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On The Impact Of Heterogeneity On Indeterminacy

  • Christian Ghiglino
  • Marielle Olszak-Duquenne

Some recent research indicates that the occurrence of indeterminacy in models with externalities may be overstated because these models ignore agents' heterogeneity. We consider a neoclassical two-sector growth model with technological externalities. Agents are heterogeneous with respect to their shares of the initial stock of capital and in labor endowments. We find that the sign of the effect of inequality on indeterminacy is not pinned down by the standard properties of preferences. However, when the inverse of absolute risk aversion is a convex (respectively concave) function, homogeneity (heterogeneity) tends to neutralize the external effects and eliminate indeterminacy. Copyright 2005 by the Economics Department Of The University Of Pennsylvania And Osaka University Institute Of Social And Economic Research Association.

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Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 46 (2005)
Issue (Month): 1 (02)
Pages: 171-188

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Handle: RePEc:ier:iecrev:v:46:y:2005:i:1:p:171-188
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  1. Ghiglino, Christian, 2005. "Wealth inequality and dynamic stability," Journal of Economic Theory, Elsevier, vol. 124(1), pages 106-115, September.
  2. Christopher D. Carroll & Miles S. Kimball, 1995. "On the concavity of the consumption function," Finance and Economics Discussion Series 95-10, Board of Governors of the Federal Reserve System (U.S.).
  3. Gollier, Christian, 2001. "Wealth Inequality and Asset Pricing," Review of Economic Studies, Wiley Blackwell, vol. 68(1), pages 181-203, January.
  4. Michele Boldrin & Aldo Rustichini, 2010. "Growth and Indeterminacy in Dynamic Models with Externalities," Levine's Working Paper Archive 1382, David K. Levine.
  5. Herrendorf, Berthold & Valentinyi, Akos & Waldmann, Robert, 2000. "Ruling Out Multiplicity and Indeterminacy: The Role of Heterogeneity," Review of Economic Studies, Wiley Blackwell, vol. 67(2), pages 295-307, April.
  6. Yano, Makoto, 1991. "Temporary transfers in a simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 54(2), pages 372-388, August.
  7. Bewley, Truman, 1982. "An integration of equilibrium theory and turnpike theory," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 233-267, September.
  8. Kiminori Matsuyama, 1990. "Increasing Returns, Industrialization and Indeterminacy of Equilibrium," Discussion Papers 878, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Timothy J. Kehoe & David K. Levine & Paul Romer, 1990. "Determinacy of Equilibrium in Dynamic Models with Finitely Many Consumers," Levine's Working Paper Archive 165, David K. Levine.
  10. Timothy J. Kehoe & David K. Levine & Paul M. Romer, 1990. "On characterizing equilibria of economies with externalities and taxes as solutions to optimization problems," Working Papers 436, Federal Reserve Bank of Minneapolis.
  11. Yano, Makoto, 1984. "The turnpike of dynamic general equilibrium paths and its insensitivity to initial conditions," Journal of Mathematical Economics, Elsevier, vol. 13(3), pages 235-254, December.
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