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Fluctuations in Overlapping Generations Economies

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  • Mich Tvede

    (Department of Economics, University of Copenhagen)

Abstract

In the present paper stationary pure-exchange overlapping generations economies with l goods per date and m consumers per generation are considered. It is shown that for an open and dense set of utility functions there exist endowment vectors such that n-cycles exist for n ≤ l +1 and l ≤ m. The approach to existence of endogenous fluctuations is basic in the sense that the prime ingredients are the implicit function theorem and linear algebra. Moreover the approach is applied to show that for an open and dense set of utility functions there exist endowment vectors such that sunspot equilibria, where prices at every date only depends on the state at that date, exist.

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Bibliographic Info

Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 09-05.

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Length: 17 pages
Date of creation: Mar 2009
Date of revision:
Handle: RePEc:kud:kuiedp:0905

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Keywords: cycles; overlapping generations economies; sunspot equilibria;

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  1. Azariadis, Costas & Guesnerie, Roger, 1986. "Sunspots and Cycles," Review of Economic Studies, Wiley Blackwell, vol. 53(5), pages 725-37, October.
  2. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
  3. Citanna, Alessandro & Siconolfi, Paolo, 2007. "Short-memory equilibrium in stochastic overlapping generations economies," Journal of Economic Theory, Elsevier, vol. 134(1), pages 448-469, May.
  4. Christian Ghiglino & Mich Tvede, 1993. "Endowments, Stability and Fluctuations in OG Models," Research Papers by the Department of Economics, University of Geneva 93.04, Département des Sciences Économiques, Université de Genève.
  5. Grandmont Jean-michel, 1983. "On endogenous competitive business cycles," CEPREMAP Working Papers (Couverture Orange) 8316, CEPREMAP.
  6. Timothy Kehoe, 1982. "Regularity in Overlapping Generations Exchange Economies," UCLA Economics Working Papers 258, UCLA Department of Economics.
  7. Benhabib, Jess & Laroque, Guy, 1988. "On competitive cycles in productive economies," Journal of Economic Theory, Elsevier, vol. 45(1), pages 145-170, June.
  8. Benhabib, Jess & Day, Richard H., 1982. "A characterization of erratic dynamics in, the overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 4(1), pages 37-55, November.
  9. Sorger, Gerhard, 1994. "On the Structure of Ramsey Equilibrium: Cycles, Indeterminacy, and Sunspots," Economic Theory, Springer, vol. 4(5), pages 745-64, August.
  10. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
  11. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  12. Boldrin, Michele & Montrucchio, Luigi, 1986. "On the indeterminacy of capital accumulation paths," Journal of Economic Theory, Elsevier, vol. 40(1), pages 26-39, October.
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