IDEAS home Printed from https://ideas.repec.org/p/cwl/cwldpp/1272.html
   My bibliography  Save this paper

How to Compute Equilibrium Prices in 1891

Author

Abstract

Irving Fisher's Ph.D. thesis, submitted to Yale University in 1891, contains a fully articulated general equilibrium model presented with the broad scope and formal mathematical clarity associated with Walras and his successors. In addition, Fisher presents a remarkable hydraulic apparatus for calculating equilibrium prices and the resulting distribution of society's endowments among the agents in the economy. In this paper we provide an analytical description of Fisher's apparatus, and report the results of simulating the mechanical/hydraulic "machine," illustrating the ability of the apparatus to "compute" equilibrium prices and also to find multiple equilibria.

Suggested Citation

  • William C. Brainard & Herbert E. Scarf, 2000. "How to Compute Equilibrium Prices in 1891," Cowles Foundation Discussion Papers 1272, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:1272
    as

    Download full text from publisher

    File URL: http://cowles.yale.edu/sites/default/files/files/pub/d12/d1272.pdf
    Download Restriction: no

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chuangyin Dang & Yinyu Ye & Zhisu Zhu, 2011. "An interior-point path-following algorithm for computing a Leontief economy equilibrium," Computational Optimization and Applications, Springer, vol. 50(2), pages 223-236, October.
    2. Bruno Codenotti & Kasturi Varadarajan, 2005. "Market Equilibrium in Exchange Economies with Some Families of Concave Utility Functions," Computational Economics 0503001, EconWPA.
    3. Jain, Kamal & Vazirani, Vijay V., 2010. "Eisenberg-Gale markets: Algorithms and game-theoretic properties," Games and Economic Behavior, Elsevier, vol. 70(1), pages 84-106, September.
    4. Donald J. Brown, 2014. "Approximate Solutions of the Walrasian Equilibrium Inequalities with Bounded Marginal Utilities of Income," Cowles Foundation Discussion Papers 1955, Cowles Foundation for Research in Economics, Yale University.
    5. Devanur, Nikhil R. & Garg, Jugal & Végh, László A., 2016. "A rational convex program for linear Arrow-Debreu markets," LSE Research Online Documents on Economics 69224, London School of Economics and Political Science, LSE Library.
    6. K. Vela Velupillai & Stefano Zambelli, 2010. "Computation in Economics," ASSRU Discussion Papers 1001, ASSRU - Algorithmic Social Science Research Unit.
    7. Giocoli, Nicola, 2005. "Mathematics as the role model for neoclassical economics (Blanqui Lecture)," MPRA Paper 33806, University Library of Munich, Germany.
    8. K. Vela Velupillai, 2011. "The Phillips Machine, the Analogue Computing Tradition in Economics and Computability," Economia politica, Società editrice il Mulino, issue 1, pages 39-62.
    9. Jean-Sébastien Lenfant & Jérôme Lallement, 2004. "L'équilibre général comme savoir : de Walras à nos jours," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01765036, HAL.
    10. K. Vela Velupillai, 2010. "Introduction to the Phillips Machine and the Analogue Computing Tradition in Economics," ASSRU Discussion Papers 1008, ASSRU - Algorithmic Social Science Research Unit.

    More about this item

    Keywords

    Fisher; general equilibrium; hydraulic apparatus; equilibrium prices; computable general equilibrium; algorithms;

    JEL classification:

    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • 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
    • B13 - Schools of Economic Thought and Methodology - - History of Economic Thought through 1925 - - - Neoclassical through 1925 (Austrian, Marshallian, Walrasian, Wicksellian)
    • B31 - Schools of Economic Thought and Methodology - - History of Economic Thought: Individuals - - - Individuals

    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:cwl:cwldpp:1272. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Matthew Regan). General contact details of provider: http://edirc.repec.org/data/cowleus.html .

    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.

    We have no references for this item. You can help adding them by using 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.