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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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  • 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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    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, President and Fellows of Harvard College, 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. Takahashi, Shuhei, 2021. "The uniqueness of steady-state equilibrium under state-dependent pricing: The case of deflation," Economics Letters, Elsevier, vol. 209(C).
    5. Shuhei Takahashi, 2018. "Does State-Dependent Wage Setting Generate Multiple Equilibria?," KIER Working Papers 991, Kyoto University, Institute of Economic Research.
    6. 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.
    7. 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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    Equilibrium (Economics);

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