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Zbl 1108.91056
Kamihigashi, Takashi; Roy, Santanu
Dynamic optimization with a nonsmooth, nonconvex technology: the case of a linear objective function. (English)
[J] Econ. Theory 29, No. 2, 325-340 (2006). ISSN 0938-2259; ISSN 1432-0479/e

This paper presents a comprehensive analysis of a one-sector optimal growth model with linear utility in which the production is only required to be increasing and upper semicontinuous. The paper is organized as follows. First the authors describe the model. In the next section they develop various properties that constitute the essential tools of their analysis. In section 4 they show results on monotonicity and convergence of optimal paths. In the next section the authors present conditions for survival, extinction, and the existence of a minimum safe standard of conversation. Finally the turpike properties of optimal paths are described.
[Marian Matłoka (Poznań)]

MSC 2000:: *91B62 Dynamic economic models etc.
91B28 Finance etc.

Keywords: nonconvex; nonsmooth; discontinuous technology; extinction; survival; turnpike; linear utility

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