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Optimal growth processes in a non-stationary Gale economy with a multilane production turnpike

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Panek E.
Economics and Business Review
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2019
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vol. 5 (19)
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issue 2
EN
The topic of the paper is relevant in the field of optimal growth theory and therefore might be seen as an intellectual underpinning for research and practice in the field of transition economies and sustainable long-time development as well. It refers to the papers Panek (2015a, 2018) devoted to asymptotic properties of optimal growth properties in the non-stationary Gale type economy with single and multi-lane turnpikes in which it was assumed that changing production technology converges in time with certain limits of technology. As far as the postulate of a non-stationary economy (here: technology change) is consistent with real processes, the hypothesis of the existence of some limiting technology may raise controversies and be difficult to verify. In the paper, referring to the above mentioned publications and Panek (2014), a Gale-type economy with changing technology, multi-lane turnpike and time-increasing production efficiency, with no assumption concerning the existence of a limit technology will be examined.
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On a certain version of the multilane turnpike theorem in Gale’s non-stationary economy

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Panek E.
Przegląd Statystyczny
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2019
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vol. 66
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issue 2
142-156
EN
In the vast majority of papers concerning asymptotic (main) properties of the optimal growth processes in Neumann-Gale-Leontief’s stationary economies, the geometric image of a turnpike is expressed by a single ray, called von Neumann’s ray. Even though neither the postulate of stationariness nor unambigiousness of a production turnpike are consistent with the observations of real economic processes, the list of papers devoted to the effect of a multilane turnpike in Neumann-Gale-Leontief’s non-stationary economies (with changing technology and multiple lanes) is much more modest. These works include mainly papers by Panek (2017, 2018), where the author replaces a single production turn-pike in Gale’s non-stationary economy with a multilane turnpike. This paper draws directly upon the author’s earlier work (Panek, 2019), where two turnpike theorems were presented. Both of them were based on the assumption signifi-cantly weakened by this paper – that in Gale’s non-stationary economy the optimal pro-duction structure in period ݐ remains optimal also in the future.
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