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

Author

Listed:
  • Kazuo Nishimura

    (Kyōto daigaku = Kyoto University, Kobe 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)

  • 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

    (Edhec Business School - Edhec - EDHEC - EDHEC Business School - UCL - Université catholique de Lille, 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)

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.

Suggested Citation

  • Kazuo Nishimura & Carine Nourry & Thomas Seegmuller & Alain Venditti, 2023. "Public Spending as a Source of Endogenous Business Cycles in a Ramsey Model with Many Agents," Working Papers hal-01447873, HAL.
  • Handle: RePEc:hal:wpaper:hal-01447873
    DOI: 10.1017/S1365100514000078
    Note: View the original document on HAL open archive server: https://amu.hal.science/hal-01447873v1
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    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. 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.
    4. 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.

    More about this item

    Keywords

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    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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