Mathematical Needs and Economic Interpretations
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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Volume (Year): 26 (2007)
Issue (Month): 1 ()
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- Debreu, Gerard, 1986. "Theoretical Models: Mathematical Forms and Economic Content," Econometrica, Econometric Society, vol. 54(6), pages 1259-1270, November.
- Comim, Flavio, 2000. "The Santa Fe approach to complexity: a Marshallian evaluation," Structural Change and Economic Dynamics, Elsevier, vol. 11(1-2), pages 25-43, July.
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- Gerard Debreu, 1956. "Market Equilibrium," Cowles Foundation Discussion Papers 10, Cowles Foundation for Research in Economics, Yale University.
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- 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 503-515, July.
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"Adam Smith and All That,"
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- Hausman,Daniel M., 1992. "The Inexact and Separate Science of Economics," Cambridge Books, Cambridge University Press, number 9780521415019, August.
- 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 1848-1858, November.
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- Hausman,Daniel M., 1992. "The Inexact and Separate Science of Economics," Cambridge Books, Cambridge University Press, number 9780521425230, August.
- Donald W. Katzner, 2002. "What are the questions?," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 25(1), pages 51-68, January.
- Chick, Victoria & Dow, Sheila C, 2001. "Formalism, Logic and Reality: A Keynesian Analysis," Cambridge Journal of Economics, Oxford University Press, vol. 25(6), pages 705-721, November.
- Leontief, Wassily, 1971. "Theoretical Assumptions and Nonobserved Facts," American Economic Review, American Economic Association, vol. 61(1), pages 1-7, March. Full references (including those not matched with items on IDEAS)
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