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An inquiry into the existence and uniqueness of equilibrium with state-dependent pricing

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  • A. Andrew John
  • Alexander L. Wolman

Abstract

State-dependent pricing models are now an operational framework for quantitative business cycle analysis. The analysis in Ball and Romer [1991], however, suggests that such models may be rife with multiple equilibria: in their static model price adjustment is always characterized by complementarity, a necessary condition for multiplicity. We study existence and uniqueness of equilibrium in a discrete-time state-dependent pricing model. In steady states of our model, we find only weak complementarity and no evidence of multiplicity. We likewise find no evidence of multiplicity in the presence of monetary shocks. However, nonexistence of symmetric steady-state equilibrium with pure strategies arises in a small region of the parameter space.

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Bibliographic Info

Paper provided by Federal Reserve Bank of Richmond in its series Working Paper with number 04-04.

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Date of creation: 2004
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Handle: RePEc:fip:fedrwp:04-04

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Keywords: Equilibrium (Economics);

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References

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  1. Andrew C. Caplin & Daniel F. Spulber, 1987. "Menu Costs and the Neutrality of Money," NBER Working Papers 2311, National Bureau of Economic Research, Inc.
  2. Laurence Ball & David Romer, 1987. "Sticky Prices as Coordination Failure," NBER Working Papers 2327, National Bureau of Economic Research, Inc.
  3. Leif Danziger, 1998. "A Dynamic Economy with Costly Price Adjustment," Cahiers de recherche CREFE / CREFE Working Papers 83, CREFE, Université du Québec à Montréal.
  4. Andrew Caplin & John Leahy, 1997. "Aggregation and Optimization with State-Dependent Pricing," Econometrica, Econometric Society, vol. 65(3), pages 601-626, May.
  5. Laurence Ball & N. Gregory Mankiw & David Romer, 1988. "The New Keynsesian Economics and the Output-Inflation Trade-off," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 19(1), pages 1-82.
  6. Julia K. Thomas, 2002. "Is Lumpy Investment Relevant for the Business Cycle?," Journal of Political Economy, University of Chicago Press, vol. 110(3), pages 508-534, June.
  7. Henry Siu & Michael B. Devereux, 2004. "State Dependent Pricing and Business Cycle Asymmetries," 2004 Meeting Papers 161, Society for Economic Dynamics.
  8. Russell Cooper & John Haltiwanger & Laura Power, 1995. "Machine Replacement and the Business Cycle: Lumps and Bumps," Papers 0062, Boston University - Industry Studies Programme.
  9. Jonas D.M. Fisher & Andreas Hornstein, 1995. "(S,s) inventory policies in general equilibrium," Discussion Paper / Institute for Empirical Macroeconomics 104, Federal Reserve Bank of Minneapolis.
  10. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2000. "Sticky Price Models of the Business Cycle: Can the Contract Multiplier Solve the Persistence Problem?," Econometrica, Econometric Society, vol. 68(5), pages 1151-1180, September.
  11. Hornstein, Andreas, 1993. "Monopolistic competition, increasing returns to scale, and the importance of productivity shocks," Journal of Monetary Economics, Elsevier, vol. 31(3), pages 299-316, June.
  12. Howitt, Peter W, 1981. "Activist Monetary Policy under Rational Expectations," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 249-69, April.
  13. Michael Dotsey & Robert G. King & Alexander L. Wolman, 1999. "State-Dependent Pricing And The General Equilibrium Dynamics Of Money And Output," The Quarterly Journal of Economics, MIT Press, vol. 114(2), pages 655-690, May.
  14. Burstein, Ariel T., 2006. "Inflation and output dynamics with state-dependent pricing decisions," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1235-1257, October.
  15. Caballero, Ricardo J & Engel, Eduardo M R A, 1993. "Heterogeneity and Output Fluctuations in a Dynamic Menu-Cost Economy," Review of Economic Studies, Wiley Blackwell, vol. 60(1), pages 95-119, January.
  16. Blanchard, Olivier Jean & Kiyotaki, Nobuhiro, 1987. "Monopolistic Competition and the Effects of Aggregate Demand," American Economic Review, American Economic Association, vol. 77(4), pages 647-66, September.
  17. Cooper, Russell & John, Andrew, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, MIT Press, vol. 103(3), pages 441-63, August.
  18. Caplin, Andrew & Leahy, John, 1991. "State-Dependent Pricing and the Dynamics of Money and Output," The Quarterly Journal of Economics, MIT Press, vol. 106(3), pages 683-708, August.
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Cited by:
  1. Emi Nakamura & Jón Steinsson, 2010. "Monetary Non-Neutrality in a Multisector Menu Cost Model," The Quarterly Journal of Economics, MIT Press, vol. 125(3), pages 961-1013, August.
  2. John, A.Andrew & Wolman, Alexander L., 2008. "Steady-state equilibrium with state-dependent pricing," Journal of Monetary Economics, Elsevier, vol. 55(2), pages 383-405, March.
  3. Michael Dotsey & Robert G. King, 2005. "Implications of state-dependent pricing for dynamic macroeconomic models," Working Papers 05-2, Federal Reserve Bank of Philadelphia.
  4. Alex Ho, Wai-Yip & Yetman, James, 2008. "The long-run output-inflation trade-off with menu costs," The North American Journal of Economics and Finance, Elsevier, vol. 19(3), pages 261-273, December.
  5. Huang, Kevin X.D. & Meng, Qinglai, 2007. "Capital and macroeconomic instability in a discrete-time model with forward-looking interest rate rules," Journal of Economic Dynamics and Control, Elsevier, vol. 31(8), pages 2802-2826, August.

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