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Indeterminacy, bifurcations and chaos in an overlapping generations model with negative environmental externalities

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  • Antoci, Angelo
  • Sodini, Mauro

Abstract

We analyze an overlapping generations model where agent’s welfare depends on three goods: leisure, environmental quality and consumption of a private good. We assume that the production process of the private good depletes the natural resource and that the consumption of the private good alleviates the damages due to environmental deterioration. In such context, we show that individuals’ reactions to environmental deterioration may lead to complex dynamics, in particular to the rise of periodic orbits and chaos.

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  • Antoci, Angelo & Sodini, Mauro, 2009. "Indeterminacy, bifurcations and chaos in an overlapping generations model with negative environmental externalities," MPRA Paper 13750, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:13750
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    1. Angelo Antoci & Mauro Sodini & Luca Zarri, 2014. "Relational consumption and nonlinear dynamics in an overlapping generations model," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 137-158, April.
    2. Angelo Antoci & Marcello Galeotti & Davide Radi, 2011. "Financial Tools for the Abatement of Traffic Congestion: A Dynamical Analysis," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 389-405, October.
    3. Luciano Fanti & Luca Gori, 2013. "Fertility-related pensions and cyclical instability," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(3), pages 1209-1232, July.
    4. Potrafke, Niklas, 2010. "The growth of public health expenditures in OECD countries: Do government ideology and electoral motives matter?," Journal of Health Economics, Elsevier, vol. 29(6), pages 797-810, December.
    5. Luca Gori & Mauro Sodini, 2011. "Nonlinear Dynamics in an OLG Growth Model with Young and Old Age Labour Supply: The Role of Public Health Expenditure," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 261-275, October.
    6. 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.
    7. Basseti, Thomas & Benos, Nikos & Karagiannis, Stelios, 2010. "How policy can influence human capital accumulation and environment quality," MPRA Paper 21754, University Library of Munich, Germany.
    8. Luca Gori & Mauro Sodini, 2014. "Indeterminacy and nonlinear dynamics in an OLG growth model with endogenous labour supply and inherited tastes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 159-179, April.
    9. OA Carboni & P. Russu, 2012. "Global Indeterminacy in a Tourism Sector Model," Working Paper CRENoS 201230, Centre for North South Economic Research, University of Cagliari and Sassari, Sardinia.
    10. Luciano Fanti & Luca Gori, 2012. "Public Expenditure on Health and Private Old-Age Insurance in an OLG Growth Model with Endogenous Fertility: Chaotic Dynamics Under Perfect Foresight," Computational Economics, Springer;Society for Computational Economics, vol. 40(4), pages 333-353, December.
    11. Mauro Sodini, 2011. "Local and Global Dynamics in an Overlapping Generations Model with Endogenous Time Discounting," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 277-293, October.
    12. Yoshihiro Hamaguchi, 2020. "Do pollution havens restrict tourism-led growth? Achieving sustainable tourism via a mix of environmental and tourism policies," Tourism Economics, , vol. 26(7), pages 1175-1196, November.
    13. 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.
    14. Fazlıoğlu Burcu & Sağlam Hüseyin Çağrı & Yüksel Mustafa Kerem, 2016. "Hopf bifurcation in an overlapping generations resource economy with endogenous population growth rate," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 20(5), pages 607-621, December.
    15. Carboni, Oliviero A. & Russu, Paolo, 2013. "Linear production function, externalities and indeterminacy in a capital-resource growth model," Journal of Mathematical Economics, Elsevier, vol. 49(5), pages 422-428.

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    More about this item

    Keywords

    Defensive environmental expenditures; overlapping generations models; indeterminacy; undesirable economic growth;
    All these keywords.

    JEL classification:

    • Q26 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Recreational Aspects of Natural Resources
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • Q56 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environment and Development; Environment and Trade; Sustainability; Environmental Accounts and Accounting; Environmental Equity; Population Growth
    • O13 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Agriculture; Natural Resources; Environment; Other Primary Products
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General

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