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A note on pollution inertia and endogenous cycles in Ramsey economies

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  • Estelle CAMPENET
  • David DESMARCHELIER

Abstract

The literature has highlighted the potential occurrence of a limit cycle through a Hopf bifurcation near the steady state of a competitive Ramsey economy when pollution significantly increases the marginal utility of consumption (compensation effect). This latter condition is necessary but not sufficient. More specifically, pollution inertia must be strong when pollution originates from production but not when it stems from consumption. This paper investigates the reasons for this difference and emphasizes the role of decreasing marginal productivity of capital in explaining it.

Suggested Citation

  • Estelle CAMPENET & David DESMARCHELIER, 2025. "A note on pollution inertia and endogenous cycles in Ramsey economies," Working Papers of BETA 2025-10, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    • Handle: RePEc:ulp:sbbeta:2025-10
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    File URL: http://beta.u-strasbg.fr/WP/2025/2025-10.pdf
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    References listed on IDEAS

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    1. Stefano Bosi & David Desmarchelier, 2018. "Limit Cycles Under a Negative Effect of Pollution on Consumption Demand: The Role of an Environmental Kuznets Curve," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 69(2), pages 343-363, February.
    2. Bosi, Stefano & Desmarchelier, David, 2019. "Local bifurcations of three and four-dimensional systems: A tractable characterization with economic applications," Mathematical Social Sciences, Elsevier, vol. 97(C), pages 38-50.
    3. Fernández, Esther & Pérez, Rafaela & Ruiz, Jesús, 2012. "The environmental Kuznets curve and equilibrium indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1700-1717.
    4. Stefano Bosi & David Desmarchelier, 2017. "Are the Laffer curve and the green paradox mutually exclusive?," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 19(5), pages 937-956, October.
    5. Itaya, Jun-ichi, 2008. "Can environmental taxation stimulate growth? The role of indeterminacy in endogenous growth models with environmental externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1156-1180, April.
    6. Bosi, Stefano & Desmarchelier, David, 2019. "Local bifurcations of three and four-dimensional systems: A tractable characterization with economic applications," Mathematical Social Sciences, Elsevier, vol. 97(C), pages 38-50.
    7. Philippe Michel & Gilles Rotillon, 1995. "Disutility of pollution and endogenous growth," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 6(3), pages 279-300, October.
    Full references (including those not matched with items on IDEAS)

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    Keywords

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    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O44 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Environment and Growth

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