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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.

Suggested Citation

  • A. Andrew John & Alexander L. Wolman, 2004. "An inquiry into the existence and uniqueness of equilibrium with state-dependent pricing," Working Paper 04-04, Federal Reserve Bank of Richmond.
  • Handle: RePEc:fip:fedrwp:04-04
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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, Oxford University Press, vol. 114(2), pages 655-690.
    4. Jonas D. M. Fisher & Andreas Hornstein, 2000. "(S, s) Inventory Policies in General Equilibrium," Review of Economic Studies, Oxford University Press, vol. 67(1), pages 117-145.
    5. Andrew S. Caplin & Daniel F. Spulber, 1987. "Menu Costs and the Neutrality of Money," The Quarterly Journal of Economics, Oxford University Press, vol. 102(4), pages 703-725.
    6. Andrew Caplin & John Leahy, 1997. "Aggregation and Optimization with State-Dependent Pricing," Econometrica, Econometric Society, vol. 65(3), pages 601-626, May.
    7. 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, February.
    8. Andrew Caplin & John Leahy, 1991. "State-Dependent Pricing and the Dynamics of Money and Output," The Quarterly Journal of Economics, Oxford University Press, vol. 106(3), pages 683-708.
    9. Leif Danziger, 1999. "A Dynamic Economy with Costly Price Adjustments," American Economic Review, American Economic Association, vol. 89(4), pages 878-901, September.
    10. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, Oxford University Press, vol. 103(3), pages 441-463.
    11. John Haltiwanger & Russell Cooper & Laura Power, 1999. "Machine Replacement and the Business Cycle: Lumps and Bumps," American Economic Review, American Economic Association, vol. 89(4), pages 921-946, September.
    12. Ricardo J. Caballero & Eduardo M. R. A. Engel, 1993. "Heterogeneity and Output Fluctuations in a Dynamic Menu-Cost Economy," Review of Economic Studies, Oxford University Press, vol. 60(1), pages 95-119.
    13. Blanchard, Olivier Jean & Kiyotaki, Nobuhiro, 1987. "Monopolistic Competition and the Effects of Aggregate Demand," American Economic Review, American Economic Association, vol. 77(4), pages 647-666, September.
    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. 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.
    16. 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.
    17. Howitt, Peter W, 1981. "Activist Monetary Policy under Rational Expectations," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 249-269, April.
    18. Ball, Laurence & Romer, David, 1991. "Sticky Prices as Coordination Failure," American Economic Review, American Economic Association, vol. 81(3), pages 539-552, June.
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    Cited by:

    1. Dotsey, Michael & King, Robert G., 2005. "Implications of state-dependent pricing for dynamic macroeconomic models," Journal of Monetary Economics, Elsevier, vol. 52(1), pages 213-242, January.
    2. Emi Nakamura & Jón Steinsson, 2010. "Monetary Non-neutrality in a Multisector Menu Cost Model," The Quarterly Journal of Economics, Oxford University Press, vol. 125(3), pages 961-1013.
    3. 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.
    4. 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.
    5. 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.

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    Keywords

    Equilibrium (Economics);

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