Leontief production function
In economics, the Leontief production function or fixed proportions production function is a production function that implies the factors of production will be used in fixed (technologically pre-determined) proportions, as there is no substitutability between factors. It was named after Wassily Leontief and represents a limiting case of the constant elasticity of substitution production function.
The function is of the form
q = \text{Min}\left(\frac{z_1}{a},\frac{z_2}{b}\right)
where q is the quantity of output produced, z1 and z2 are the utilised quantities of input 1 and input 2 respectively, and a and b are technologically determined constants.

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Leontief production function - Wikipedia, the free encyclopedia
In economics, the Leontief production function or fixed proportions production function is a production function that implies the factors of production will be used  ...
en.wikipedia.org/wiki/Leontief_production_function
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Leontief Production Function - Department of Economics
The basic form of a Leontief production function is y. f x x x x. = = ( ,. ) min ( ,. ) 1. 2 . 1. 2 . A Leontief production function is linear homogenous. The input.
www.econ.ohio-state.edu/miyazaki/econ804/LEONTI95.PDF
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Leontief production functions and the Heckscher-Ohlin model
A Leontief production function is one in which factor proportions are fixed: for example ... But the Leontief production function does simplify presentation of the  ...
www.pitt.edu/~upjecon/MCG/0501INTL/Leontief-HOmodel.pdf
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What is the Leontief production function ? - Yahoo! Answers
Jun 16, 2013 ... C-D production function elasticity of substitution of factors is equal to 1 . Leontief PF ( fixed proportion and , and linear) it is zero i.e. no ...
answers.yahoo.com/question/?qid=20130616082932AAl1Lj3
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Chapter 5: Production - CEPE
Oct 21, 2011 ... Leontief production function: inputs are used in fixed proportions. • Cobb- Douglas production function: inputs have a degree of substitutability.
www.cepe.ethz.ch/education/ManagerialEconomics/lecture5b.pdf
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Technology and Substitution
which is also referred to as a Leontief production function - as this form was introduced by Wassily Leontief (1941). Notice that if K is at K* and L is at L「 , then  ...
cruel.org/econthought/essays/product/technol.html
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The Leontief Production Function as a Limiting Case of the CES - Jstor
In this note we provide a derivation of the Leontief production function from ... and Solow (ACMS) are the Cobb Douglas and the Leontief production functions.
www.jstor.org/stable/29793581
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Leontief Production Function Example - The Student Room
Jul 4, 2013 ... Re: Leontief production function Example. 16-07-2013 20:05 3. Suppose the cook has 4.9 kg spaghetti, 60 tomatoes, 54 scallops and 30 garlic ...
www.thestudentroom.co.uk/showthread.php?t=2397657
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Chapter 2: Theory of Production A. Production Functions Consider a ...
Leontief (fixed proportion, no-substitution) production functions. Isocost curves ... Figure 4: Leontief production function in Two-Factor Space x1 x2. Q(Y2). Q(Y2).
homepages.rpi.edu/home/02/tealj2/public_html/econ02.pdf
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appendix to chapter 9
To see why the Leontief is also called the fixed-proportions production function, note first in Figure A.9-7 that if we start with 3 units of K and 2 units of L, we get 6  ...
people.ucsc.edu/~nuclear/econ100a/lectures/appendixch9.pdf
Search results for "Leontief production function"
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Leontief production function in science
[PDF]Estimating a generalized Leontief knowledge production Function ...
Department of Economics, Aristotle University of Thessaloniki, ... Cobb-Douglas functional form of Knowledge Production Function was estimated. Nevertheless ...
Leontief Production Function Example - The Student Room
Jul 4, 2013 ... Choosing a university ... helps out a prospective student at the University of Warwick's open day ... Re: Leontief production function Example.
[PDF]An Application of the Shephard Duality Theorem: A ... - Jstor
Theorem: A Generalized Leontief. Production Function. W. E. Diewert. University of Chicago and University of British Columbia. The paper indicates how the ...
[PDF]Leontief Production Function - Department of Economics
OHIO STATE UNIVERSITY. Fall 1993/1994/1995. File Name: Leonti95.usc. Miyazaki.1@osu.edu. Leontief-type Production Functions. The basic form of a ...
An Application of the Shephard Duality Theorem: A Generalized ...
... of the Shephard Duality Theorem: A Generalized Leontief production function ... Article provided by University of Chicago Press in its journal Journal of ...
Estimating hospital costs with a generalized Leontief function
This paper estimates a long-run hospital cost function with multiple outputs and ... Leontief production function," Journal of Political Economy, University of ...
The Perfect Substitute: Real World Leontief Production Function
Dec 3, 2008 ... Real World Leontief production function. Here is Kevin Carey arguing for universities to make labor more productive with technology.
A Brief History of Production Functions - Munich Personal RePEc ...
Feb 12, 2013 ... It shows how the famous Cobb-Douglas production function was indeed invented ... Harvard University, Harvard (Supervisor - W.W. Leontief).
On the Transition from Instantaneous to Time-Lagged Capital ...
Jan 18, 2005... capital accumulation model with a Leontief-type production function and ... University of Bern - Department of Economics; University of Bern ...
the CES - Homepage of Huub Meijers - UNU-Merit
Senior Researcher at UNU-MERIT, United Nations University & Maastricht ... This function is often referred to as the Leontief production function as it has been ...
Books on the term Leontief production function
Economic Growth Theory: Capital, Knowledge, and Economic ...
Economic Growth Theory: Capital, Knowledge, and Economic ...
Wei-Bin Zhang, 2005
2.9 The OSG Model with the Leontief production function Suppose the production function is taken on the Leontief form: F(K(t),N(t)) = min[AK(t), BN(t)\ where A and B are positive constants. As mentioned before, this form may be considered as ...
Applied Production Analysis: A Dual Approach
Applied Production Analysis: A Dual Approach
Robert G. Chambers, 1988
Leontief and Cobb-Douglas production functions. Two of the best known production functions utilized by economists are the so- called Leontief and Cobb- Douglas functions. These functions are named after the individuals mainly responsible ...
Growth and Distribution
Growth and Distribution
Duncan K. Foley, Thomas R. Michl, 1999
spends to a single technique of production. The Leontief production function is written mathematically: X = min(pK,xN) (3.3) Dividing through by N, we can write the intensive fixed coefficients production function: x = min(pk.x) (3.4) The min(., .)  ...
Introduction to Modern Economic Growth
Introduction to Modern Economic Growth
Daron Acemoglu, 2008
Introduction to Modern Economic Growth is a groundbreaking text from one of today's leading economists. Daron Acemoglu gives graduate students not only the tools to analyze growth and related macroeconomic problems, but also the broad perspective needed to apply those tools to the big-picture questions of growth and divergence. And he introduc...
Economic Growth
Economic Growth
Robert J. Barro, Xavier Sala-i-Martin, 2004
We can use the method developed earlier for the case of a Cobb-Douglas production function to derive a formula for the convergence coefficient in the neighborhood of the steady state. The result for a CES production function, which extends ...
Microeconomics
Microeconomics
David Besanko, 2010
As a study guide, this handbook really stands out. It explains the principles very clearly in a logical order and it uses a lot of examples and cases for students to practise the new techniques. The chapters start with a story to show the reallife relevance of the concepts, which is clearly appreciated by the students. Highly recommended for teachi...
Microeconomics: A Modern Approach: A Modern Approach
Microeconomics: A Modern Approach: A Modern Approach
Andrew Schotter, 2008
In other words, capital and labor must be used in the proportion of 1:6 in order to produce output. This type of production function is known as the Leontief production function.1 We can express this technology as follows if we let y denote the ...
Microeconomics
Microeconomics
David Besanko, 2007
Besanko and Braeutigam present the concepts and theory of microeconomics in a style that enables the reader to learn and experience it. The authors include numerous fully worked-out problems that provide a step-by-step road map to help them solve numerical problems. In addition, extensive real-world examples are integrated throughout the chapters t...
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Blog posts on the term
Leontief production function
Leontief Production Function Example - The Student Room
www.thestudentroom.co.uk/showthread.php?t=2397657
The Perfect Substitute: Real World Leontief Production Function
Here is Kevin Carey arguing for universities to make labor more productive with technology. This reminds me of an experiment I tried earlier this semester.
perfectsubstitute.blogspot.com/2008/12/real-world-leontief-production-function.html
Leontief Production Economic Utility ~ ECONOMIC THEORIES
Wassily Leontief Aggregation, Leontief Production and UtilityWe have already made reference to the problem of aggregation in discussing the input-output model. In the model, the in­numerable separate activities which make up the economy are aggregated into a number of sectors, the flow of products between which is then analysed.
www.economictheories.org/2008/08/leontief-production-economic-utility.html
Capital-labour substitution elasticities in New Zealand: one for all industries? | Australian Policy Online
This paper tests the assumption of a Cobb-Douglas production function (a unitary elasticity of substitution between capital and labour) for 20 of New Zealand’s industries, using Statistics New Zealand’s industry-level productivity data.
apo.org.au/research/capital-labour-substitution-elasticities-new-zealand-one-all-industries
wassily leontief, professor of economics and his contributions | Applied Science Blog
Posted on August 3, 2011 by 07/AS-B/002 U. M.
www.sci.sjp.ac.lk/lms/wordpress/?p=98
Worthwhile Canadian Initiative: Technology, preferences, and wages; kinks and curves, Moseley and Krugman.
Look at the red curve PF1 and the blue curve PF2 in this picture. Ignore everything else: That's the picture Paul Krugman drew, showing how a capital-biased change in technology would shift the production function. The slope of the production...
worthwhile.typepad.com/worthwhile_canadian_initi/2012/12/on-fred-moseley-on-paul-krugman.html
"The myth and mystery of Vietnam's economic and labor demand growth" by Ce Wu
During the past decade, Vietnam has been one of the fastest growing economies in the world, but employment growth has been much slower. The large gap between GDP and employment growth implies real labor productivity growth, so greater per capita income. However, this enlarging gap, together with emerging unemployment and underemployment problems, also indicates limited benefits to employment from output expansion, an issue of concern to Vietnamese policymakers. ^ This dissertation research addresses the relationship between GDP growth and employment growth. The central question is why labor demand in Vietnam grows so much more slowly than GDP. Three fundamental causes proposed to explain slow employment growth are: 1) structural transformation; 2) labor-saving technological progress; and 3) institutional biases due to minimum wage and state investment policies. ^ A decomposition of labor demand growth shows that structural transformation and state investment bias can at most explain 40% of the difference between GDP and employment growth, while the remaining 60% is due to biased technological change and minimum wage bias. Further analysis breaks apart these effects due to changing sectoral output structures and declining labor-output ratios, respectively. ^ Productivity growth prevailed in Vietnam over the past decade, but we need to allow for biased technological change to find it. Biased technological progress is more important than all other factors in affecting labor demand growth. For the entire economy, the Leontief production function best fits the data, and estimates suggest a 5% increase in labor productivity and a 1% increase in capital productivity per year during 2000-2009. The traditional agricultural sector also experienced 3% annual growth of labor productivity accelerating the structural transformation process. ^ State investment bias has slowed labor demand growth by 0.51% per year. Privatization is beneficial to labor demand growth as a result of higher labor intensity in non-state firms relative to state owned enterprises, and robust growth of the domestic private sector. ^ Minimum wage bias is not an important contributing factor, due to low elasticities of factor substitution and weak links between minimum and market wages. Tighter regulation of the minimum wage policy will only strongly affect labor demand in the formal agricultural and manufacturing sectors. ^ The problem of stagnant employment is shared in other Asian countries. Labor demand growth decomposition for China, Hong Kong, Indonesia, Japan, South Korea, the Philippines, Singapore, Thailand, and Vietnam for 1986-2008 shows that biased technological progress was responsible for
docs.lib.purdue.edu/dissertations/AAI3544588/
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