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Mathematical needs and economic interpretations

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Author Info
Miguel A. Durán () (Department of Economic Theory and Economic History, University of Granada)
Abstract

This paper aims at showing that the disconnection between formal structures and theoretical content in economic model building could lead to undesirable consequences. In this sense, linking formal and verbal contents by means of coherent and relevant interpretations is worth the effort. For it is a relatively simple way of helping to improve the usefulness of mathematical economic theorization. By way of illustration of these ideas, the paper discusses the interpretation which Arrow and Debreu themselves put on the inclusion of free goods in their proof of existence of a general equilibrium.

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File URL: http://www.ugr.es/~teoriahe/RePEc/gra/wpaper/thepapers05_07.pdf
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Paper provided by Department of Economic Theory and Economic History of the University of Granada. in its series ThE Papers with number 05/07.

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Length: 30 pages
Date of creation: 01 Jun 2005
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Handle: RePEc:gra:wpaper:05/07

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Keywords: Economic Methodology Existence General Equilibrium Theory Interpretation Mathematical Economics.

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  1. Chick, Victoria, 1998. "On Knowing One's Place: The Role of Formalism in Economics," Economic Journal, Royal Economic Society, vol. 108(451), pages 1859-69, November. [Downloadable!] (restricted)
  2. Hart, Oliver D. & Kuhn, Harold W., 1975. "A proof of the existence of equilibrium without the free disposal assumption," Journal of Mathematical Economics, Elsevier, vol. 2(3), pages 335-343, December. [Downloadable!] (restricted)
  3. Gerard Debreu, 1956. "Market Equilibrium," Cowles Foundation Discussion Papers 10, Cowles Foundation, Yale University. [Downloadable!]
  4. Donald W. Katzner, 2003. "Why mathematics in economics?," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 25(4), pages 561-574, July. [Downloadable!] (restricted)
  5. Flavio Comim, 2002. "The Scottish Tradition in Economics and the Role of Common Sense in Adam Smith's Thought," Review of Political Economy, Taylor and Francis Journals, vol. 14(1), pages 91-114, January. [Downloadable!] (restricted)
  6. Davis, John B, 1999. "Common Sense: A Middle Way between Formalism and Post-Structuralism?," Cambridge Journal of Economics, Oxford University Press, vol. 23(4), pages 503-15, July.
  7. Debreu, Gerard, 1991. "The Mathematization of Economic Theory," American Economic Review, American Economic Association, vol. 81(1), pages 1-7, March.
  8. Bergstrom, Theodore C., 1976. "How to discard `free disposability' - at no cost," Journal of Mathematical Economics, Elsevier, vol. 3(2), pages 131-134, July. [Downloadable!] (restricted)
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  9. Coddington, Alan, 1975. "The Rationale of General Equilibrium Theory," Economic Inquiry, Oxford University Press, vol. 13(4), pages 539-58, December.
  10. Paul Davidson, 2003. "Is "mathematical science" an oxymoron when used to describe economics?," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 25(4), pages 527-545, July. [Downloadable!] (restricted)
  11. Donald W. Katzner, 2002. "What are the questions?," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 25(1), pages 51-68, January. [Downloadable!] (restricted)
  12. Chick, Victoria & Dow, Sheila C, 2001. "Formalism, Logic and Reality: A Keynesian Analysis," Cambridge Journal of Economics, Oxford University Press, vol. 25(6), pages 705-21, November.
  13. Leontief, Wassily, 1971. "Theoretical Assumptions and Nonobserved Facts," American Economic Review, American Economic Association, vol. 61(1), pages 1-7, March.
  14. Sheila C. Dow, 2003. "Understanding the relationship between mathematics and economics," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 25(4), pages 547-560, July. [Downloadable!] (restricted)
  15. Debreu, Gerard, 1993. "Existence of competitive equilibrium," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 15, pages 697-743 Elsevier. [Downloadable!] (restricted)
  16. Backhouse, Roger E, 1998. "If Mathematics Is Informal, Then Perhaps We Should Accept That Economics Must Be Informal Too," Economic Journal, Royal Economic Society, vol. 108(451), pages 1848-58, November. [Downloadable!] (restricted)
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