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

  • A. Andrew John
  • Alexander L. Wolman

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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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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  1. Leif Danziger, 1998. "A Dynamic Economy with Costly Price Adjustment," Cahiers de recherche CREFE / CREFE Working Papers 83, CREFE, Université du Québec à Montréal.
  2. Laurence Ball & David Romer, 1987. "Sticky Prices as Coordination Failure," NBER Working Papers 2327, National Bureau of Economic Research, Inc.
  3. Russell Cooper & John Haltiwanger & Laura Power, 1995. "Machine Replacement and the Business Cycle: Lumps and Bumps," NBER Working Papers 5260, National Bureau of Economic Research, Inc.
  4. 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.
  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. 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.
  7. 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.
  8. Fisher, J.D.M. & Hornstein, A., 1995. "(S,s)Inventory Policies in General Equilibrium," UWO Department of Economics Working Papers 9514, University of Western Ontario, Department of Economics.
  9. Julia K. Thomas, 2002. "Is lumpy investment relevant for the business cycle?," Staff Report 302, Federal Reserve Bank of Minneapolis.
  10. 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.
  11. Ricardo J. Caballero & Eduardo M.R.A. Engel, 1991. "Heterogeneity and Output Fluctuations in a Dynamic Menu-Cost Economy," NBER Working Papers 3729, National Bureau of Economic Research, Inc.
  12. Michael B. Devereux & Henry E. Siu, 2007. "State Dependent Pricing And Business Cycle Asymmetries," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(1), pages 281-310, 02.
  13. 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.
  14. Andrew Caplin & John Leahy, 1997. "Aggregation and Optimization with State-Dependent Pricing," Econometrica, Econometric Society, vol. 65(3), pages 601-626, May.
  15. 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.
  16. Caplin, Andrew S & Spulber, Daniel F, 1987. "Menu Costs and the Neutrality of Money," The Quarterly Journal of Economics, MIT Press, vol. 102(4), pages 703-25, November.
  17. 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.
  18. 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.
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