Publications
Response to “dimensions and logarithmic function in economics: A comment” Journal Article
Mayumi, Kozo; Giampietro, Mario
In: Ecological Economics, 75 , pp. 12–14, 2012, ISSN: 09218009.
Abstract | Links | BibTeX | Tags: Cobb-Douglas function, Dimensions, Logarithmic function, Macroeconomics, Nicholas Georgescu-Roegen
@article{Mayumi2012,
title = {Response to “dimensions and logarithmic function in economics: A comment”},
author = {Kozo Mayumi and Mario Giampietro},
url = {https://linkinghub.elsevier.com/retrieve/pii/S0921800912000419},
doi = {10.1016/j.ecolecon.2012.01.018},
issn = {09218009},
year = {2012},
date = {2012-03-01},
journal = {Ecological Economics},
volume = {75},
pages = {12--14},
abstract = {This piece is a response to Chilarescu and Viasu's comment on our previously published article in Ecological Economics. We give an analytical expression of the logarithmic function and show that putting a number with dimensions in logarithmic function does violate the principle of dimensional homogeneity: dimensionally different numbers cannot be summed up. We present other examples of this analytical error, including several by Nobel Prize winners in Economics. We show that Proposition 1 by Chilarescu and Viasu is too obvious to be necessary to prove. We briefly touch on the hidden analytical fallacy associated with empirical works in economics that extensively use Cobb-Douglas or CES production function. textcopyright 2012 Elsevier B.V.},
keywords = {Cobb-Douglas function, Dimensions, Logarithmic function, Macroeconomics, Nicholas Georgescu-Roegen},
pubstate = {published},
tppubtype = {article}
}
Reconsideration of dimensions and curve fitting practice in view of Georgescu-Roegen's epistemology in economics Journal Article
Mayumi, K.; Giampietro, M.; Ramos-Martin, J.
In: Romanian Journal of Economic Forecasting, 15 (4), 2012, ISSN: 15826163.
Abstract | Links | BibTeX | Tags: Cobb-Douglas function, Curve fitting, Dimensions, Econometrics, Logarithmic function, Macroeconomics, Nicholas Georgescu-Roegen, Transcendental production function
@article{Mayumi2012a,
title = {Reconsideration of dimensions and curve fitting practice in view of Georgescu-Roegen's epistemology in economics},
author = {K. Mayumi and M. Giampietro and J. Ramos-Martin},
url = {https://ipe.ro/rjef/rjef4_12/rjef4_2012p17-35.pdf},
issn = {15826163},
year = {2012},
date = {2012-01-01},
journal = {Romanian Journal of Economic Forecasting},
volume = {15},
number = {4},
abstract = {This paper is to examine the proper use of dimensions and curve fitting practices elaborating on Georgescu-Roegen's economic methodology in relation to the three main concerns of his epistemological orientation. Section 2 introduces two critical issues in relation to dimensions and curve fitting practices in economics in view of Georgescu-Roegen's economic methodology. Section 3 deals with the logarithmic function (ln z) and shows that z must be a dimensionless pure number, otherwise it is nonsensical. Several unfortunate examples of this analytical error are presented including macroeconomic data analysis conducted by a representative figure in this field. Section 4 deals with the standard Cobb-Douglass function. It is shown that the operational meaning cannot be obtained for capital or labor within the Cobb-Douglas function. Section 4 also deals with economists' "curve fitting fetishism". Section 5 concludes this paper with several epistemological issues in relation to dimensions and curve fitting practices in economics.},
keywords = {Cobb-Douglas function, Curve fitting, Dimensions, Econometrics, Logarithmic function, Macroeconomics, Nicholas Georgescu-Roegen, Transcendental production function},
pubstate = {published},
tppubtype = {article}
}
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