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Research and Development in Computable Production Functions

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  • Francesco Luna

Abstract

In this paper, transmissibility and replicability of blueprints confine production functions to computable processes. The immediate consequence is that research and development and the emergence of technological innovations are naturally embedded in computable production functions. There is no need to introduce ad hoc probability distributions to model the arrival of innovations as the uncertain result of research and development activity. Rather, in this approach, well‐known results like the halting problem or Rice theorem harness production theory so as to encompass product and process innovation.

Suggested Citation

  • Francesco Luna, 2004. "Research and Development in Computable Production Functions," Metroeconomica, Wiley Blackwell, vol. 55(2‐3), pages 180-194, May.
    • Handle: RePEc:bla:metroe:v:55:y:2004:i:2-3:p:180-194
    DOI: 10.1111/j.0026-1386.2004.00189.x
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    References listed on IDEAS

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    1. Romer, Paul, 1993. "Idea gaps and object gaps in economic development," Journal of Monetary Economics, Elsevier, vol. 32(3), pages 543-573, December.
    2. Kumaraswamy Velupillai & Stefano Zambelli, "undated". "Production Functions as Turing Machines," Computing in Economics and Finance 1997 19, Society for Computational Economics.
    3. Herbert E. Scarf, 2008. "Neighborhood Systems for Production Sets with Indivisibilities," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 5, pages 105-130, Palgrave Macmillan.
    4. Herbert E. Scarf, 2008. "Production Sets with Indivisibilities Part I: Generalities," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 2, pages 7-38, Palgrave Macmillan.
    5. Romer, Paul M, 1990. "Are Nonconvexities Important for Understanding Growth?," American Economic Review, American Economic Association, vol. 80(2), pages 97-103, May.
    6. Francesco Luna, "undated". "The Emergence of a Firm as a Complex-Problem Solver," Computing in Economics and Finance 1997 166, Society for Computational Economics.
    7. Herbert Scarf, 1994. "The Allocation of Resources in the Presence of Indivisibilities," Journal of Economic Perspectives, American Economic Association, vol. 8(4), pages 111-128, Fall.
    8. Herbert E. Scarf, 2008. "Production Sets with Indivisibilities Part II. The Case of Two Activities," Palgrave Macmillan Books, in: Zaifu Yang (ed.), Herbert Scarf’s Contributions to Economics, Game Theory and Operations Research, chapter 3, pages 39-67, Palgrave Macmillan.
    9. Joshua M. Epstein & Robert L. Axtell, 1996. "Growing Artificial Societies: Social Science from the Bottom Up," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262550253, April.
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    Cited by:

    1. Kumaraswamy Vela Velupillai, 2013. "Turing's Economics. A Birth Centennial Homage," Economia politica, Società editrice il Mulino, issue 1, pages 13-32.

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