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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 mod- els with externalities may be overstated because these models ignore agents’ heterogene- ity. We consider a neoclassical two-sector growth model with technological externalities. Agents are heterogenous in 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 in- verse of absolute risk aversion is a convex (respectively concave) function homogeneity (heterogeneity) tends to neutralize the external effects and eliminate indeterminacy.

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Paper provided by Institut d'Economie et Econométrie, Université de Genève in its series Research Papers by the Institute of Economics and Econometrics, Geneva School of Economics and Management, University of Geneva with number 2004.09.

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Length: 29 pages
Date of creation: Aug 2004
Date of revision:
Handle: RePEc:gen:geneem:2004.09
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  1. 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.
  2. 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.
  3. 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.
  4. 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.).
  5. Gollier, C., 1997. "Wealth Inequality and Asset Pricing," Papers 97.486, Toulouse - GREMAQ.
  6. Bewley, Truman, 1982. "An integration of equilibrium theory and turnpike theory," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 233-267, September.
  7. Michele Boldrin & Aldo Rustichini, 2010. "Growth and Indeterminacy in Dynamic Models with Externalities," Levine's Working Paper Archive 1382, David K. Levine.
  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. 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.
  10. Christian Ghiglino, 2003. "Wealth inequality and dynamic stability," Diskussionsschriften dp0310, Universitaet Bern, Departement Volkswirtschaft.
  11. Yano, Makoto, 1991. "Temporary transfers in a simple dynamic general equilibrium model," Journal of Economic Theory, Elsevier, vol. 54(2), pages 372-388, August.
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