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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.
Przegląd Statystyczny
|
2014
|
vol. 61
|
issue 4
325-334
PL
W nawiązaniu do prac Panek (2014a, 2014b) udowodniono tzw. „słabą” oraz „bardzo silną” wersję twierdzenia o magistrali w niestacjonarnym modelu dynamiki ekonomicznej typu Gale’a z kryterium maksymalizacji wartości produkcji, mierzonej w cenach von Neumanna, w ustalonym horyzoncie T={0,1,…,t_1 } funkcjonowania gospodarki. Przy dowodzie „słabego” twierdzenia o magistrali istotną rolę gra produktywność gospodarki oraz jej rosnąca technologiczna efektywność na magistrali. Warunki te nie są wymagane przy dowodzie „bardzo silnego” twierdzenia o magistrali.
EN
In reference to papers Panek (2014a, 2014b) we proved the so called „weak” and „very strong” version of the turnpike theorem in the non-stationary model of economic dynamics of the Gale type with the criterion of maximization of the production value, measured in von Neumann’s prices and with the fixed economy horizon T={0,1,…,t_1 }. In the proof of the „weak” turnpike theorem the efficiency of the economy and its increasing technological efficiency on the turnpike play both significant roles. Those conditions are not required in the proof of the „very strong” turnpike theorem.
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