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Global and local indeterminacy and optimal environmental public policies in an economy with public abatement activities

Author

Listed:
  • Rafaela Mª Pérez Sánchez

    (Universidad Complutense de Madrid. Facultad de CC. Económicas y Empresariales. Dpto. Fundamentos Análisis Económico I.)

  • Jesús Ruiz Andújar

    (Universidad Complutense de Madrid. Facultad de CC. Económicas y Empresariales. Dpto. Fundamentos Análisis Económico II.)

Abstract

We study the dynamic properties of an endogenous growth model with pollution in which the government can control the pollution through distorting taxes on the pollutant firms and through public abatement activities. First, we characterize the conditions for indeterminacy of equilibria when the government is benevolent and chooses its tax policy by taking into account the decentralized competitive equilibrium. Under this second best setup we show that two balanced growth paths can be found (one with a low level of pollution and the other with a high level) both of which can be locally indeterminate. Therefore, under indeterminacy, the optimal public policies do not guarantee that the economy will converge towards the steady state characterized by a low level of pollution and neither guarantee that the economy will display, along the transition, low levels of pollution. Second, we show that the central planner solution might also display indeterminacy; in particular, two Pigouvian taxes can be found.

Suggested Citation

  • Rafaela Mª Pérez Sánchez & Jesús Ruiz Andújar, 2004. "Global and local indeterminacy and optimal environmental public policies in an economy with public abatement activities," Documentos de Trabajo del ICAE 0408, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    • Handle: RePEc:ucm:doicae:0408
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    2. Vella, Eugenia & Dioikitopoulos, Evangelos V. & Kalyvitis, Sarantis, 2015. "Green Spending Reforms, Growth, And Welfare With Endogenous Subjective Discounting," Macroeconomic Dynamics, Cambridge University Press, vol. 19(6), pages 1240-1260, September.
    3. Evangelos V. Dioikitopoulos & Sugata Ghosh & Eugenia Vella, 2016. "Technological Progress, Time Perception and Environmental Sustainability," Working Papers 2016002, The University of Sheffield, Department of Economics.
    4. Ikefuji, Masako & Ono, Yoshiyasu, 2021. "Environmental policies in a stagnant economy," Economic Modelling, Elsevier, vol. 102(C).
    5. Hyun Park & Apostolis Philippopoulos, 2016. "Environmental Ramsey Policy and Sustainable Balanced Growth," Review of Development Economics, Wiley Blackwell, vol. 20(2), pages 488-501, May.
    6. Yanase, Akihiko, 2011. "Impatience, pollution, and indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 35(10), pages 1789-1799, October.
    7. Chaudhry, Azam & Tanveer, Hafsa & Naz, R., 2017. "Unique and multiple equilibria in a macroeconomic model with environmental quality: An analysis of local stability," Economic Modelling, Elsevier, vol. 63(C), pages 206-214.
    8. Hosoya, Kei, 2012. "Growth and multiple equilibria: A unique local dynamics," Economic Modelling, Elsevier, vol. 29(5), pages 1662-1665.
    9. 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.
    10. 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.
    11. Maxime Menuet & Alexandru Minea & Patrick Villieu & Anastasios Xepapadeas, 2024. "Environmental quality along the process of economic growth: a theoretical reappraisal," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(4), pages 1219-1258, June.
    12. Antoci, Angelo & Galeotti, Marcello & Russu, Paolo, 2011. "Poverty trap and global indeterminacy in a growth model with open-access natural resources," Journal of Economic Theory, Elsevier, vol. 146(2), pages 569-591, March.
    13. Gaspar, J. & Vasconcelos, P.B. & Afonso, O., 2014. "Economic growth and multiple equilibria: A critical note," Economic Modelling, Elsevier, vol. 36(C), pages 157-160.
    14. Giovanni Bella & Paolo Mattana, 2018. "Global indeterminacy and equilibrium selection in a model with depletion of non-renewable resources," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 187-202, November.
    15. Mikhail Anufriev & Davide Radi & Fabio Tramontana, 2018. "Some reflections on past and future of nonlinear dynamics in economics and finance," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 91-118, November.
    16. Akihiko Yanase, 2014. "Indeterminacy and Pollution Haven Hypothesis in a Dynamic General Equilibrium Model," Open Economies Review, Springer, vol. 25(5), pages 959-980, November.

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    Keywords

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    JEL classification:

    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • Q28 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Government Policy

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