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Negishi’s Theorem and Method: Computable and Constructive Considerations

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  • K. Velupillai

Abstract

Negishi’s remarkable youthful contribution to welfare economics, general equilibrium theory and, with the benefit of hindsight, also to one strand of computable general equilibrium theory, all within the span of six pages in one article, has become one of the modern classics of general equilibrium theory and mathematical economics. Negishi’s celebrated theorem and what has been called Negishi’s Method have formed one foundation for computable general equilibrium theory. In this paper I investigate the computable and constructive aspects of the theorem and the method. Copyright Springer Science+Business Media New York 2015

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  • K. Velupillai, 2015. "Negishi’s Theorem and Method: Computable and Constructive Considerations," Computational Economics, Springer;Society for Computational Economics, vol. 45(2), pages 183-193, February.
    • Handle: RePEc:kap:compec:v:45:y:2015:i:2:p:183-193
    DOI: 10.1007/s10614-013-9416-5
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    References listed on IDEAS

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    1. Takashi Negishi, 2008. "Unnoticed predecessors of the early Negishi theorems," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(2), pages 167-173, June.
    2. Takashi Negishi, 1961. "Monopolistic Competition and General Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(3), pages 196-201.
    3. Starr,Ross M., 2011. "General Equilibrium Theory," Cambridge Books, Cambridge University Press, number 9780521533867.
    4. Starr,Ross M., 2011. "General Equilibrium Theory," Cambridge Books, Cambridge University Press, number 9780521826457.
    5. Cheng, Harrison H. C., 1991. "Asset market equilibrium in infinite dimensional complete markets," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 137-152.
    6. Warren Young, 2008. "Negishi's contributions to the development of economic analysis: Research programs and outcomes," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(2), pages 151-165, June.
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    Cited by:

    1. Venkatachalam Ragupathy & K. Vela Velupillai, 2016. "Notes on a ‘Constructive Proof of the Existence of a Collateral Equilibrium’," Computational Economics, Springer;Society for Computational Economics, vol. 48(1), pages 179-181, June.
    2. K. Vela Velupillai, 2016. "Seven Kinds of Computable and Constructive Infelicities in Economics," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 12(03), pages 219-239, November.

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    More about this item

    Keywords

    Computable general equilibrium; Fundamental theorems of welfare economics; Negishi’s theorem; Negishi’s method; C63; C68; D58; D60;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • D60 - Microeconomics - - Welfare Economics - - - General

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