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Abstract

Alongside theoretical developments of mathematical economics in the fifties and sixties, the emerging field of computable general equilibrium (CGE) modeling (Scarf and Shoven [1984], Shoven and Whalley [1992]) has been pre-occupied with the problem of numerically solving systems of highly nonlinear simultaneous equations describing general equilibrium states of a multi-sector model of an economy. Path breaking contributions by Scarf [1973], Merrill [1972], van der Laan and Talman [1979], and others in the theory of fixed-point computation have made it now possible to routinely compute numerical solutions of complex CGE models in various areas such as public finance, international trade, development, environment, and economic history.

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References

  1. Brooke, A., D. Kendrick, and A. Meeraus (1992) GAMS 2.25 A User’s Manual. San Francisco: The Scientific Press.

    Google Scholar 

  2. Char, B., et al. (1991a) Maple V Language Reference Manual. New York: Springer-Verlag.

    Book  MATH  Google Scholar 

  3. Char, B., et al. (1991b) Maple V Library Reference Manual. New York: Springer-Verlag.

    Book  MATH  Google Scholar 

  4. Debreu, G. (1959) Theory of Value. New York: Wiley.

    MATH  Google Scholar 

  5. Kehoe, T. J., and J. Whalley (1985) “Uniqueness of Equilibrium in Large Scale Numerical General Equilibrium Models,” Journal of Public Economics28, 247–254.

    Article  Google Scholar 

  6. Mansur, A., and J. Whalley (1984) “Numerical Specification of Applied General Equilibrium Models: Estimation, Calibration, and Data,” chapter 3 in Scarf, H. E. and J. B. Shoven (eds.), Applying General Equilibrium. New York: Cambridge University Press.

    Google Scholar 

  7. Meeraus, A. (1983) “An Algebraic Approach to Modeling,” Journal of Economic Dynamics and Control5: 1, 81–108.

    Google Scholar 

  8. Merrill, O. H. (1972) “Applications and Extension of an Algorithm That Computes Fixed Points of Certain Upper Semi-Continuous Point to Set Mappings,” Ph. D. thesis, Department of Industrial Engineering, University of Michigan.

    Google Scholar 

  9. Murtagh, B. A. and M. A. Saunders (1987) “MINOS 5.1 User’s Guide,” Report SOL 8320R, December 1983. revised January 1987, Stanford University.

    Google Scholar 

  10. Scarf, H. E. (with T. Hansen) (1973) The Computation of Economic Equilibria. New Haven: Yale University Press.

    MATH  Google Scholar 

  11. Scarf, H. E. and J. B. Shoven, eds. (1984) Applied General Equilibrium Analysis. New York: Cambridge University Press.

    Google Scholar 

  12. Shoven, J. B., and J. Whalley (1992) Applying General Equilibrium. New York: Cambridge University Press.

    Google Scholar 

  13. van der Laan, G., and A. J. J. Talman (1979) “A Restart Algorithm for Computing Fixed Points Without an Extra Dimension,” Mathematical Programming17, 74–84.

    Article  MathSciNet  MATH  Google Scholar 

  14. Weintraub, E. R. (1983) “The Existence of a Competitive Equilibrium: 1930–1954,” Journal of Economic Literature21, 1–39.

    Google Scholar 

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© 1993 Springer Science+Business Media New York

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Nguyen, T.T. (1993). Symbolic Compuation in Computable General Equilibrium Modeling. In: Lee, T. (eds) Mathematical Computation with Maple V: Ideas and Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0351-3_15

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  • DOI: https://doi.org/10.1007/978-1-4612-0351-3_15

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6720-1

  • Online ISBN: 978-1-4612-0351-3

  • eBook Packages: Springer Book Archive

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