Why the data tell us nothing about the importance of increasing returns to scale and externalities to capital
It has long been known that, because of aggregation problems and the Cambridge Capital Theory Controversies, the aggregate production function cannot theoretically exist. Nevertheless, the concept is still widely and uncritically used, presumably because it gives good statistical fits to the data wi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Universidade Estadual de Campinas
2008-12-01
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| Series: | Economia e Sociedade |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0104-06182008000400007 |
| _version_ | 1818320729207209984 |
|---|---|
| author | Jesus Felipe John McCombie |
| author_facet | Jesus Felipe John McCombie |
| author_sort | Jesus Felipe |
| collection | DOAJ |
| description | It has long been known that, because of aggregation problems and the Cambridge Capital Theory Controversies, the aggregate production function cannot theoretically exist. Nevertheless, the concept is still widely and uncritically used, presumably because it gives good statistical fits to the data with plausible results. It is shown that this occurs because of the existence of an underlying accounting identity. A suitable mathematical transformation of this identity ensures that it is always possible to specify an "aggregate production function" where the putative output elasticities equal the factor shares, even though the aggregate production does not exist. This is illustrated by reference to a simulation exercise by Felipe and McCombie (2006) and a study by Oulton and O'Mahony (1994). The latter reject the hypothesis that capital is "special", in that their regression estimates demonstrate that the "output elasticity" of capital does not significantly differ from its factor share. However, it is shown in this paper why the data could not have given any other result. |
| first_indexed | 2024-12-13T10:29:38Z |
| format | Article |
| id | doaj.art-d973f977e23f4d1e9f915a5a39882f61 |
| institution | Directory Open Access Journal |
| issn | 0104-0618 |
| language | English |
| last_indexed | 2024-12-13T10:29:38Z |
| publishDate | 2008-12-01 |
| publisher | Universidade Estadual de Campinas |
| record_format | Article |
| series | Economia e Sociedade |
| spelling | doaj.art-d973f977e23f4d1e9f915a5a39882f612022-12-21T23:50:55ZengUniversidade Estadual de CampinasEconomia e Sociedade0104-06182008-12-0117spe65567510.1590/S0104-06182008000400007Why the data tell us nothing about the importance of increasing returns to scale and externalities to capitalJesus FelipeJohn McCombieIt has long been known that, because of aggregation problems and the Cambridge Capital Theory Controversies, the aggregate production function cannot theoretically exist. Nevertheless, the concept is still widely and uncritically used, presumably because it gives good statistical fits to the data with plausible results. It is shown that this occurs because of the existence of an underlying accounting identity. A suitable mathematical transformation of this identity ensures that it is always possible to specify an "aggregate production function" where the putative output elasticities equal the factor shares, even though the aggregate production does not exist. This is illustrated by reference to a simulation exercise by Felipe and McCombie (2006) and a study by Oulton and O'Mahony (1994). The latter reject the hypothesis that capital is "special", in that their regression estimates demonstrate that the "output elasticity" of capital does not significantly differ from its factor share. However, it is shown in this paper why the data could not have given any other result.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0104-06182008000400007 |
| spellingShingle | Jesus Felipe John McCombie Why the data tell us nothing about the importance of increasing returns to scale and externalities to capital Economia e Sociedade |
| title | Why the data tell us nothing about the importance of increasing returns to scale and externalities to capital |
| title_full | Why the data tell us nothing about the importance of increasing returns to scale and externalities to capital |
| title_fullStr | Why the data tell us nothing about the importance of increasing returns to scale and externalities to capital |
| title_full_unstemmed | Why the data tell us nothing about the importance of increasing returns to scale and externalities to capital |
| title_short | Why the data tell us nothing about the importance of increasing returns to scale and externalities to capital |
| title_sort | why the data tell us nothing about the importance of increasing returns to scale and externalities to capital |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0104-06182008000400007 |
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