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Constructivity, Computability and Computers in Economic Theory: Some Cautionary Notes

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  • K. Vela Velupillai

Abstract

An overview of the varieties of mathematics that underpin the functioning of a computer is attempted in this paper. Against the backdrop of such an overview, the question is posed whether, and to what extent, the economist has respected these varieties of mathematics in posing economic questions and seeking answers via it, i.e. the computer. The answers are not particularly edifying for the economist.

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  • K. Vela Velupillai, 2004. "Constructivity, Computability and Computers in Economic Theory: Some Cautionary Notes," Metroeconomica, Wiley Blackwell, vol. 55(2‐3), pages 121-140, May.
    • Handle: RePEc:bla:metroe:v:55:y:2004:i:2-3:p:121-140
    DOI: 10.1111/j.0026-1386.2004.00186.x
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    References listed on IDEAS

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    1. Smale, Stephen, 1976. "Dynamics in General Equilibrium Theory," American Economic Review, American Economic Association, vol. 66(2), pages 288-294, May.
    2. Vela Velupillai, K., 2002. "Effectivity and constructivity in economic theory," Journal of Economic Behavior & Organization, Elsevier, vol. 49(3), pages 307-325, November.
    3. Shoven,John B. & Whalley,John, 1992. "Applying General Equilibrium," Cambridge Books, Cambridge University Press, number 9780521266550, November.
    4. Bridges, Douglas S., 1982. "Preference and utility : A constructive development," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 165-185, January.
    5. Bridges, Douglas S. & Richman, Fred, 1991. "A recursive counterexample to Debreu's theorem on the existence of a utility function," Mathematical Social Sciences, Elsevier, vol. 21(2), pages 179-182, April.
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    Cited by:

    1. Duncan K. Foley, 2012. "A Note On The Concept Of Approximate Equilibrium In Economic Theory," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 8(01), pages 95-100.

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