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Chaos and Sector-specific Externalities

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  • David R. Stockman

    () (Department of Economics,University of Delaware)

Abstract

Benhabib and Farmer (1996) explore the possibility of local indeterminacy in a twosector model with sector-speci c externalities. They nd that very small sector-specific externalities are su cient for local indeterminacy. In this case, it is possible to construct sunspot equilibria where extrinsic uncertainty matters. In this paper, I provide a global analysis of their model revealing the existence of Euler equation branching. This branching allows for regime switching equilibria with cycles and chaotic behavior. These equilibria occur whether the \local dynamics" are determinate or indeterminate.

Suggested Citation

  • David R. Stockman, 2007. "Chaos and Sector-specific Externalities," Working Papers 07-17, University of Delaware, Department of Economics.
  • Handle: RePEc:dlw:wpaper:07-17.
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    References listed on IDEAS

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    1. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January.
    2. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics,in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448 Elsevier.
    3. Gardini, Laura & Hommes, Cars & Tramontana, Fabio & de Vilder, Robin, 2009. "Forward and backward dynamics in implicitly defined overlapping generations models," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 110-129, August.
    4. Harrison, Sharon G. & Weder, Mark, 2002. "Tracing externalities as sources of indeterminacy," Journal of Economic Dynamics and Control, Elsevier, vol. 26(5), pages 851-867, May.
    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. Michener, Ronald & Ravikumar, B., 1998. "Chaotic dynamics in a cash-in-advance economy," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1117-1137, May.
    7. Benhabib, Jess & Farmer, Roger E. A., 1996. "Indeterminacy and sector-specific externalities," Journal of Monetary Economics, Elsevier, vol. 37(3), pages 421-443, June.
    8. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
    9. Guo, Jang-Ting & Lansing, Kevin J., 2002. "Fiscal Policy, Increasing Returns, And Endogenous Fluctuations," Macroeconomic Dynamics, Cambridge University Press, vol. 6(05), pages 633-664, November.
    10. Christiano, Lawrence J. & G. Harrison, Sharon, 1999. "Chaos, sunspots and automatic stabilizers," Journal of Monetary Economics, Elsevier, vol. 44(1), pages 3-31, August.
    11. Boldrin, Michele & Nishimura, Kazuo & Shigoka, Tadashi & Yano, Makoto, 2001. "Chaotic Equilibrium Dynamics in Endogenous Growth Models," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 97-132, January.
    12. Sharon G. Harrison, 2003. "Returns to Scale and Externalities in the Consumption and Investment Sectors," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 963-976, October.
    13. Schmitt-Grohe, Stephanie & Uribe, Martin, 1997. "Balanced-Budget Rules, Distortionary Taxes, and Aggregate Instability," Journal of Political Economy, University of Chicago Press, vol. 105(5), pages 976-1000, October.
    14. Bastiaanssen, W. G. M. & van Dam, J. C. & Droogers, P., 2003. "Introduction," IWMI Books, Reports H043801, International Water Management Institute.
    15. Harrison, Sharon G., 2001. "Indeterminacy in a model with sector-specific externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 25(5), pages 747-764, May.
    16. Medio, Alfredo & Raines, Brian, 2007. "Backward dynamics in economics. The inverse limit approach," Journal of Economic Dynamics and Control, Elsevier, vol. 31(5), pages 1633-1671, May.
    17. David R. Stockman and Brian E. Raines, 2008. "Euler Equation Branching," Working Papers 08-26, University of Delaware, Department of Economics.
    18. repec:cup:macdyn:v:6:y:2002:i:5:p:633-64 is not listed on IDEAS
    19. Herrendorf, Berthold & Valentinyi, Akos, 2006. "On the stability of the two-sector neoclassical growth model with externalities," Journal of Economic Dynamics and Control, Elsevier, vol. 30(8), pages 1339-1361, August.
    20. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    Cited by:

    1. Wei-Bin Zhang, 2015. "A Portfolio Equilibrium Model of Gold and Capital in an Integrated Walrasian General Equilibrium and Neoclassical Growth Theory," International Journal of Economics and Empirical Research (IJEER), The Economics and Social Development Organization (TESDO), vol. 3(12), pages 616-627, December.
    2. Gomes, Orlando, 2013. "Information stickiness on general equilibrium and endogenous cycles," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 7, pages 1-43.
    3. Zhang Wei-Bin, 2014. "Land Value and Rent Dynamics in an Integrated Walrasian General Equilibrium and Neoclassical Growth Theory," Scientific Annals of Economics and Business, De Gruyter Open, vol. 61(2), pages 235-258, December.
    4. Stockman, David R., 2011. "Chaos and capacity utilization under increasing returns to scale," Journal of Economic Behavior & Organization, Elsevier, vol. 77(2), pages 147-162, February.
    5. Raines, Brian E. & Stockman, David R., 2010. "Chaotic sets and Euler equation branching," Journal of Mathematical Economics, Elsevier, vol. 46(6), pages 1173-1193, November.
    6. repec:beo:journl:v:62:y:2017:i:213:p:93-128 is not listed on IDEAS
    7. Wei-Bin Zhang, 2014. "Growth and inequality examined by integrating the Walrasian general equilibrium and neoclassical growth theories," International Journal of Business and Economic Sciences Applied Research (IJBESAR), Eastern Macedonia and Thrace Institute of Technology (EMATTECH), Kavala, Greece, vol. 7(1), pages 7-32, April.
    8. repec:beo:journl:v:62:y:2018:i:216:p:7-34 is not listed on IDEAS
    9. Wei-Bin ZHANG, 2015. "Tourism, Trade And Wealth Accumulation With Endogenous Income And Wealth Distribution Among Countries," EcoForum, "Stefan cel Mare" University of Suceava, Romania, Faculty of Economics and Public Administration - Economy, Business Administration and Tourism Department., vol. 4(1), pages 1-1, January.
    10. Zhang W.B., 2015. "Birth And Mortality Rates, Gender Division Of Labor, And Time Distribution In The Solow Growth Model," Revista Galega de Economía, University of Santiago de Compostela. Faculty of Economics and Business., vol. 24(1), pages 121-134.
    11. Prof. Wei-Bin Zhang, 2015. "Economic Oscillations in a Multi-Country Growth Model with Free Trade and Tourism," Eurasian Business & Economics Journal, Eurasian Academy Of Sciences, vol. 2(2), pages 1-19, July.

    More about this item

    Keywords

    two-sector model; regime switching; global indeterminacy; cycles and chaos;

    JEL classification:

    • E13 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Neoclassical
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy

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