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Welfare Effects of Controlling Labor Supply? An Application of the Stochastic Ramsey Model


  • Amilon, Henrik

    () (Department of Economics, Lund University)

  • Bermin, Hans-Peter

    () (Department of Economics, Lund University)


In this paper we extend Merton's (1975) classic stochastic version of the Ramsey model by allowing the government to control the expected growth rate of the labor supply. We characterize the solution to this control problem for general time-separable preferences, and derive an analytical solution for the CRRA case. The results show to what extent the planner, or government, increases consumption and welfare by taking an active role in controlling the economy. We also explore the implications of government control of labor growth for the term structure of interest rates and the effects of taxes on capital.

Suggested Citation

  • Amilon, Henrik & Bermin, Hans-Peter, 2001. "Welfare Effects of Controlling Labor Supply? An Application of the Stochastic Ramsey Model," Working Papers 2001:9, Lund University, Department of Economics, revised 11 Mar 2002.
  • Handle: RePEc:hhs:lunewp:2001_009

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    More about this item


    Utility maximization; Ramsey model; stochastic control; interest rate dynamics; Malliavin calculus;

    JEL classification:

    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • 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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