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Linear production function, externalities and indeterminacy in a capital-resource growth model

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  • Carboni, Oliviero A.
  • Russu, Paolo

Abstract

This paper investigates the equilibrium growth dynamics of an economy whose production is based on natural resources and which seeks to maximize welfare to the local community. This involves determining the optimal trajectories of consumption in the local area and the use of the environmental resource. Economic dynamics are affected by negative environmental externalities which are explicitly included as unfavourable effects in a linear production function. The analysis shows the existence of local and global indeterminacy.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:mateco:v:49:y:2013:i:5:p:422-428
    DOI: 10.1016/j.jmateco.2013.04.002
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    1. Pintus, Patrick & Sands, Duncan & de Vilder, Robin, 2000. "On the transition from local regular to global irregular fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 247-272, February.
    2. Chen, Been-Lon & Lee, Shun-Fa, 2008. "Corrigendum to "Congestible public goods and local indeterminacy: A two-sector endogenous growth model": [Journal of Economic Dynamics & Control 31 (7) (2007) 2486-2518]," Journal of Economic Dynamics and Control, Elsevier, vol. 32(4), pages 1356-1356, April.
    3. Benhabib, Jess & Nishimura, Kazuo, 1998. "Indeterminacy and Sunspots with Constant Returns," Journal of Economic Theory, Elsevier, vol. 81(1), pages 58-96, July.
    4. 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.
    5. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    6. Eliasson, Ludvik & Turnovsky, Stephen J., 2004. "Renewable resources in an endogenously growing economy: balanced growth and transitional dynamics," Journal of Environmental Economics and Management, Elsevier, vol. 48(3), pages 1018-1049, November.
    7. 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.
    8. Tarek Coury & Yi Wen, 2009. "Global indeterminacy in locally determinate real business cycle models," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 49-60.
    9. Kiminori Matsuyama, 1991. "Increasing Returns, Industrialization, and Indeterminacy of Equilibrium," The Quarterly Journal of Economics, Oxford University Press, vol. 106(2), pages 617-650.
    10. Benhabib, Jess & Farmer, Roger E. A., 1996. "Indeterminacy and sector-specific externalities," Journal of Monetary Economics, Elsevier, vol. 37(3), pages 421-443, June.
    11. Benhabib, Jess & Eusepi, Stefano, 2005. "The design of monetary and fiscal policy: A global perspective," Journal of Economic Theory, Elsevier, vol. 123(1), pages 40-73, July.
    12. Paolo Mattana & Kazuo Nishimura & Tadashi Shigoka, 2009. "Homoclinic bifurcation and global indeterminacy of equilibrium in a two-sector endogenous growth model," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(1), pages 25-47.
    13. Brito, Paulo & Venditti, Alain, 2010. "Local and global indeterminacy in two-sector models of endogenous growth," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 893-911, September.
    14. Kim, Jinill, 2003. "Indeterminacy And Investment Adjustment Costs: An Analytic Result," Macroeconomic Dynamics, Cambridge University Press, vol. 7(03), pages 394-406, June.
    15. Gardner Brown, 2000. "Renewable Natural Resource Management and Use Without Markets," Working Papers 0025, University of Washington, Department of Economics.
    16. Wirl, Franz & Feichtinger, Gustav, 2006. "History versus expectations: Increasing returns or social influence?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 35(5), pages 877-888, October.
    17. Kazuo Mino & Kazuo Nishimura & Koji Shimomura & Ping Wang, 2008. "Equilibrium dynamics in discrete-time endogenous growth models with social constant returns," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(1), pages 1-23, January.
    18. 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.
    19. 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.
    20. Christiano, Lawrence J. & G. Harrison, Sharon, 1999. "Chaos, sunspots and automatic stabilizers," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 3-31, August.
    21. Bennett, Rosalind L. & Farmer, Roger E. A., 2000. "Indeterminacy with Non-separable Utility," Journal of Economic Theory, Elsevier, vol. 93(1), pages 118-143, July.
    22. Jess Benhabib & Kazuo Nishimura, 1999. "Indeterminacy Arising in Multi-sector Economies," The Japanese Economic Review, Japanese Economic Association, vol. 50(4), pages 485-506, December.
    23. Angelo Antoci & Marcello Galeotti & Paolo Russu, 2014. "Global analysis and indeterminacy in a two-sector growth model with human capital," International Journal of Economic Theory, The International Society for Economic Theory, vol. 10(4), pages 313-338, December.
    24. Gardner Brown, 2000. "Renewable Natural Resource Management and Use Without Markets," Discussion Papers in Economics at the University of Washington 0025, Department of Economics at the University of Washington.
    25. Nishimura, Kazuo & Shimomura, Koji, 2002. "Indeterminacy in a dynamic small open economy," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 271-281, December.
    26. Kazuo Nishimura & Carine Nourry & Alain Venditti, 2008. "Indeterminacy in aggregate models with small externalities: an interplay between preferences and technology," Working Papers halshs-00281428, HAL.
    27. Paul Krugman, 1991. "History versus Expectations," The Quarterly Journal of Economics, Oxford University Press, vol. 106(2), pages 651-667.
    28. Mino, Kazuo, 2001. "Indeterminacy and Endogenous Growth with Social Constant Returns," Journal of Economic Theory, Elsevier, vol. 97(1), pages 203-222, March.
    29. 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.
    30. Wirl Franz, 1995. "The Cyclical Exploitation of Renewable Resource Stocks May Be Optimal," Journal of Environmental Economics and Management, Elsevier, vol. 29(2), pages 252-261, September.
    31. Meng, Qinglai & Yip, Chong Kee, 2008. "On indeterminacy in one-sector models of the business cycle with factor-generated externalities," Journal of Macroeconomics, Elsevier, vol. 30(1), pages 97-110, March.
    32. Nishimura, Kazuo & Venditti, Alain, 2007. "Indeterminacy in discrete-time infinite-horizon models with non-linear utility and endogenous labor," Journal of Mathematical Economics, Elsevier, vol. 43(3-4), pages 446-476, April.
    33. Lopez, Ramon E. & Anriquez, Gustavo & Gulati, Sumeet, 2007. "Structural change and sustainable development," Journal of Environmental Economics and Management, Elsevier, vol. 53(3), pages 307-322, May.
    34. Gardner M. Brown, 2000. "Renewable Natural Resource Management and Use without Markets," Journal of Economic Literature, American Economic Association, vol. 38(4), pages 875-914, December.
    35. Jess Benhabib & Kazuo Nishimura & Tadashi Shigoka, 2008. "Bifurcation and sunspots in the continuous time equilibrium model with capacity utilization," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(2), pages 337-355.
    36. Antoci, Angelo & Bartolini, Stefano, 2004. "Negative externalities, defensive expenditures and labour supply in an evolutionary context," Environment and Development Economics, Cambridge University Press, vol. 9(05), pages 591-612, October.
    37. 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.
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    Cited by:

    1. 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.
    2. 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.

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