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Optimal control of linear econometric models with intermittent controls


Dynamic Programming is used to derive the optimal feedback solution to the minimization of a quadratic welfare loss-functional subject to a linear econometric model, when the value of some instrument variables can not be optimized in every model period, but only in single ones. In this way, the relative inertia of fiscal policy-making, as compared to monetary policy-making, can e.g. be taken into account. Analytical expressions are derived for the optimal feedback rules and for the minimum expected losses, and iterative schemes are proposed for their numerical computation. It is suggested that a numerical analysis of the economic gain to be realized by making more frequent adjustment of fiscal policy variables than is actually undertaken could yield valuable information for policy-makers.

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  1. BellmanR. E. 1957, Dynamic Programming, Princeton, New Jersey: Princeton University Press.

  2. ChowG. 1975, Analysis and Control of Dynamic Economic Systems, New York-London-Sydney-Toronto: John Wiley & Sons, Inc.

  3. Garbade, K. 1976, On the Existence and Uniqueness of Solutions to Multi-Period Linear Quadratic Optimal Control Problems, in International Economic Review. Vol. 17, No. 3, p. 719–731.

  4. PindyckR. 1973, Optimal Planning for Economic Stabilization, Amsterdam: North-Holland Publishing Company.

  5. PrestonJ. 1977, Existence, Uniqueness, and Stability of Linear Optimal Stabilization Policies, in Pitchford and Turnovsky (Eds.): Applications of Control Theory to Economic Analysis, Amsterdam-New York-Oxford: North-Holland Publishing Company, p. 255–292.

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Deissenberg, C. Optimal control of linear econometric models with intermittent controls. Economics of Planning 16, 49–56 (1980).

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  • Dynamic Program
  • Fiscal Policy
  • Iterative Scheme
  • Policy Variable
  • Economic Gain