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Frequency of trade and the determinacy of equilibrium in economies of overlapping generations

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In a recent article, Demichelis and Polemarchakis (2007) highlighted the role played by the frequency of trade on the degree of indeterminacy of equilibrium in economies of overlapping generations. Assuming that time has a finite starting point and extends into the infinite future, they prove that the degree of indeterminacy increases with the number of periods in the life-span of individuals, which is assumed to be certain. We show that this result does not hold when individual longevity is uncertain. We build a discrete time model that uniformly converges to a standard continuous time overlapping-generation model when the frequency of trade is infinite. Deriving the equilibrium prices, we demonstrate that the degree of indeterminacy is independent of the frequency of trade and is always equal to one.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2012/12042.pdf
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Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 12042.

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Length: 15 pages
Date of creation: Jun 2012
Date of revision:
Handle: RePEc:mse:cesdoc:12042

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Keywords: Overlapping generations; perpetual youth model; determinacy; continuous time; discrete time.;

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  1. Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2011. "Continuous-Time Overlapping Generations Models," Post-Print hal-00424799, HAL.
  2. Kehoe, Timothy J. & Levine, David K., 1984. "Intertemporal separability in overlapping-generations models," Journal of Economic Theory, Elsevier, vol. 34(2), pages 216-226, December.
  3. Buiter, Willem H, 1988. "Death, Birth, Productivity Growth and Debt Neutrality," Economic Journal, Royal Economic Society, vol. 98(391), pages 279-93, June.
  4. Raouf Boucekkine & Bity Diene & Theophile Azomahou, 2007. "A closer look at the relationship between life expectancy and economic growth," Working Papers 2007_24, Business School - Economics, University of Glasgow.
  5. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
  6. Roger Farmer & Carine Nourry & Alain Venditti, 2009. "Debt, Deficits and Finite Horizons: The Stochastic Case," NBER Working Papers 15025, National Bureau of Economic Research, Inc.
  7. Hippolyte d'Albis & Emmanuelle Augeraud-Veron, 2004. "Competitive growth in a life-cycle model : existence and dynamics," Cahiers de la Maison des Sciences Economiques v04016, Université Panthéon-Sorbonne (Paris 1).
  8. Blanchard, Olivier J, 1985. "Debt, Deficits, and Finite Horizons," Journal of Political Economy, University of Chicago Press, vol. 93(2), pages 223-47, April.
  9. Raouf Boucekkine, 2009. "Overlapping-Generations Models," Mathematical Population Studies, Taylor & Francis Journals, vol. 16(1), pages 1-1.
  10. Tomoyuki Nakajima & Herakles Polemarchakis, 2005. "Money and Prices Under Uncertainty," Review of Economic Studies, Oxford University Press, vol. 72(1), pages 223-246.
  11. S. Demichelis & H. Polemarchakis, 2007. "The determinacy of equilibrium in economies of overlapping generations," Economic Theory, Springer, vol. 32(3), pages 461-475, September.
  12. 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.
  13. Polemarchakis, H. M., 1988. "Portfolio choice, exchange rates, and indeterminacy," Journal of Economic Theory, Elsevier, vol. 46(2), pages 414-421, December.
  14. Weil, Philippe, 1989. "Overlapping families of infinitely-lived agents," Journal of Public Economics, Elsevier, vol. 38(2), pages 183-198, March.
  15. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
  16. Hippolyte D'Albis & Emmanuelle Augeraud-Véron, 2007. "Balanced cycles in an OLG model with a continuum of finitely-lived individuals," Post-Print hal-00630229, HAL.
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