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

2020 ◽  
Vol 67 (1) ◽  
pp. 77-92
Author(s):  
Emil Panek
Keyword(s):  
Production Technology ◽  
Optimal Growth ◽  
Weak Effect ◽  
Growth Processes ◽  
Von Neumann ◽  
Temporary Equilibrium ◽  
Time Period

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.

Gale’s Economy with Multiple Turnpikes. “Strong” and “Very Strong” Turnpike Effect

2017 ◽  
Vol 64 (2) ◽  
pp. 137-152
Author(s):  
Emil Panek
Keyword(s):  
Optimal Growth ◽  
Growth Processes

This paper refers to the Panek (2016b) which contained proof of “weak” multiple turnpike’s theorem in the Gale’s stationary economy. Here we present “strong” and “very strong” multiple turnpike’s theorem. We show that, despite the generalization of this model – involving the replacement of a single turnpike (von Neumann’s ray) with the bundle of turnpikes, which we call multilane turnpike – the previously proven turnpike’s main properties of the optimal growth processes of the Gale’s economy do not change.

scholarly journals An Optimal Lower Eigenvalue System

2011 ◽  
Vol 2011 ◽  
pp. 1-20
Author(s):  
Yingfan Liu
Keyword(s):  
Growth Factors ◽  
Lipschitz Continuity ◽  
Optimal Growth ◽  
Lower Eigenvalue ◽  
Input Output ◽  
Von Neumann ◽  
Balanced Growth ◽  
Continuity Result ◽  
Neumann Type ◽  
Eigenvalue System

An optimal lower eigenvalue system is studied, and main theorems including a series of necessary and suffcient conditions concerning existence and a Lipschitz continuity result concerning stability are obtained. As applications, solvability results to some von-Neumann-type input-output inequalities, growth, and optimal growth factors, as well as Leontief-type balanced and optimal balanced growth paths, are also gotten.

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

2019 ◽  
Vol 66 (2) ◽  
pp. 142-156 ◽  
Author(s):  
Emil Panek
Keyword(s):  
Optimal Growth ◽  
Growth Processes ◽  
Geometric Image ◽  
Turnpike Theorem ◽  
The Future ◽  
Single Production

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.

The Tempo and mode(S) of Prebiotic Evolution

1997 ◽  
Vol 161 ◽  
pp. 419-429 ◽  
Author(s):  
Antonio Lazcano
Keyword(s):  
Origin Of Life ◽  
Organic Compounds ◽  
Biological Evolution ◽  
Current Evidence ◽  
Early Diversification ◽  
Time Period ◽  
The Galaxy ◽  
History Of ◽  
Widespread Phenomenon ◽  
The Origin Of Life

AbstractDifferent current ideas on the origin of life are critically examined. Comparison of the now fashionable FeS/H2S pyrite-based autotrophic theory of the origin of life with the heterotrophic viewpoint suggest that the later is still the most fertile explanation for the emergence of life. However, the theory of chemical evolution and heterotrophic origins of life requires major updating, which should include the abandonment of the idea that the appearance of life was a slow process involving billions of years. Stability of organic compounds and the genetics of bacteria suggest that the origin and early diversification of life took place in a time period of the order of 10 million years. Current evidence suggest that the abiotic synthesis of organic compounds may be a widespread phenomenon in the Galaxy and may have a deterministic nature. However, the history of the biosphere does not exhibits any obvious trend towards greater complexity or «higher» forms of life. Therefore, the role of contingency in biological evolution should not be understimated in the discussions of the possibilities of life in the Universe.

Alteration of Mitochondria in Oxythiamine-Induced, Acute Thiamine Deficiency in the Mouse

1976 ◽  
Vol 34 ◽  
pp. 284-285
Author(s):  
Itaru Watanabe ◽  
Dante G. Scarpelli
Keyword(s):  
Electron Microscopy ◽  
Adult Male ◽  
Thiamine Deficiency ◽  
Light And Electron Microscopy ◽  
Fatty Change ◽  
Deficient Diet ◽  
Subcutaneous Injections ◽  
Swiss Mice ◽  
Time Period ◽  
Ad Libitum

Acute thiamine deficiency was produced in mice by the administration of oxythiamine, a thiamine analogue, superimposed upon a thiamine deficient diet. Adult male Swiss mice (30 gm. B.W.) were fed with a thiamine deficient diet ad libitumand were injected with oxythiamine (170 mg/Kg B.W.) subcutaneously on days 4 and 10. On day 11, severe lassitude and anorexia developed, followed by death within 48 hours. The animals treated daily with subcutaneous injections of thiamine (300 μg/Kg B.W.) from day 11 through 15 were kept alive. Similarly, feeding with a diet containing thiamine (600 μg/Kg B.W./day) from day 9 through 17 reversed the condition. During this time period, no fatal illness occurred in the controls which were pair-fed with a thiamine deficient diet.The oxythiamine-treated mice showed a significant enlargement of the liver, which weighed approximately 1.5 times as much as that of the pair-fed controls. By light and electron microscopy, the hepatocytes were markedly swollen due to severe fatty change and swelling of the mitochondria.

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