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

  • Antoci, Angelo
  • Sodini, Mauro

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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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 13750.

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Date of creation: Feb 2009
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Handle: RePEc:pra:mprapa:13750
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  1. repec:cup:cbooks:9780521898010 is not listed on IDEAS
  2. Jean-Michel Grandmont & P, A, Pintus & R, De Vilder, 1997. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Working Papers 97-28, Centre de Recherche en Economie et Statistique.
  3. Barkley Rosser, J. Jr., 2001. "Complex ecologic-economic dynamics and environmental policy," Ecological Economics, Elsevier, vol. 37(1), pages 23-37, April.
  4. Hommes, Cars H. & Rosser,, J. Barkley, 2001. "Consistent Expectations Equilibria And Complex Dynamics In Renewable Resource Markets," Macroeconomic Dynamics, Cambridge University Press, vol. 5(02), pages 180-203, April.
  5. Cazzavillan, Guido, 2001. "Indeterminacy and Endogenous Fluctuations with Arbitrarily Small Externalities," Journal of Economic Theory, Elsevier, vol. 101(1), pages 133-157, November.
  6. Antoci, Angelo, 2009. "Environmental degradation as engine of undesirable economic growth via self-protection consumption choices," Ecological Economics, Elsevier, vol. 68(5), pages 1385-1397, March.
  7. Bartolini, Stefano & Bonatti, Luigi, 2003. "Undesirable growth in a model with capital accumulation and environmental assets," Environment and Development Economics, Cambridge University Press, vol. 8(01), pages 11-30, February.
  8. John, A. & Pecchenino, R. & Schimmelpfennig, D. & Schreft, S., 1995. "Short-lived agents and the long-lived environment," Journal of Public Economics, Elsevier, vol. 58(1), pages 127-141, September.
  9. Angelo Antoci & Simone Borghesi & Marcello Galeotti, 2008. "Should we replace the environment?: Limits of economic growth in the presence of self-protective choices," International Journal of Social Economics, Emerald Group Publishing, vol. 35(4), pages 283-297, March.
  10. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
  11. John, A & Pecchenino, R, 1994. "An Overlapping Generations Model of Growth and the Environment," Economic Journal, Royal Economic Society, vol. 104(427), pages 1393-1410, November.
  12. Cars H. Hommes & J. Barkley Rosser, 2001. "Consistent Expectations Equilibria and Complex Dynamics in Renewable Resource Markets," Tinbergen Institute Discussion Papers 01-013/1, Tinbergen Institute.
  13. Angelo Antoci & Stefano Bartolini, 1997. "Externalities and Growth in an Evolutionary Game," Department of Economics Working Papers 9710, Department of Economics, University of Trento, Italia.
  14. Antoci, Angelo & Galeotti, Marcello & Russu, Paolo, 2005. "Consumption of private goods as substitutes for environmental goods in an economic growth model," MPRA Paper 13664, University Library of Munich, Germany.
  15. Bartolini, Stefano & Bonatti, Luigi, 2002. "Environmental and social degradation as the engine of economic growth," Ecological Economics, Elsevier, vol. 43(1), pages 1-16, November.
  16. Cars H. Hommes & J. Barkley Rosser, 2001. "Consistent Expectations Equilibria and Complex Dynamics in Renewable Resource Markets," Tinbergen Institute Discussion Papers 01-013/1, Tinbergen Institute.
  17. Cars H. Hommes & J. Barkley Rosser, 2001. "Consistent Expectations Equilibria and Complex Dynamics in Renewable Resource Markets," Tinbergen Institute Discussion Papers 01-013/1, Tinbergen Institute.
  18. Cazzavillan, Guido & Lloyd-Braga, Teresa & Pintus, Patrick A., 1998. "Multiple Steady States and Endogenous Fluctuations with Increasing Returns to Scale in Production," Journal of Economic Theory, Elsevier, vol. 80(1), pages 60-107, May.
  19. Bischi, Gian Italo & Lamantia, Fabio, 2007. "Harvesting dynamics in protected and unprotected areas," Journal of Economic Behavior & Organization, Elsevier, vol. 62(3), pages 348-370, March.
  20. Bird, Peter J. W. N., 1987. "The transferability and depletability of externalities," Journal of Environmental Economics and Management, Elsevier, vol. 14(1), pages 54-57, March.
  21. Duranton, Gilles, 2001. "Endogenous labor supply, growth and overlapping generations," Journal of Economic Behavior & Organization, Elsevier, vol. 44(3), pages 295-314, March.
  22. Jason Shogren & Thomas Crocker, 1991. "Cooperative and noncooperative protection against transferable and filterable externalities," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 1(2), pages 195-214, June.
  23. Thomas SEEGMULLER & Alban VERCHÈRE, 2005. "Environment in an Overlapping Generations Economy with Endogenous Labor Supply : a Dynamic Analysis," Working Papers of BETA 2005-05, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
  24. repec:cup:cbooks:9780521725200 is not listed on IDEAS
  25. Antoci, Angelo & Bartolini, Stefano, 1999. "Negative externalities as the engine of growth in an evolutionary context," MPRA Paper 13908, University Library of Munich, Germany.
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