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Turing’s Economics-- A Birth Centennial Homage

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  • K. Vela Velupillai

Abstract

In this paper, in homage to Alan Turing’s birth centennial, I try to develop what may be called Turing’s Economics. I characterize the contents of such an ‘economics’ in terms of the conceptual and mathematical tools developed by Alan Turing. It is shown, in more and less detail, how these concepts and tools could be used in core areas of economic theory to raise fundamental queries on claims of computability – and answer them precisely. The conclusion is that the field of Turing’s Economics would – should – contribute to a reorientation of economics in the direction of serious considerations of mathematical epistemology

Suggested Citation

  • K. Vela Velupillai, 2012. "Turing’s Economics-- A Birth Centennial Homage," ASSRU Discussion Papers 1224, ASSRU - Algorithmic Social Science Research Unit.
    • Handle: RePEc:trn:utwpas:1224
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    1. Dixon, Peter B. & Parmenter, B.R., 1996. "Computable general equilibrium modelling for policy analysis and forecasting," Handbook of Computational Economics, in: H. M. Amman & D. A. Kendrick & J. Rust (ed.), Handbook of Computational Economics, edition 1, volume 1, chapter 1, pages 3-85, Elsevier.
    2. K.Vela Velupillai, 2012. "The Epistemology of Simulation, Computation and Dynamics in Economics," ASSRU Discussion Papers 1218, ASSRU - Algorithmic Social Science Research Unit.
    3. Francesco Luna, 2004. "Research and Development in Computable Production Functions," Metroeconomica, Wiley Blackwell, vol. 55(2‐3), pages 180-194, May.
    4. Tesfatsion, Leigh & Judd, Kenneth L., 2006. "Handbook of Computational Economics, Vol. 2: Agent-Based Computational Economics," Staff General Research Papers Archive 10368, Iowa State University, Department of Economics.
    5. Tesfatsion, Leigh, 2006. "Agent-Based Computational Economics: A Constructive Approach to Economic Theory," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 16, pages 831-880, Elsevier.
    6. Kumaraswamy Vela Velupillai, 2010. "Development Economics without Growth Theory," Economia politica, Società editrice il Mulino, issue 1, pages 9-54.
    7. Venkatachalam Ragupathy & Kumaraswamy Vela Velupillai, 2012. "Origins and Early Development of the Nonlinear Endogenous Mathematical Theory of the Business Cycle," Economia politica, Società editrice il Mulino, issue 1, pages 45-80.
    8. Leigh Tesfatsion & Kenneth L. Judd (ed.), 2006. "Handbook of Computational Economics," Handbook of Computational Economics, Elsevier, edition 1, volume 2, number 2.
    9. Stefano Zambelli, 2004. "Production of Ideas by Means of Ideas: A Turing Machine Metaphor," Metroeconomica, Wiley Blackwell, vol. 55(2‐3), pages 155-179, May.
    10. 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.
    11. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1.
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    Cited by:

    1. V. Ragupathy & Stefano Zambelli & K. Vela Velupillai, 2013. "A Non-linear Model of the Trade Cycle: Mathematical Reflections on Hugh Hudson's Classic," Australian Economic Papers, Wiley Blackwell, vol. 52(2), pages 115-125, June.
    2. Vela Velupillai, K., 2014. "Constructive and computable Hahn–Banach theorems for the (second) fundamental theorem of welfare economics," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 36-39.
    3. K.Vela Velupillai, 2014. "Friedman's Characterization of the Natural Rate of Unemployment," ASSRU Discussion Papers 1411, ASSRU - Algorithmic Social Science Research Unit.

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    More about this item

    Keywords

    Computability; Problem Solving; Undecidability; Epistemology; Computational economics;
    All these keywords.

    JEL classification:

    • B41 - Schools of Economic Thought and Methodology - - Economic Methodology - - - Economic Methodology
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models

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