Optimal R&D investment with learning-by-doing: multiple steady-states and thresholds.

Greiner, Alfred and Bondarev, Anton. (2017) Optimal R&D investment with learning-by-doing: multiple steady-states and thresholds. Optimal control applications and methods, 38 (6). pp. 956-962.

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Official URL: http://edoc.unibas.ch/56525/

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In this paper, we present an intertemporal optimization problem of a representative R&D firm that simultaneously invests in horizontal and vertical innovations. We posit that learning‐by‐doing makes the process of quality improvements a positive function of the number of existing technologies with the function displaying a convex‐concave form. We show that multiple steady states can arise with 2 being saddle point stable and 1 unstable with complex conjugate eigenvalues. Thus, a threshold with respect to the variety of technologies exists that separates the 2 basins of attractions. From an economic point of view, this implies that a lock‐in effect can occur such that it is optimal for the firm to produce only few technologies at a low quality when the initial number of technologies falls short of the threshold. Hence, history matters as concerns the state of development implying that past investments and innovations determine whether the firm produces a large or a small variety of high‐ or low‐quality technologies, respectively.
Faculties and Departments:06 Faculty of Business and Economics > Departement Wirtschaftswissenschaften > Professuren Wirtschaftswissenschaften > Umweltökonomie (Krysiak)
UniBasel Contributors:Bondarev, Anton A.
Item Type:Article, refereed
Article Subtype:Research Article
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:15 Jun 2018 15:32
Deposited On:15 Jun 2018 15:32

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