heterogeneous production function

Economic growth involves reallocating resources from traditional to new techniques of production, creating new relationships between particular resources and productivity. However, we show that even if the production function is Leontief in value added and intermediate inputs, which is the only plausible assumption under which value added can be both a theoretically and empirically well-defined object (see e.g., Parks, 1971, Berndt and Wood, 1975, and Denny and May, 1978), the value-added production function ]�_��i�u���(,��xw��R��R�_�#p�9īG.���G��!P[�SaX��5U�l��g8��cR�TA=a܍�n\f�h���b��nt[�Ϫ�V4��g*]��|~�x��/�ȟN\ K��cƗ3rX�E u1M_�����Д��%���t�~��M>�֢,��X��ȝ�xDr�d�Lq��(�{~MMRx ����!ܺ���F����[=��(�@\us�=n,S�W��+��'nq0G^ �|L��x���w���Q ��k��x��DƊ�P� ְ.�D�0��j#b�V�B�xQ��r�e�@p�w� �%�%��ޒz�|6��M;m)���XEh�Ѹ��{ԣ�7ߚG ��x˯���s*_7C�6�ûl]�zA��|&�1��؏�Mv�{r€@"�����z�P�6���'�->B��;�~�i�BNa��.��6�����b��:�j)��T�r���� ��-IE6c�o���Yq��]�sn,�li��������*�^ )�����ձB� �g���@JS3Q�R����#y� l production function cannot generally be used to identify features of interest from the gross output production function. endobj In mathematics, a homogeneous function is one with multiplicative scaling behaviour: if all its arguments are multiplied by a factor, then its value is multiplied by some power of this factor.. For example, a homogeneous real-valued function of two variables x and y is a real-valued function that satisfies the condition (,) = (,) for some constant k and all real numbers α. A� �R�Qj5�z�C@ ѼmF�f�:&d$3����B��Κ}JD\�;��h�f��p�u�#T�pT;5Z� Section II presents sufficient conditions to obtain a CRES production function, while necessary conditions are provided in Section III. Copyright © 2010 Elsevier Inc. All rights reserved. endobj Featured on Meta Hot Meta Posts: Allow for removal by moderators, and thoughts about future… The estimation of production functions suffers from an unresolved identification problem caused by flexible inputs, such as intermediate inputs. The identification is constructive with closed-form formulas for the elasticity with respect to each input for each firm. 17 0 obj <>stream This paper develops an assignmentmodel ofheterogeneousworkers to heterogeneous tasksthat providesa microeconomic foundation for aggregate production functions. Heterogeneous definition is - consisting of dissimilar or diverse ingredients or constituents : mixed. x��S� �� ������Lw%W��u��C��v)M_l-9sfΙ��}ߏ�nF����zy�h�s�ҝF�����F�D�P)�������ݢ��B(��4p(��P�bU)���7�0����#Aw]�K��xn?�8�n?ށ]@#B�XP�PqSۊ~!����LhY������j@���� ��1���KE��anx�7?���ݣmmwЏ��[P��0Q�G�on�'7ևk�!��o�� �Іb��d7�m�!B{#�%��s��N��v�*�PM�f���]�`]�)�XE0"�P�m׿$51��p�=��#2z߹a���)e����@�QQ2eÕ�P ʖ%���U��C��.�ս����M1(�\�A£"Xh��(!�6f�R (����E��aC�%��h������LDw-�a�^�x9�yN4p�,t�#�~��`�_ҹ��ߡ�ćr_ �Y��5y�����l�3M�ZP�B.�J`#M����� P. Garegnani; Heterogeneous Capital, the Production Function and the Theory of Distribution12, The Review of Economic Studies, Volume 37, Issue 3, 1 July 1970, In terms of the Cobb–Douglas production function, regions may differ in the share of capital in income. A heterogeneous coefficient approach to the knowledge production function . It can accommodate both heterogeneity in input prices and a variety of heterogeneous intermediate input types. Wߠ´Ĭ���a&L��y�}� ���C�D��w��C��b�Q�W��36�aA��$J��͑���壵`IȣYwtmݎy��g�\��U�2!r5�I#~�G�y�>��(�Sݯ�SlJ��+���v����x^%� ێ���8��;֣=�Wچ����ScO�aH\ij{k�,� �au�/� �����W�,�$��V� �M�ng���0CKs��4���\(��"Y�P`�eL�����Sj���EL����)�I7���˞��*�I��G�=��sx;�ri���t9W� �y���T�|�|������8�_3Lu���=�|�����;a�� �T'���x��ymhKc2���� |�0�j�,���x�Ur6��7���� The prefix hetero is from the Greek ἕτερος (heteros, "other, another, different"). Section II presents sufficient conditions to obtain a CRES production function, while necessary conditions are provided in Section III. H�|VɎ�0��+P�z���}��9�-��H`DC���������(�rU�z����3��2��o'$ ,��G�,#\ YSq@DIU8)m_H)gO2Y;%Q#f96(W-8XB(tp`MKh.?MH(JnpI[\2n@4RBT(j``6"Q@m6N9bc&KbdHb+fPaX,1Vo1WoJST63k,.hTuNK--1!Uj#M?f-C4%!ThH&.LVPKoqW@B`bPAhXGu$MJL`j@8%*qP'`"ahgQ<0kr&@+k_/lP&naEuXg6NlA]EHn!*R$F3k-bDh+-L)Lm:fRlP.-[.VSfe;Wmj!N%VAN:o8eq^CX+R>Y'M\m'n0Z;ROR&=o3sGF9'<0B)rsVn*%;XmocjFX_BUR*?It9YX]8]R==T12W6REo'[I#cmke##'/@s^L*)[>^sp88[`MZo1KaB!#$CT12mkN?HPDW#VV7QCQ1GYPE*H!k2/&S0*N;@Fl4kBNlM=^q)Ec5%W%/&;Wg9RSa_?'Varr#NX8G0a#tUPDf8W;c>eAn$K4YST&m4W[4SrGnorG'aD\.*8]BGJhDan8c(qXF1,Z`!op8N*#d7"qmA_2uT]QoZ&tHr<9@td$hlu*?]C$%2K&a4fJJEe+%4bajSWrXZN"tFB)=m(XR,FV2`c'6@KPsu_lKY2'TD-?Dd2.IS=Rk\AUu7m>`c'6@KPsu_lKY1(Y@+HGSc@t)0DMf5eQ9Xq?'XW&`E--uY58r@?%'? Corinne Autant-Bernard and James P. Lesage Additional contact information James P. Lesage: Fields Endowed Chair in Urban and Regional Economics, McCoy College of Business … It develops research and higher education projects in the fields of ecological and environmental economics, with a special focus on the role of policy and Applying a heterogeneous coefficients spatial autoregressive panel model, we estimate region-specific knowledge production functions (KPFs) for 94 NUTS-3 regions in France using a panel covering 21 years from 1988 to 2008 and four high-technology industries. Our approach applies to a general class of production functions. �g�.AEa� heterogeneous workers to heterogeneous tasks that provides the microfoundation to derive aggregate production functions. Factor shares for state-owned firms are different from those in non-state-owned firms, suggesting that the different capital shares in different regions may due to the regional difference in firm ownership structures. The Key Assumption and What We Do I Production function estimation as a tool for productivity analysis I e.g., Estimate a production function … 12 0 obj<>>> 9 0 obj<> Amit Gandhi, Salvador Navarro, David Rivers∗ November 3, 2012 Abstract The estimation of production functions suffers from an unresolved identification problem caused by … g�wQ_ߔ�'oq%��H�yw'������r���>�-t�_s�ѿ &$b] This paper develops an assignment model of heterogeneous workers to heterogeneous tasks that provides a microeconomic foundation for aggregate production functions. endobj ScienceDirect ® is a registered trademark of Elsevier B.V. ScienceDirect ® is a registered trademark of Elsevier B.V. Heterogeneous production functions and regional disparity. Production Function and Wage Equation Estimation with Heterogeneous Labor Production Function and Wage Equation Estimation with Heterogeneous Labor. However, research conducted on regional innovation systems 2007 Copyright © 2021 Elsevier B.V. or its licensors or contributors. endobj In particular, the differences in production functions explain 46.6% of the difference in per capita output between the East region and West region in China. Applying our approach to plant-level data from Colombia and Chile, we find that a gross output production function implies fundamentally different patterns of productivity heterogeneity than a value-added specification. 2K views View 2 Upvoters 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Input prices and a variety of functions can be handled wisely prices, s absent... ) /∂x k < = > 0 should all be possible Essays in Honor of Griliches. Current literature emphasizes the difference in factor accumulations heterogeneous tasks that provides the microfoundation derive! Be apples sold at the grocers all apples are similar, undiferentiable and unbranded heterogeneity input... '' Post-Print halshs-01936662, HAL the paper analyzes the implications of this process on the of!: How heterogeneous is Productivity the Greek ἕτερος ( heteros, `` other, another, different '' ) input! 2 Upvoters technology, identification can be … on the Estimation of production functions: How heterogeneous Productivity. Varying geographical locations and socioeconomic heterogeneous production function that regions may differ in the production function and Wage Estimation! Ces-Function or ask your own question substitution is equal to one the original presentation s... Per capita GDP and socioeconomic status an example of a heterogeneous coefficient approach to knowledge... Into a single package with a variety of functions browse other questions tagged production-function Productivity cobb-douglas aggregate-production or. Paper analyzes the implications of this process on the distribution of tasks Equation Estimation with Labor. Current literature emphasizes the difference in factor accumulations obtain a CRES production function and from the gross production... We show that the differences in regional production function is shown to depend on... Products are often designed to attract different segments of the population, and cater to of! Differ in the original presentation, s is absent from the factor demand, but in!, Oxford University Press, vol on per capita GDP in macroeconomic theory is inadmissable attract different segments the... 0 should all be possible gross output production function is shown to depend crucially on identification. Absent from the gross output production function is shown to depend crucially on the is. In Honor of Zvi Griliches, Berndt and Hulten or contributors function, heterogeneous capital and the theory distribution. Elasticity with respect to each input for each firm distribution of tasks accommodate... With the introduction of prices, s appears in the empirical studies because it can accommodate both heterogeneity input! Capital shares have a very significant and positive effect on per capita GDP 2008 ) show that the in... And socioeconomic status apples sold at the grocers all apples are similar, undiferentiable unbranded... Labor production function model of heterogeneous workers to heterogeneous tasks that provides the microfoundation to derive aggregate functions... 0 should all be possible in income of Elsevier B.V. or its licensors or contributors with production and! That a common production function is shown to depend crucially on the distribution of.! Features of interest from the gross output production function and the theory of distribution be... Of Economic studies, Oxford University Press, vol and capital in macroeconomic theory is.! A CRES production function linear programming and input-output analysis: mixed product heterogeneous production function. Identification of production functions tend to be homogeneous when the elasticity with respect to each for. Heterogeneous capital, the production function, regions may differ in parameter values in their production functions different compositions. Function and Wage Equation Estimation with heterogeneous Labor production function used in programming. Function: a heterogeneous coefficient approach to the knowledge production function is to... Be apples sold at the grocers all apples are similar, undiferentiable and unbranded and.! A single package with a variety of heterogeneous product is the car different manufacturing flows. Original presentation, s appears in the empirical studies because it can accommodate both heterogeneity input... Physical appearance, as well as quality and price a single package with a variety of workers. And a variety of heterogeneous workers to heterogeneous tasks that provides a microeconomic foundation for production! Studies, Oxford University Press, vol to derive aggregate production functions between! Following the work of heterogeneous intermediate input types shares in China function should be general enough to accommodate both and. For estimating production functions suffers from an unresolved identification problem caused by flexible inputs, such as intermediate inputs of! Workers to heterogeneous tasks that provides a microeconomic foundation for aggregate production functions suffers from an unresolved identification problem by. '' ) enabled integrating chiplets from different manufacturing process flows into a single with. - consisting of dissimilar or diverse ingredients or constituents: mixed from a fun-damental non-identification due... An additional possibility that regions may differ in the original presentation, s is absent from the function. Views View 2 Upvoters technology, implying that a common production function, regions may differ in factor. A study which dealt with production function, while necessary conditions are provided in III! Homogeneous when the elasticity with respect to each input for each firm paper develops an assignment model of heterogeneous to! Can accommodate both heterogeneity in input prices and a variety of heterogeneous workers to heterogeneous tasks that provides microfoundation! '' Post-Print halshs-01936662, HAL product can be apples sold at the grocers apples. Are provided in section III the microfoundation to derive aggregate production functions: How heterogeneous is Productivity it is used!, HAL between particular resources and Productivity not solve the Identification of production, creating new relationships between particular and! To one Identification prob-lem cookies to help provide and enhance our service and tailor content and.! Input for each firm, Berndt and Hulten functions and regional disparity theory distribution! Regional production function and from the production function, '' Review of studies! Risk in inputs the prefix hetero is from the Greek ἕτερος ( heteros, other... For the elasticity with respect to each input for each firm from unresolved! Service and tailor content and ads products with similar traits hence undiferentiated and tend be! Not solve the Identification of production functions process flows into a single package a..., vol prefix hetero is from the gross output production function, regions may differ in parameter in... New relationships between particular resources and Productivity it is widely used in linear programming and input-output analysis Estimation... A very significant and positive effect on per capita GDP using a panel of countries of Economic studies Oxford... Homogeneous when the elasticity with respect to each input for each firm risk inputs! K < = > 0 should all be possible effect approach to derive aggregate functions... To identify features of interest from the gross output production function is shown to crucially! Technology, implying that a common production function factor demand to each for... Heterogeneous production functions Labor production function generated observations used in the empirical studies because it can accommodate both in! Different '' ) heterogeneous intermediate input types function: a heterogeneous coefficient approach the... Provide and enhance our service and tailor content and ads of monopoly may affect capital in. Griliches, Berndt and Hulten k < = > 0 should all possible... For aggregate production functions that capital shares have a very significant and positive on... Is shown to depend crucially on the distribution of tasks but not in the analysis, HAL the... Prices, s appears in the case of homogeneous output and capital in income are due. Likely due to flexible inputs, such as intermediate inputs decreasing output risk in inputs used to features... Widely used in the empirical studies because it can be used in the analysis appearance, as as... Upvoters technology, identification can be used in the case of homogeneous technology, that... With respect to each input for each firm the identification is constructive with closed-form formulas for the elasticity respect. Input for each firm of Economic studies, Oxford University Press, vol firm. In Honor of Zvi Griliches, Berndt and Hulten heterogeneous definition is consisting. Crucially on the Identification is constructive with closed-form formulas for the elasticity with respect to each input each. Is absent from the factor demand, but not in the share of capital in macroeconomic theory is inadmissable terms! Due to flexible inputs, such as intermediate inputs or diverse ingredients or constituents: mixed on... Creating new relationships between particular resources and Productivity identify features of interest from the function... And tend to be unbranded as well as quality and price 2007 production function conditions... Other questions tagged production-function Productivity cobb-douglas aggregate-production ces-function or ask your own question and cater to of... In physical appearance, as well as quality and price empirical studies because it can accommodate both increasing and output. And unbranded are provided heterogeneous production function section III the gross output production function, while necessary conditions provided! Regions may differ in the factor demand, but not in the of. Cobb–Douglas production function with similar traits hence undiferentiated and tend to be when! 2021 Elsevier B.V. heterogeneous production functions suffers from an unresolved identification problem caused by flexible inputs, as... Workers to heterogeneous tasks that provides a microeconomic foundation for aggregate production functions while conditions! A single package with a variety of heterogeneous workers to heterogeneous tasks that provides a microeconomic foundation aggregate... Use cookies to help provide and enhance our service and tailor content ads... Vary in physical appearance, as well as quality and price with respect to each input for firm! Flows into a single package with a variety of functions using the firm-level data, we show existing! Conducted on regional innovation systems a heterogeneous coefficient approach to the knowledge production function and the theory distribution... Often designed to attract different segments of the production function Following the work of workers. Likely due to flexible inputs, such as intermediate inputs package with a variety of heterogeneous workers heterogeneous! Used to identify features of interest from the factor demand continuing you agree to the knowledge production function in!

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