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Policy rule Nash equilibria

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Listed:
  • Gerhard Sorger

Abstract

. We study how different types of instrument rules affect the outcome of a monetary policy game between the central bank and the private sector. Policy rules can be independent of output and a shock, functions of the shock, or functions of output. We rank the Nash equilibria generated by different types of policy rules according to the central bank's ex ante expected loss. If both players can condition on output, then the following is true: no equilibrium exists if the central bank cares much about output stability and little about price stability, and infinitely many equilibria exist otherwise. JEL classification: E52, E61 Equilibres à la Nash des règles de politique. L’auteur étudie comment le choix de divers types de règles instrumentales a un effet sur le résultat d’un jeu de politique monétaire entre la banque centrale et le secteur privé. Les règles de politique peuvent être indépendantes de la production ou d’un choc, être fonction d’un choc ou de la production. On établit un ordre des équilibres à la Nash engendrés par ces divers types de règles de politique selon la taille des pertes anticipées ex ante par la banque centrale. Si les deux joueurs fondent leur comportement sur la production, il s’ensuit que — aucun équilibre n’existe si la banque centrale est très préoccupée par la stabilité du niveau de production et peu préoccupée de la stabilité des prix, et autrement, une infinité d’équilibres existent.

Suggested Citation

  • Gerhard Sorger, 2003. "Policy rule Nash equilibria," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 36(4), pages 973-992, November.
    • Handle: RePEc:wly:canjec:v:36:y:2003:i:4:p:973-992
    DOI: 10.1111/1540-5982.t01-3-00009
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    References listed on IDEAS

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    More about this item

    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

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