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Examining the Application of Mathematics in Economics

Author

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  • Kazem Falahati

    (Glasgow Caledonian University, UK)

Abstract

In most scientific disciplines, mathematical models work well empirically and experimentally. However, it is widely recognized that in standard (i.e. neoclassical) economics, mathematical models do not work quite as well, not even at the theoretical level. The question is why. This diagnostic study, which is one of the first in its kind, addresses this question and reveals that mathematics is non-rigorously applied in economics by focusing on the case of ordinal utility theory (which rests at the foundation of neoclassical economics), and identifying three mathematical oversights there. For these reasons, this paper calls for a reconstruction of economic theory with a much more solid foundation than that of the currently dominant paradigm, and with a much more rigorous application of logic and mathematics.

Suggested Citation

  • Kazem Falahati, 2019. "Examining the Application of Mathematics in Economics," Eurasian Journal of Economics and Finance, Eurasian Publications, vol. 7(2), pages 32-41.
  • Handle: RePEc:ejn:ejefjr:v:7:y:2019:i:2:p:32-41
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    References listed on IDEAS

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    1. Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
    2. Frank H. Hahn, 1987. "The Foundations of Monetary Theory," International Economic Association Series, in: Marcello Cecco & Jean-Paul Fitoussi (ed.), Monetary Theory and Economic Institutions, chapter 2, pages 21-43, Palgrave Macmillan.
    3. Patrik Aspers, 2001. "Crossing the Boundary of Economics and Sociology: The Case of Vilfredo Pareto," American Journal of Economics and Sociology, Wiley Blackwell, vol. 60(2), pages 519-545, April.
    4. Debreu, Gerard, 1991. "The Mathematization of Economic Theory," American Economic Review, American Economic Association, vol. 81(1), pages 1-7, March.
    5. Colin Rogers, 2018. "The Conceptual Flaw in the Microeconomic Foundations of Dynamic Stochastic General Equilibrium Models," Review of Political Economy, Taylor & Francis Journals, vol. 30(1), pages 72-83, January.
    6. Till Düppe & E. Roy Weintraub, 2014. "Finding Equilibrium: Arrow, Debreu, McKenzie and the Problem of Scientific Credit," Economics Books, Princeton University Press, edition 1, number 10206.
    7. Michael Hudson, 2000. "The use and abuse of mathematical economics," Journal of Economic Studies, Emerald Group Publishing, vol. 27(4/5), pages 292-315, September.
    8. Daniel Kahneman & Jack L. Knetsch & Richard H. Thaler, 1991. "Anomalies: The Endowment Effect, Loss Aversion, and Status Quo Bias," Journal of Economic Perspectives, American Economic Association, vol. 5(1), pages 193-206, Winter.
    9. Jean-Philippe Bouchaud, 2008. "Economics needs a scientific revolution," Nature, Nature, vol. 455(7217), pages 1181-1181, October.
    10. Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
    11. Arrow, Kenneth J, 1986. "Rationality of Self and Others in an Economic System," The Journal of Business, University of Chicago Press, vol. 59(4), pages 385-399, October.
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