IDEAS home Printed from https://ideas.repec.org/p/trn/utwpas/1129.html
   My bibliography  Save this paper

Negishi's Theorem and Method

Author

Listed:
  • K.Vela Velupillai

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

Suggested Citation

  • K.Vela Velupillai, 2011. "Negishi's Theorem and Method," ASSRU Discussion Papers 1129, ASSRU - Algorithmic Social Science Research Unit.
    • Handle: RePEc:trn:utwpas:1129
    as

    Download full text from publisher

    File URL: http://www.assru.economia.unitn.it/files/DP_17_2011_II.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Luenberger David G., 1994. "Optimality and the Theory of Value," Journal of Economic Theory, Elsevier, vol. 63(2), pages 147-169, August.
    2. Debreu, Gerard, 1984. "Economic Theory in the Mathematical Mode," American Economic Review, American Economic Association, vol. 74(3), pages 267-278, June.
    3. 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.
    4. K. Vela Velupillai, 2011. "Towards An Algorithmic Revolution In Economic Theory," Journal of Economic Surveys, Wiley Blackwell, vol. 25(3), pages 401-430, July.
    5. 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.
    6. Shoven,John B. & Whalley,John, 1992. "Applying General Equilibrium," Cambridge Books, Cambridge University Press, number 9780521266550.
    7. Takashi Negishi, 1961. "Monopolistic Competition and General Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(3), pages 196-201.
    8. 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.
    9. Debreu, Gerard, 1984. "Economic Theory in the Mathematical Mode," American Economic Review, American Economic Association, vol. 74(3), pages 267-278, June.
    10. K. Vela Velupillai, 2008. "Uncomputability and Undecidability in Economic Theory," Department of Economics Working Papers 0806, Department of Economics, University of Trento, Italia.
    11. J. v. Neumann, 1945. "A Model of General Economic Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 13(1), pages 1-9.
    12. Takashi Negishi, 1994. "general equilibrium theory," Books, Edward Elgar Publishing, number 331.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. K. Vela Velupillai, 2011. "The Fundamental Theorems of Welfare Economics, DSGE and the Theory of Policy - Computable & Constructive Foundations," ASSRU Discussion Papers 1125, ASSRU - Algorithmic Social Science Research Unit.
    2. K. Vela Velupillai, 2011. "DSGE And Beyond – Computable And Constructive Challenges," ASSRU Discussion Papers 1122, ASSRU - Algorithmic Social Science Research Unit.
    3. K. Vela Velupillai, 2011. "Foley's Thesis, Negishi's Method, Existence Proofs and Computation," ASSRU Discussion Papers 1124, ASSRU - Algorithmic Social Science Research Unit.
    4. K. Vela Velupillai, 2013. "Computability Theory in Economics - Frontiers and a Restrospective," ASSRU Discussion Papers 1302, ASSRU - Algorithmic Social Science Research Unit.
    5. K. Vela Velupillai, 2007. "Variations On The Theme Of Conning In Mathematical Economics," Journal of Economic Surveys, Wiley Blackwell, vol. 21(3), pages 466-505, July.
    6. K. Vela Velupillai, 2007. "Variations on the Theme of Conning in Mathematical Economics," Department of Economics Working Papers 0703, Department of Economics, University of Trento, Italia.
    7. 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.
    8. Vela Velupillai, K., 2002. "Effectivity and constructivity in economic theory," Journal of Economic Behavior & Organization, Elsevier, vol. 49(3), pages 307-325, November.
    9. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, December.
    10. Flores, Renato Jr., 1997. "The gains from MERCOSUL: A general equilibrium, imperfect competition evaluation," Journal of Policy Modeling, Elsevier, vol. 19(1), pages 1-18, February.
    11. Annie-Lou Cot & Jérôme Lallement, 2006. "1859-1959 : de Walras à Debreu, un siècle d'équilibre général," Revue économique, Presses de Sciences-Po, vol. 57(3), pages 377-388.
    12. Esteban-Bravo, Mercedes, 2000. "Existence and computation of a Cournot-Walras equilibrium," DES - Working Papers. Statistics and Econometrics. WS 9968, Universidad Carlos III de Madrid. Departamento de Estadística.
    13. Trockel, Walter & Haake, Claus-Jochen, 2017. "Thoughts on social design," Center for Mathematical Economics Working Papers 577, Center for Mathematical Economics, Bielefeld University.
    14. Vela Velupillai, K., 2014. "Constructive and computable Hahn–Banach theorems for the (second) fundamental theorem of welfare economics," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 36-39.
    15. K. Vela Velupillai, 2010. "To the Beat of Different Drumer....Freedom, Anarchy and Conformism in Research," ASSRU Discussion Papers 1003, ASSRU - Algorithmic Social Science Research Unit.
    16. Nathalie BERTA, 2000. "Le marché dans les modèles de Gérard Debreu," Discussion Papers (REL - Recherches Economiques de Louvain) 2000033, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    17. Fitzroy A. Lee, 2001. "Imperfect Competition and Indirect Tax Structure in a Deregulated Telecommunications Sector," Public Finance Review, , vol. 29(6), pages 419-443, November.
    18. Michael S. Harr'e & Adam Harris & Scott McCallum, 2019. "Singularities and Catastrophes in Economics: Historical Perspectives and Future Directions," Papers 1907.05582, arXiv.org.
    19. Philip Mirowski, 1991. "The When, the How and the Why of Mathematical Expression in the History of Economic Analysis," Journal of Economic Perspectives, American Economic Association, vol. 5(1), pages 145-157, Winter.
    20. K. Vela Velupillai, 2012. "Bourbaki's Destructive Influence on the Mathematization of Economics," ASSRU Discussion Papers 1201, ASSRU - Algorithmic Social Science Research Unit.

    More about this item

    Keywords

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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:trn:utwpas:1129. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: assru.tm@gmail.com (email available below). General contact details of provider: https://edirc.repec.org/data/detreit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.