Articles
Information
Macroeconomic Dynamics , Volume 20 , Issue 2: Complexity in Economic Systems , March 2016 , pp. 504 - 524
Copyright
Copyright © Cambridge University Press 2014 

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References

REFERENCES

Becker, Robert A. (1980) On the long-run steady state in a simple dynamic model of equilibrium with heterogeneous households. Quarterly Journal of Economics 95, 375–382.CrossRefGoogle Scholar
Becker, Robert A., Bosi, Stefano, Van, Cuong Le, and Seegmuller, Thomas (2012) On Existence and Bubbles of Ramsey Equilibrium with Borrowing Constraints. AMSE working paper 2012-31. Forthcoming in Economic Theory.CrossRefGoogle Scholar
Becker, Robert A., Boyd, John H. III, and Foias, Ciprian (1991) The existence of Ramsey equilibrium. Econometrica 59, 441–460.CrossRefGoogle Scholar
Becker, Robert A. and Foias, Ciprian (1987) A characterization of Ramsey equilibrium. Journal of Economic Theory 41, 173–184.CrossRefGoogle Scholar
Becker, Robert A. and Foias, Ciprian (1994) The local bifurcation of Ramsey equilibrium. Economic Theory 4, 719–744.CrossRefGoogle Scholar
Blundell, Richard and MaCurdy, Thomas (1999) Labour supply: A review of alternative approaches. In Ashenfelter, Orley and Card, David (eds.), Handbook of Labor Economics, pp. 1559–1695. Amsterdam: North-Holland.Google Scholar
Bosi, Stefano and Seegmuller, Thomas (2010a) On the Ramsey equilibrium with heterogeneous consumers and endogenous labor supply. Journal of Mathematical Economics 46, 475–492.CrossRefGoogle Scholar
Bosi, Stefano and Seegmuller, Thomas (2010b) On the role of progressive taxation in a Ramsey model with heterogeneous households. Journal of Mathematical Economics 46, 977–996.CrossRefGoogle Scholar
Cazzavillan, Guido (1996) Public spending, endogenous growth, and endogenous fluctuations. Journal of Economic Theory 71, 394–415.CrossRefGoogle Scholar
Duffy, John and Papageorgiou, Chris (2000) A cross-country empirical investigation of the aggregate production function specification. Journal of Economic Growth 5, 87–120.CrossRefGoogle Scholar
Dufourt, Frédéric, Lloyd-Braga, Teresa, and Modesto, Leonor (2008) Indeterminacy, bifurcations and unemployment fluctuations. Macroeconomic Dynamics 12, 75–89.CrossRefGoogle Scholar
Dufourt, Frédéric, Lloyd-Braga, Teresa, and Modesto, Leonor (2011) Sunspot Equilibria and the Expectation-Driven Phillips Curve. Working paper, Université de Strasbourg, revised version.Google Scholar
Grandmont, Jean-Michel (2008) Negishi–Solow efficiency wages, unemployment insurance and dynamic deterministic indeterminacy. International Journal of Economic Theory 4, 247–272.CrossRefGoogle Scholar
Grandmont, Jean-Michel, Pintus, Patrick, and de Vilder, Robin (1998) Capital–labour substitution and competitive nonlinear endogenous business cycles. Journal of Economic Theory 80, 14–59.CrossRefGoogle Scholar
Gruber, Jonathan (2006) A Tax-Based Estimate of the Elasticity of Intertemporal Substitution. NBER working paper 11945.CrossRefGoogle Scholar
Guo, Jang-Ting and Harrison, Sharon G. (2008) Useful government spending and macroeconomic (in)stability under balanced-budget rules. Journal of Public Economic Theory 10, 383–397.CrossRefGoogle Scholar
Kapoor, Mudit and Ravi, Shamika (2010) Elasticity of Intertemporal Substitution in Consumption: An Empirical Evidence from a Natural Experiment. Working paper 21, 191–232, Indian School of Business.CrossRefGoogle Scholar
León-Ledesma, Miguel, McAdam, Peter, and Willman, Alpo (2010) Identifying the elasticity of substitution with biased technical change. American Economic Review 100, 1330–1357.CrossRefGoogle Scholar
Le Van, Cuong, Nguyen, Manh Hung, and Vailakis, Yiannis (2007) Equilibrium dynamics in an aggregative model of capital accumulation with heterogeneous agents and elastic labor. Journal of Mathematical Economics 43, 287–317.Google Scholar
Le Van, Cuong and Vailakis, Yiannis (2003) Existence of a competitive equilibrium in a one sector growth model with heterogeneous agents and irreversible investment. Economic Theory 22, 743–771.CrossRefGoogle Scholar
Lloyd-Braga, Teresa, Modesto, Leonor, and Seegmuller, Thomas (2008) Tax rate variability and public spending as sources of indeterminacy. Journal of Public Economic Theory 10, 399–421.CrossRefGoogle Scholar
Mankiw, Gregory N. (2000) The savers–spenders theory of fiscal policy. American Economic Review 90, 120–125.CrossRefGoogle Scholar
Michel, Philippe and Pestieau, Pierre (1999) Fiscal policy when individuals differ with regard to altruism and labor supply. Journal of Public Economic Theory 1, 187–203.CrossRefGoogle Scholar
Mulligan, Casey B. (2002) Capital Interest and Aggregate Intertemporal Substitution. NBER working paper 9373.CrossRefGoogle Scholar
Ni, Shawn (1995) An empirical analysis on the substitutability between private consumption and government purchases. Journal of Monetary Economics 36, 593–605.CrossRefGoogle Scholar
Ramsey, Frank P. (1928) A mathematical theory of saving. Economic Journal 38, 543–559.CrossRefGoogle Scholar
Rogerson, Richard and Wallenius, Johanna (2009) Micro and macro elasticities in a life cycle model with taxes. Journal of Economic Theory 144, 2277–2292.CrossRefGoogle Scholar
Sorger, Gerhard (2002) On the long-run distribution of capital in the Ramsey model. Journal of Economic Theory 105, 226–243.CrossRefGoogle Scholar
Vissing-Jorgensen, Annette (2002) Limited asset market participation and the elasticity of intertemporal substitution. Journal of Political Economy 110, 825–853.CrossRefGoogle Scholar
Vissing-Jorgensen, Annette and Attanasio, Orazio P. (2003) Stock-market participation, intertemporal substitution and risk aversion. American Economic Review Papers and Proceedings 93, 383–391.CrossRefGoogle Scholar
Woodford, Michael (1986) Stationary sunspot equilibria in a finance constrained economy. Journal of Economic Theory 40, 128–137.CrossRefGoogle Scholar
Zhang, Junxi (2000) Public services, increasing returns, and equilibrium dynamics. Journal of Economic Dynamics and Control 24, 227–246.CrossRefGoogle Scholar