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Negishi's Theorem and Method

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  • K.Vela Velupillai
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    Abstract

    Takashi 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

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    Bibliographic Info

    Paper provided by ASSRU - Algorithmic Social Science Research Unit in its series ASSRU Discussion Papers with number 1129.

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    Date of creation: 2011
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    Handle: RePEc:trn:utwpas:1129

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    Keywords: Computable General Equilibrium; Fundamental Theorems of Welfare Economics; Negishi's Method;

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    1. K. Vela Velupillai, 2005. "The foundations of computable general equilibrium theory," Department of Economics Working Papers 0513, Department of Economics, University of Trento, Italia.
    2. Debreu, Gerard, 1984. "Economic Theory in the Mathematical Mode," American Economic Review, American Economic Association, vol. 74(3), pages 267-78, June.
    3. Shoven,John B. & Whalley,John, 1992. "Applying General Equilibrium," Cambridge Books, Cambridge University Press, number 9780521319867, April.
    4. Herbert E. Scarf, 1977. "The Computation of Equilibrium Prices: An Exposition," Cowles Foundation Discussion Papers 473, Cowles Foundation for Research in Economics, Yale University.
    5. K. Vela Velupillai, 2011. "Towards An Algorithmic Revolution In Economic Theory," Journal of Economic Surveys, Wiley Blackwell, vol. 25(3), pages 401-430, 07.
    6. 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.
    7. K. Vela Velupillai, 2008. "Uncomputability and Undecidability in Economic Theory," Department of Economics Working Papers 0806, Department of Economics, University of Trento, Italia.
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