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Tackling indeterminacy in overlapping generations models

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  • Zhigang Feng

Abstract

Overlapping generations models may have a continuum of equilibria. Previous studies have been largely confined to the local analysis that linearizes the model around the steady state. However, what is true of the linearized system only applies for an unknown-sized open neighborhood of the steady state. In this paper I develop a method to diagnose the indeterminacy in overlapping generations models by computing the set of all equilibria. I also provide a procedure to simulate the economy with indeterminate equilibrium. Copyright Springer-Verlag 2013

Suggested Citation

  • Zhigang Feng, 2013. "Tackling indeterminacy in overlapping generations models," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 77(3), pages 445-457, June.
  • Handle: RePEc:spr:mathme:v:77:y:2013:i:3:p:445-457
    DOI: 10.1007/s00186-012-0407-4
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    References listed on IDEAS

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    1. Kehoe, Timothy J. & Levine, David K., 1984. "Regularity in overlapping generations exchange economies," Journal of Mathematical Economics, Elsevier, vol. 13(1), pages 69-93, April.
    2. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    3. Balasko, Yves & Shell, Karl, 1980. "The overlapping-generations model, I: The case of pure exchange without money," Journal of Economic Theory, Elsevier, vol. 23(3), pages 281-306, December.
    4. Kehoe, Timothy J. & Levine, David K. & Mas-Colell, Andreu & Woodford, Michael, 1991. "Gross substitutability in large-square economies," Journal of Economic Theory, Elsevier, vol. 54(1), pages 1-25, June.
    5. Felix Kubler & Karl Schmedders, 2010. "Uniqueness of Steady States in Models with Overlapping Generations," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 635-644, 04-05.
    6. Kehoe, Timothy J. & Levine, David K., 1990. "The economics of indeterminacy in overlapping generations models," Journal of Public Economics, Elsevier, vol. 42(2), pages 219-243, July.
    7. Zhigang Feng & Jianjun Miao & Adrian Peralta‐Alva & Manuel S. Santos, 2014. "Numerical Simulation Of Nonoptimal Dynamic Equilibrium Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55(1), pages 83-110, February.
    8. Wang Yong, 1993. "Stationary Equilibria in an Overlapping Generations Economy with Stochastic Production," Journal of Economic Theory, Elsevier, vol. 61(2), pages 423-435, December.
    9. Spear, Stephen E. & Srivastava, Sanjay & Woodford, Michael, 1990. "Indeterminacy of stationary equilibrium in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 50(2), pages 265-284, April.
    10. N. Gregory Mankiw & Julio J. Rotemberg & Lawrence H. Summers, 1985. "Intertemporal Substitution in Macroeconomics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(1), pages 225-251.
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    Cited by:

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    3. Matthew Hoelle & M. Udara Peiris, 2013. "On the Efficiency of Nominal GDP Targeting in a Large Open Economy," Purdue University Economics Working Papers 1273, Purdue University, Department of Economics.

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