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Factor Intensity Reversal and Ergodic Chaos

  • Goenka, Aditya


    (Department of Economics, Aarhus School of Business)

  • Poulsen, Odile


    (Department of Economics, Aarhus School of Business)

This paper studies a two-sector endogenous growth model with labour augmenting externalities or Harrod-Neutral technical change. The technologies are general and the preferences are of the CES class. If con- sumers are su±ciently patient, ergodic chaos and geometric sensitivity to initial conditions can emerge if either (1) there is factor intensity reversal; or (2) if the consumption goods producing sector is always capital intensive. The upper bound on the discount rate is determined only by the transver- sality condition. If utility is linear, there can be chaos only if there is factor intensity reversal

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Paper provided by University of Aarhus, Aarhus School of Business, Department of Economics in its series Working Papers with number 04-13.

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Length: 29 pages
Date of creation: 10 Dec 2004
Date of revision:
Handle: RePEc:hhs:aareco:2004_013
Contact details of provider: Postal: The Aarhus School of Business, Prismet, Silkeborgvej 2, DK 8000 Aarhus C, Denmark
Phone: +45 89 486396
Fax: +45 8615 5175
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  4. Aditya Goenka & Odile Poulsen, 2005. "Indeterminacy and labor augmenting externalities," Journal of Economics, Springer, vol. 86(1), pages 143-166, December.
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  7. Nishimura, Kazuo & Yano, Makoto, 1996. "On the Least Upper Bound of Discount Factors That Are Compatible with Optimal Period-Three Cycles," Journal of Economic Theory, Elsevier, vol. 69(2), pages 306-333, May.
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  9. Baumol, William J & Benhabib, Jess, 1989. "Chaos: Significance, Mechanism, and Economic Applications," Journal of Economic Perspectives, American Economic Association, vol. 3(1), pages 77-105, Winter.
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  13. Nishimura, Kazuo & Yano, Makoto, 1995. "Nonlinear Dynamics and Chaos in Optimal Growth: An Example," Econometrica, Econometric Society, vol. 63(4), pages 981-1001, July.
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  16. Nishimura, Kazuo & Sorger, Gerhard & Yano, Makoto, 1994. "Ergodic Chaos in Optimal Growth Models with Low Discount Rates," Economic Theory, Springer, vol. 4(5), pages 705-17, August.
  17. Benhabib, Jess & Nishimura, Kazuo, 1983. "Competitive Equilibrium Cycles," Working Papers 83-30, C.V. Starr Center for Applied Economics, New York University.
  18. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
  19. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  20. 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.
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  23. Boldrin, Michele & Deneckere, Raymond J., 1990. "Sources of complex dynamics in two-sector growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 14(3-4), pages 627-653, October.
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