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Complete Comparative Static Differential Equations

Author

Listed:
  • Kalaba, Robert E.
  • Tesfatsion, Leigh S.

Abstract

This article develops a complete system of ordinary differential equations for tracking solution branches x(b) of a parameterized system of nonlinear equations F(x,b) = 0 along arbitrary user-designated paths for the parameter vector b. The complete system is obtained by augmenting the usual fundamental equation of comparative static analysis with ordinary differential equations for the Jacobian inverse. The feasibility and accuracy of the method are illustrated by several numerical examples. Annotated pointers to related work can be accessed here: http://www2.econ.iastate.edu/tesfatsi/nasahome.htm

Suggested Citation

  • Kalaba, Robert E. & Tesfatsion, Leigh S., 1981. "Complete Comparative Static Differential Equations," Staff General Research Papers Archive 11221, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genres:11221
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    Cited by:

    1. Max E. Jerrell, 1999. "Environments for Global Optimization Using Interval Arithmetic and Computational (Automatic) Differentiation," Computing in Economics and Finance 1999 1321, Society for Computational Economics.

    More about this item

    Keywords

    Parameterized nonlinear equations; solution tracking; ordinary differential equations;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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