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Competitive equilibrium cycles with endogenous labor

Author

Listed:
  • Stefano Bosi

    (EPEE - Centre d'Etudes des Politiques Economiques - UEVE - Université d'Évry-Val-d'Essonne)

  • Francesco Magris

    (EPEE - Centre d'Etudes des Politiques Economiques - UEVE - Université d'Évry-Val-d'Essonne)

  • Alain Venditti

Abstract

In this paper, we study a two-sector optimal growth model with elastic labor supply. We show that the modified golden rule is saddle-point stable when the investment good is capital intensive. To characterize stability with a capital intensive consumption good, we focus on either additively separable or homothetic preferences. In the first specification, we show that optimal oscillations require the elasticity of intertemporal substitution in consumption to be high enough while the elasticity of labor needs to be low enough. At the same time, we prove that with a linear utility in leisure the modified golden rule is always saddle-point stable. In the second specification for preferences, we show that the local dynamic properties of the optimal path depend instead on the shares of consumption and leisure into total utility. We prove that endogenous fluctuations are even more likely with homothetic preferences. © 2004 Elsevier B.V. All rights reserved.

Suggested Citation

  • Stefano Bosi & Francesco Magris & Alain Venditti, 2005. "Competitive equilibrium cycles with endogenous labor," Post-Print hal-02877998, HAL.
    • Handle: RePEc:hal:journl:hal-02877998
    DOI: 10.1016/j.jmateco.2003.11.010
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    Citations

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    Cited by:

    1. Takashi Kamihigashi, 2015. "Multiple interior steady states in the Ramsey model with elastic labor supply," International Journal of Economic Theory, The International Society for Economic Theory, vol. 11(1), pages 25-37, March.
    2. Jean-Pierre Drugeon & Carine Nourry & Alain Venditti, 2006. "Does dynamic efficiency rule out sunspot fluctuations ?," Working Papers halshs-00410787, HAL.
    3. 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.
    4. Bosi, Stefano & Nishimura, Kazuo & Venditti, Alain, 2010. "Multiple equilibria in two-sector monetary economies: An interplay between preferences and the timing for money," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 997-1014, November.
    5. Harutaka Takahashi, 2021. "Toward a Theory of the Labor Share’s Fall: A Dynamic Model of the 'Superstar’ Firm," Discussion Papers 2127, Graduate School of Economics, Kobe University.
    6. Bosi, Stefano & Seegmuller, Thomas, 2006. "Optimal cycles and social inequality: What do we learn from the Gini index?," Research in Economics, Elsevier, vol. 60(1), pages 35-46, March.
    7. Antoine Le Riche & Carine Nourry & Alain Venditti, 2012. "Efficient Endogenous Fluctuations in Two-Sector OLG Model," Working Papers halshs-00793704, HAL.
    8. Drugeon, Jean-Pierre & Nourry, Carine & Venditti, Alain, 2010. "On efficiency and local uniqueness in two-sector OLG economies," Mathematical Social Sciences, Elsevier, vol. 59(1), pages 120-144, January.
    9. Kazuo Nishimura & Alain Venditti, 2012. "Indeterminacy in Discrete-Time Infinite-Horizon Models with Non-linear Utility and Endogenous Labor," Springer Books, in: John Stachurski & Alain Venditti & Makoto Yano (ed.), Nonlinear Dynamics in Equilibrium Models, edition 127, chapter 0, pages 363-400, Springer.
    10. Takahashi, Harutaka & Le Riche, Antoine, 2021. "A dynamic theory of the declining aggregated labor income share: Intangible capital vs. tangible capital," Research in Economics, Elsevier, vol. 75(1), pages 104-118.
    11. Ghiglino, Christian & Venditti, Alain, 2011. "Wealth distribution and output fluctuations," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2478-2509.
    12. Stefano Bosi & Francesco Magris & Alain Venditti, 2007. "Sunspot Fluctuations in Two-sector Economies with Heterogeneous Agents," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(2), pages 311-331, November.
    13. Christian Ghiglino & Alain Venditti, 2008. "The role of the wealth distribution on output volatility," Working Papers halshs-00281379, HAL.
    14. Antoine Riche & Francesco Magris, 2017. "Equilibrium Dynamics in a Two-Sector OLG Model with Liquidity Constraint," Studies in Economic Theory, in: Kazuo Nishimura & Alain Venditti & Nicholas C. Yannelis (ed.), Sunspots and Non-Linear Dynamics, chapter 0, pages 147-174, Springer.
    15. Augeraud-Veron, Emmanuelle & Boucekkine, Raouf & Gozzi, Fausto & Venditti, Alain & Zou, Benteng, 2024. "Fifty years of mathematical growth theory: Classical topics and new trends," Journal of Mathematical Economics, Elsevier, vol. 111(C).

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    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
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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