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Comparative Statics and Algorithms for Finding Economic Equilibria

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Nonlinear and Convex Analysis in Economic Theory

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 419))

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Abstract

Consider an excess demand function Z : ℝ l+ → ℝl, pZ(p), where ℝ l+ is the set of price vectors p = (p l,..., p l), p i ≥ 0 and the value of Z are taken in commodity space ℝl. For example, Z = DS, demand less supply, and D, S are derived from a microeconomical setting. This is the approach in [Smale], where some background for this note may be found.

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References

  1. P. Samuelson, Foundations of Economic Analysis, Atheneum, NY, 1971.

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  2. M. Shub and S. Smale, Complexity of Bezout’s Theorem I: Geometric aspects, J. of the Amer. Math. Soc. 6, I-V (1993), 459–501.

    Google Scholar 

  3. M. Shub and S. Smale, Complexity of Bezout’s Theorem II: Volumes and probabilities,Computational Algebraic Geometry (F. Eyssette and A. Galligo, Eds.) Progress in Mathematics, 109, Birkhäuser (1993) 267–285.

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  4. M. Shub and S. Smale, Complexity of Bezout’s Theorem III: Condition number and packing, J.of Complexity, 9 (1993), 4–14.

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  5. M. Shub and S. Smale, Complexity of Bezout’s Theorem IV: Probability of Success, Extensions, to appear in SIAM J. on Numerical Analysis.

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  6. M. Shub and S. Smale, Complexity of Bezout’s Theorem V: Polynomial Time, to appear in “Theoretical Computer Science” 133 (1994).

    Google Scholar 

  7. S. Smale, Global analysis and economics, in Handbook of Math. Economics, Vol. 1, K. Arrow, M. Intrilligator Eds., North Holland, NY, 1981.

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  8. S. Smale, Algorithms for solving equations,Proceedings of the International Congress of Mathematicians, Berkeley, CA, American Mathematical Society, Providence, RI, pp.172–195 (referred to as Berkeley).

    Google Scholar 

  9. J. Wilkinson, Rounding Errors in Algebraic Processes, Prentice Hall, Englewood Hills, NJ, 1963.

    Google Scholar 

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© 1995 Springer-Verlag Berlin Heidelberg

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Smale, S. (1995). Comparative Statics and Algorithms for Finding Economic Equilibria. In: Maruyama, T., Takahashi, W. (eds) Nonlinear and Convex Analysis in Economic Theory. Lecture Notes in Economics and Mathematical Systems, vol 419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48719-4_21

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  • DOI: https://doi.org/10.1007/978-3-642-48719-4_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58767-5

  • Online ISBN: 978-3-642-48719-4

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