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Non-Convexities in a Continuous-Time Capital Theory Problem

Author

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  • Russell Davidson
  • Richard Harris

Abstract

In a continuous-time model of capital accumulation, there are convexity or concavity conditions on benefit and cost functions which ensure that dynamical necessary conditions for optimality are also sufficient. Non-convexities can occur in various ways: the Hamiltonian can fail to be concave either in its state variable or in the control variable, and the objective function may not be continuous over time. While stock non-convexities can give rise to multiple equilibria, flow non-convexities can be convexified by averaging over time. A problem of start-up costs is studied to exemplify discontinuous objective functionals.

Suggested Citation

  • Russell Davidson & Richard Harris, 1979. "Non-Convexities in a Continuous-Time Capital Theory Problem," Working Paper 326, Economics Department, Queen's University.
  • Handle: RePEc:qed:wpaper:326
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    Cited by:

    1. Harris, Richard & Wiens, Elmer, 1979. "Investment in Capacity and a Normative Theory of the Dominant Public Firm," Queen's Institute for Economic Research Discussion Papers 275152, Queen's University - Department of Economics.

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