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Multiple Equilibria in the Endogenous Economic Growth Model with the Cash-in-Advance Constraint

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Author Info
Fukuda, Shin-ichi (Faculty of Economics, University of Tokyo.)

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Abstract

In previous studies, it is well known that equilibria can be indeterminate when the cash-in-advance constraint is binding. This paper extends these previous studies to the case where the economy grows endogenously. The extension is particularly noteworthy because temporarily different growth rates can make the levels of capital stocks persistently different in the endogenous growth model. We show that when the cash-in-advance constraint applies only to consumption, multiple equilibrium paths are more likely outcome in the endogenous growth economy. We also show that when the equilibrium path is a sunspot equilibrium, a deviation from the balanced growth path can accelerate the expected growth rates of consumption both in the short-run and in the long-run. However, any deviation from the balanced growth path never improves social welfare and requires the role of discretionary monetary policy.

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Publisher Info
Paper provided by CIRJE, Faculty of Economics, University of Tokyo in its series CIRJE F-Series with number 97-F-11.

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Length: 22 pages
Date of creation: Mar 1997
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Handle: RePEc:tky:fseres:97f11

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  1. Marquis, M.H. & Reffett, K.L., 1991. "Real Interest and Endogenous Growth in a Monetary Economy," Working Papers 1991_06_02, Department of Economics, Florida State University.
  2. Fukuda, Shin-ichi, 1993. "The emergence of equilibrium cycles in a monetary economy with a separable utility function," Journal of Monetary Economics, Elsevier, vol. 32(2), pages 321-334, November. [Downloadable!] (restricted)
  3. Fukuda, Shin-ichi, 1997. "The Role of Monetary Policy in Eliminating Nonconvergent Dynamic Paths," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 249-61, February.
  4. Chiappori, Pierre-Andre & Geoffard, Pierre-Yves & Guesnerie, Roger, 1992. "Sunspot Fluctuations around a Steady State: The Case of Multidimensional, One-Step Forward Looking Economic Models," Econometrica, Econometric Society, vol. 60(5), pages 1097-126, September. [Downloadable!] (restricted)
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  5. Kehoe, Timothy J & Levine, David K & Romer, Paul M, 1992. "On Characterizing Equilibria of Economies with Externalities and Taxes as Solutions to Optimization Problems," Economic Theory, Springer, vol. 2(1), pages 43-68, January.
    Other versions:
  6. Benhabib, Jess & Gali, Jordi, 1995. "On growth and indeterminacy: some theory and evidence," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 43(1), pages 163-211, December. [Downloadable!] (restricted)
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  7. Levhari, David & Srinivasan, T N, 1969. "Optimal Savings under Uncertainty," Review of Economic Studies, Blackwell Publishing, vol. 36(106), pages 153-63, April. [Downloadable!] (restricted)
  8. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April. [Downloadable!] (restricted)
  9. Cooley, Thomas F & Hansen, Gary D, 1989. "The Inflation Tax in a Real Business Cycle Model," American Economic Review, American Economic Association, vol. 79(4), pages 733-48, September. [Downloadable!] (restricted)
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  10. Michener, Ronald & Ravikumar, B., 1998. "Chaotic dynamics in a cash-in-advance economy," Journal of Economic Dynamics and Control, Elsevier, vol. 22(7), pages 1117-1137, May. [Downloadable!] (restricted)
  11. Marquis, Milton H & Reffett, Kevin L, 1995. "The Inflation Tax in a Convex Model of Equilibrium Growth," Economica, London School of Economics and Political Science, vol. 62(245), pages 109-21, February. [Downloadable!] (restricted)
  12. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December. [Downloadable!] (restricted)
  13. Brock, William A, 1974. "Money and Growth: The Case of Long Run Perfect Foresight," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(3), pages 750-77, October. [Downloadable!] (restricted)
  14. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June. [Downloadable!] (restricted)
  15. Drugeon, Jean-Pierre & Wigniolle, Bertrand, 1996. "Continuous-Time Sunspot Equilibria and Dynamics in a Model of Growth," Journal of Economic Theory, Elsevier, vol. 69(1), pages 24-52, April. [Downloadable!] (restricted)
  16. Kehoe, Timothy J., 1991. "Computation and multiplicity of equilibria," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 38, pages 2049-2144 Elsevier. [Downloadable!] (restricted)
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  17. Krugman, Paul, 1991. "History versus Expectations," The Quarterly Journal of Economics, MIT Press, vol. 106(2), pages 651-67, May. [Downloadable!] (restricted)
  18. Abel, Andrew B., 1985. "Dynamic behavior of capital accumulation in a cash-in-advance model," Journal of Monetary Economics, Elsevier, vol. 16(1), pages 55-71, July. [Downloadable!] (restricted)
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  19. Jones, Larry E. & Manuelli, Rodolfo E., 1995. "Growth and the effects of inflation," Journal of Economic Dynamics and Control, Elsevier, vol. 19(8), pages 1405-1428, November. [Downloadable!] (restricted)
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  20. Marquis, Milton H. & Reffett, Kevin L., 1991. "Real interest rates and endogenous growth in a monetary economy," Economics Letters, Elsevier, vol. 37(2), pages 105-109, October. [Downloadable!] (restricted)
  21. Spear, Stephen E., 1991. "Growth, externalities, and sunspots," Journal of Economic Theory, Elsevier, vol. 54(1), pages 215-223, June. [Downloadable!] (restricted)
  22. Boldrin, Michele & Rustichini, Aldo, 1994. "Growth and Indeterminacy in Dynamic Models with Externalities," Econometrica, Econometric Society, vol. 62(2), pages 323-42, March. [Downloadable!] (restricted)
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