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The issue of time inconsistency revisited as an extended game


  • R. Cellini
  • L. Lambertini


We reformulate the monetary policy model of Barro and Gordon (1983a) by using an extended game with observable delay where the hierarchy of play between the central bank and the private sector is endogenous. This allows us to endogenise the institutional setup wherein the monetary policy game takes place. We show that positive inflation may be observed due to mixed strategies rather than time inconsistency.

Suggested Citation

  • R. Cellini & L. Lambertini, 2003. "The issue of time inconsistency revisited as an extended game," Working Papers 489, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:489

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    References listed on IDEAS

    1. Persson, Torsten & Tabellini, Guido, 1999. "Political economics and macroeconomic policy," Handbook of Macroeconomics,in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 22, pages 1397-1482 Elsevier.
    2. Persson, Mats & Persson, Torsten & Svensson, Lars E O, 1987. "Time Consistency of Fiscal and Monetary Policy," Econometrica, Econometric Society, vol. 55(6), pages 1419-1431, November.
    3. Hamilton, Jonathan H. & Slutsky, Steven M., 1990. "Endogenous timing in duopoly games: Stackelberg or cournot equilibria," Games and Economic Behavior, Elsevier, vol. 2(1), pages 29-46, March.
    4. Barro, Robert J & Gordon, David B, 1983. "A Positive Theory of Monetary Policy in a Natural Rate Model," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 589-610, August.
    5. Barro, Robert J. & Gordon, David B., 1983. "Rules, discretion and reputation in a model of monetary policy," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 101-121.
    6. Fernando Alvarez & Patrick J. Kehoe & Pablo Andrés Neumeyer, 2004. "The Time Consistency of Optimal Monetary and Fiscal Policies," Econometrica, Econometric Society, vol. 72(2), pages 541-567, March.
    7. Lucas, Robert Jr. & Stokey, Nancy L., 1983. "Optimal fiscal and monetary policy in an economy without capital," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 55-93.
    8. d'Aspremont, C. & Gerard-Varet, L. -A., 1980. "Stackelberg-solvable games and pre-play communication," Journal of Economic Theory, Elsevier, vol. 23(2), pages 201-217, October.
    9. Kydland, Finn, 1977. "Equilibrium solutions in dynamic dominant-player models," Journal of Economic Theory, Elsevier, vol. 15(2), pages 307-324, August.
    10. Rogoff, Kenneth, 1987. "Reputational constraints on monetary policy," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 26(1), pages 141-181, January.
    11. Xie, Danyang, 1997. "On Time Inconsistency: A Technical Issue in Stackelberg Differential Games," Journal of Economic Theory, Elsevier, vol. 76(2), pages 412-430, October.
    12. Ireland, Peter N., 1997. "Sustainable monetary policies," Journal of Economic Dynamics and Control, Elsevier, vol. 22(1), pages 87-108, November.
    13. Daniel Cohen & Philippe Michel, 1988. "How Should Control Theory Be Used to Calculate a Time-Consistent Government Policy?," Review of Economic Studies, Oxford University Press, vol. 55(2), pages 263-274.
    14. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
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    JEL classification:

    • B4 - Schools of Economic Thought and Methodology - - Economic Methodology
    • C0 - Mathematical and Quantitative Methods - - General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • M2 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics


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