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2 Przegląd Statystyczny

2 2020

2 Panek E.

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On a certain version of the multilane turnpike theorem in Gale’s non-stationary economy

100%

Panek E.

tom 66

nr 2

142-156

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.

Multilane turnpike in the non-stationary input-outputeconomy with von Neumann temporary equilibrium

100%

Panek E.

nr 1

77-92

In the author’s earlier papers concerning asymptotic characteristics of the optimal growth processes in non-stationary Gale economies with multilane production turnpikes, it is assumed that production technology used in time period 𝑡𝑡 may also be used in the next period. Such an assumption, relevant for short periods, is difficult to justify in the longer term. The paper contains a proof of the so called ‘weak’ effect of the multilane turnpike in a non-stationary Gale economy with changing technology, where this assumption has been suspended.