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Impatience, pollution, and indeterminacy

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  • Yanase, Akihiko

Abstract

This paper examines an equilibrium growth model in which production activities generate environmental pollution that has a negative welfare effect and in which individual households' subjective discount rate is a function of individual consumption, which is internal to each household, and of total pollution, which is an external factor to the individual agents. It is shown that there may exist multiple steady states and that the dynamic equilibrium may display indeterminacy, depending on the properties of the discount-rate function, the pollution-capital relationship in production technology, and the pollution-consumption relationship in instantaneous utility. The long-run effects of tighter environmental policy are subsequently examined, and the results are also found to be dependent on the above factors.

Suggested Citation

  • Yanase, Akihiko, 2011. "Impatience, pollution, and indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 35(10), pages 1789-1799, October.
    • Handle: RePEc:eee:dyncon:v:35:y:2011:i:10:p:1789-1799
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    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. Cyrus Chu, C.Y. & Lai, Ching-Chong & Liao, Chih-Hsing, 2014. "How could the non-sustainable Easter Island have been sustained?," International Review of Economics & Finance, Elsevier, vol. 34(C), pages 161-174.
    5. Antoci, Angelo & Borghesi, Simone & Galeotti, Marcello & Russu, Paolo, 2022. "Maladaptation to environmental degradation and the interplay between negative and positive externalities," European Economic Review, Elsevier, vol. 143(C).
    6. Chu, Hsun & Lai, Ching-chong & Liao, Chih-hsing, 2016. "A Note On Environment-Dependent Time Preferences," Macroeconomic Dynamics, Cambridge University Press, vol. 20(6), pages 1652-1667, September.
    7. Six, M. & Wirl, F., 2015. "Optimal pollution management when discount rates are endogenous," Resource and Energy Economics, Elsevier, vol. 42(C), pages 53-70.
    8. 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.
    9. François Belle-Larant & Hugo Mauron & Pascal da Costa, 2021. "Climate Change and Degrowth: a Nordhaus' DICE Model Set of Simulations based on Endogenous Discounting," Working Papers hal-03146625, HAL.
    10. 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.
    11. Mavi, Can Askan, 2024. "Creative destruction vs destructive destruction: A Schumpeterian approach for adaptation and mitigation," Mathematical Social Sciences, Elsevier, vol. 127(C), pages 36-53.
    12. José Gaspar & Liliana Garrido-da-Silva & Paulo B. Vasconcelos & Óscar Afonso, 2023. "Local and global indeterminacy and transition dynamics in a growth model with public goods," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 22(2), pages 271-314, May.
    13. Hartwick, John M. & Long, Ngo Van, 2018. "Sustainability with endogenous discounting when utility depends on consumption and amenities," Mathematical Social Sciences, Elsevier, vol. 95(C), pages 31-36.
    14. Dioikitopoulos, Evangelos V. & Ghosh, Sugata & Karydas, Christos & Vella, Eugenia, 2020. "Roads to prosperity without environmental poverty: The role of impatience," Economics Letters, Elsevier, vol. 186(C).
    15. Yusen Gao & Changsheng Hu & Yue Yang, 2022. "Will tougher environmental policy reduce the employment of industrial enterprises? The heterogeneity analysis based on enterprise level and city level," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(6), pages 1810-1834, September.
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