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Stochastic and path dependence effects in the diffusion of ideas

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  • Andrea Mantovi

    () (Department of Economics, University of Parma, Italy; The Rimini Centre for Economic Analysis, Italy)

Abstract

An impersonal mechanism for the diffusion of (the productivity of) ideas along a quality ladder is represented in terms of a Feynman-Kac path integral and the corresponding linear evolution PDE. The explicit solution of the initial value problem is set forth in terms of elementary functions, and the path dependence effects embodied by such a framework are thoroughly discussed. Potential lines of progress are briefly sketched.

Suggested Citation

  • Andrea Mantovi, 2016. "Stochastic and path dependence effects in the diffusion of ideas," Working Paper series 16-12, Rimini Centre for Economic Analysis.
  • Handle: RePEc:rim:rimwps:16-12
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    References listed on IDEAS

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    1. Chang,Fwu-Ranq, 2009. "Stochastic Optimization in Continuous Time," Cambridge Books, Cambridge University Press, number 9780521541947, March.
    2. Aghion, Philippe & Howitt, Peter, 1992. "A Model of Growth through Creative Destruction," Econometrica, Econometric Society, vol. 60(2), pages 323-351, March.
    3. Robert E. Lucas Jr. & Benjamin Moll, 2014. "Knowledge Growth and the Allocation of Time," Journal of Political Economy, University of Chicago Press, vol. 122(1), pages 1-51.
    4. Gene M. Grossman & Elhanan Helpman, 1991. "Quality Ladders in the Theory of Growth," Review of Economic Studies, Oxford University Press, vol. 58(1), pages 43-61.
    5. Jesse Perla & Christopher Tonetti, 2014. "Equilibrium Imitation and Growth," Journal of Political Economy, University of Chicago Press, vol. 122(1), pages 52-76.
    6. Wagner, Alfred, 1891. "Marshall's Principles of Economics," History of Economic Thought Articles, McMaster University Archive for the History of Economic Thought, vol. 5, pages 319-338.
    7. Arrow, Kenneth J, 1969. "Classificatory Notes on the Production and Transmission of Technological Knowledge," American Economic Review, American Economic Association, vol. 59(2), pages 29-35, May.
    8. Jesse Perla & Christopher Tonetti & Jess Benhabib, 2014. "The Growth Dynamics of Innovation, Diffusion, and the Technology Frontier," 2014 Meeting Papers 818, Society for Economic Dynamics.
    9. Pietro Peretto & Michelle Connolly, 2007. "The Manhattan Metaphor," Journal of Economic Growth, Springer, vol. 12(4), pages 329-350, December.
    10. Staley, Mark, 2011. "Growth and the diffusion of ideas," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 470-478.
    11. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    Cited by:

    1. Augusto Schianchi, 2016. "La crescita endogena: una rilettura critica," QUADERNI DI ECONOMIA DEL LAVORO, FrancoAngeli Editore, vol. 2016(106), pages 31-48.

    More about this item

    JEL classification:

    • O33 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Technological Change: Choices and Consequences; Diffusion Processes
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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