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Negishi's Theorem and Method

  • K.Vela Velupillai
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    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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    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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    1. K. Vela Velupillai, 2008. "Uncomputability and Undecidability in Economic Theory," Department of Economics Working Papers 0806, Department of Economics, University of Trento, Italia.
    2. Scarf, Herbert E., 1993. "The computation of equilibrium prices: An exposition," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 21, pages 1007-1061 Elsevier.
    3. Debreu, Gerard, 1984. " Economic Theory in the Mathematical Mode," Scandinavian Journal of Economics, Wiley Blackwell, vol. 86(4), pages 393-410.
    4. K. Vela Velupillai, 2005. "The foundations of computable general equilibrium theory," Department of Economics Working Papers 0513, Department of Economics, University of Trento, Italia.
    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. Shoven,John B. & Whalley,John, 1992. "Applying General Equilibrium," Cambridge Books, Cambridge University Press, number 9780521266550, November.
    7. 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.
    8. Takashi Negishi, 1961. "Monopolistic Competition and General Equilibrium," Review of Economic Studies, Oxford University Press, vol. 28(3), pages 196-201.
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