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Stable Sunspot Equilibria in a Cash-in-Advance Economy

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  • George W. Evans
  • Seppo Honkapohja
  • Ramon Marimon

Abstract

We analyze a monetary model with flexible labor supply, cash-inadvance constraints and seigniorage-financed government deficits. If the intertemporal elasticity of substitution of labor is greater than one, there are two steady states, one determinate and the other indeterminate. If the elasticity is less than one, there is a unique steady state, which can be indeterminate. Only in the latter case do there exist sunspot equilibria that are stable under adaptive learning. A sufficient reduction in government purchases can in many cases eliminate the sunspot equilibria while raising consumption/labor taxes even enough to balance the budget may fail to achieve determinacy.

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Bibliographic Info

Paper provided by Barcelona Graduate School of Economics in its series Working Papers with number 14.

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Date of creation: Dec 2003
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Handle: RePEc:bge:wpaper:14

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Keywords: Indeterminacy; learnability; expectational stability; endogenous fluctuations; seigniorage;

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References

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  1. George W. Evans & Bruce McGough, 2002. "Indeterminacy and the Stability Puzzle in Non-Convex Economies," University of Oregon Economics Department Working Papers 2002-14, University of Oregon Economics Department, revised 27 Aug 2005.
  2. Chiappori, P.A. & Geoffard, P.Y. & Guesnerie, R., 1990. "Sunspot Fluctuations around a Steady State: The Case of Multidimensional One-Step forward Looking Economic Models," DELTA Working Papers 90-02, DELTA (Ecole normale supérieure).
  3. Marimon, R. & Spear, S. & Sunder, S., 1991. "Expectationally-Driven Market Volatility: An Experimental Study," GSIA Working Papers 1991-3, Carnegie Mellon University, Tepper School of Business.
  4. Bray, Margaret M & Savin, Nathan E, 1986. "Rational Expectations Equilibria, Learning, and Model Specification," Econometrica, Econometric Society, vol. 54(5), pages 1129-60, September.
  5. Woodford, Michael, 1990. "Learning to Believe in Sunspots," Econometrica, Econometric Society, vol. 58(2), pages 277-307, March.
  6. George W. Evans & Seppo Honkapohja, 2002. "Existence of Adaptively Stable Sunspot Equilibria near an Indeterminate Steady State," University of Oregon Economics Department Working Papers 2002-9, University of Oregon Economics Department, revised 06 Apr 2002.
  7. Barnett,William A. & Geweke,John & Shell,Karl (ed.), 1989. "Economic Complexity: Chaos, Sunspots, Bubbles, and Nonlinearity," Cambridge Books, Cambridge University Press, number 9780521355636, October.
  8. Evans, George W., 1989. "The fragility of sunspots and bubbles," Journal of Monetary Economics, Elsevier, vol. 23(2), pages 297-317, March.
  9. George Evans & Seppo Honkapohja & Paul Romer, 1996. "Growth Cycles," NBER Working Papers 5659, National Bureau of Economic Research, Inc.
  10. Evans George W. & Honkapohja Seppo, 1994. "On the Local Stability of Sunspot Equilibria under Adaptive Learning Rules," Journal of Economic Theory, Elsevier, vol. 64(1), pages 142-161, October.
  11. George W. Evans & Seppo Honkapohja, 2001. "Expectational Stability of Resonant Frequency Sunspot Equilibria," CESifo Working Paper Series 497, CESifo Group Munich.
  12. Duffy John, 1994. "On Learning and the Nonuniqueness of Equilibrium in an Overlapping Generations Model with Fiat Money," Journal of Economic Theory, Elsevier, vol. 64(2), pages 541-553, December.
  13. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
  14. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
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Cited by:
  1. George W. Evans & Seppo Honkapohja, 2008. "Expectations, Learning, And Monetary Policy: An Overview Of Recent Research," Working Papers Central Bank of Chile 501, Central Bank of Chile.
  2. George W. Evans & Seppo Honkapohja, 2002. "Existence of Adaptively Stable Sunspot Equilibria near an Indeterminate Steady State," University of Oregon Economics Department Working Papers 2002-9, University of Oregon Economics Department, revised 06 Apr 2002.
  3. Pedro Gil, 2013. "Animal spirits and the composition of innovation in a lab-equipment R&D model with transition," Journal of Economics, Springer, vol. 108(1), pages 1-33, January.
  4. Seonghoon Cho & Antonio Moreno, 2006. "Expectational Stability in Multivariate Models," Faculty Working Papers 06/08, School of Economics and Business Administration, University of Navarra.
  5. Evans, George W. & McGough, Bruce, 2003. "Monetary policy, indeterminacy and learning," CFS Working Paper Series 2003/37, Center for Financial Studies (CFS).
  6. Pedro Rui Mazeda Gil, 2009. "Animal Spirits and the Composition of Innovation in a Lab-Equipment R&D Model," FEP Working Papers 336, Universidade do Porto, Faculdade de Economia do Porto.
  7. Stefano Eusepi, 2005. "Comparing forecast-based and backward-looking Taylor rules: a "global" analysis," Staff Reports 198, Federal Reserve Bank of New York.

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