The Cobb-Douglas function for a continuum model

This paper introduces two formal equivalent definitions of the Cobb-Douglas function for a continuum model based on a generalization of the Constant Elasticity of Substitution (CES) function for a continuum under not necessarily constant returns to scale and based on principles of product calculus....

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Autores:
Ospina Holguín, Javier Humberto
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/62563
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/62563
http://bdigital.unal.edu.co/61722/
Palabra clave:
33 Economía / Economics
CES function
Cobb-Douglas function
continuum
product integral
functional derivative.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_595bd476d183d4d094f0cd59759dd3c0
oai_identifier_str oai:repositorio.unal.edu.co:unal/62563
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network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Ospina Holguín, Javier Humberto71d34b56-683d-41fd-aba5-2e4260e6705c3002019-07-02T21:04:28Z2019-07-02T21:04:28Z2017-01-01ISSN: 2248-4337https://repositorio.unal.edu.co/handle/unal/62563http://bdigital.unal.edu.co/61722/This paper introduces two formal equivalent definitions of the Cobb-Douglas function for a continuum model based on a generalization of the Constant Elasticity of Substitution (CES) function for a continuum under not necessarily constant returns to scale and based on principles of product calculus. New properties are developed, and to illustrate the potential of using the product integral and its functional derivative, it is shown how the profit maximization problem of a single competitive firm using a continuum of factors of production can be solved in a manner that is completely analogous to the one used in the discrete case.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias Económicas - Escuela de Economíahttps://revistas.unal.edu.co/index.php/ceconomia/article/view/49052Universidad Nacional de Colombia Revistas electrónicas UN Cuadernos de EconomíaCuadernos de EconomíaOspina Holguín, Javier Humberto (2017) The Cobb-Douglas function for a continuum model. Cuadernos de Economía, 36 (70). pp. 1-18. ISSN 2248-433733 Economía / EconomicsCES functionCobb-Douglas functioncontinuumproduct integralfunctional derivative.The Cobb-Douglas function for a continuum modelArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL49052-304684-1-PB.pdfapplication/pdf1431097https://repositorio.unal.edu.co/bitstream/unal/62563/1/49052-304684-1-PB.pdf99583a508eca20b6db0db952bb686e72MD51THUMBNAIL49052-304684-1-PB.pdf.jpg49052-304684-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5403https://repositorio.unal.edu.co/bitstream/unal/62563/2/49052-304684-1-PB.pdf.jpgb7d5bbce5c54bfc80eaff5341cee87aeMD52unal/62563oai:repositorio.unal.edu.co:unal/625632024-04-25 00:05:05.176Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv The Cobb-Douglas function for a continuum model
title The Cobb-Douglas function for a continuum model
spellingShingle The Cobb-Douglas function for a continuum model
33 Economía / Economics
CES function
Cobb-Douglas function
continuum
product integral
functional derivative.
title_short The Cobb-Douglas function for a continuum model
title_full The Cobb-Douglas function for a continuum model
title_fullStr The Cobb-Douglas function for a continuum model
title_full_unstemmed The Cobb-Douglas function for a continuum model
title_sort The Cobb-Douglas function for a continuum model
dc.creator.fl_str_mv Ospina Holguín, Javier Humberto
dc.contributor.author.spa.fl_str_mv Ospina Holguín, Javier Humberto
dc.subject.ddc.spa.fl_str_mv 33 Economía / Economics
topic 33 Economía / Economics
CES function
Cobb-Douglas function
continuum
product integral
functional derivative.
dc.subject.proposal.spa.fl_str_mv CES function
Cobb-Douglas function
continuum
product integral
functional derivative.
description This paper introduces two formal equivalent definitions of the Cobb-Douglas function for a continuum model based on a generalization of the Constant Elasticity of Substitution (CES) function for a continuum under not necessarily constant returns to scale and based on principles of product calculus. New properties are developed, and to illustrate the potential of using the product integral and its functional derivative, it is shown how the profit maximization problem of a single competitive firm using a continuum of factors of production can be solved in a manner that is completely analogous to the one used in the discrete case.
publishDate 2017
dc.date.issued.spa.fl_str_mv 2017-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-02T21:04:28Z
dc.date.available.spa.fl_str_mv 2019-07-02T21:04:28Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
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dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2248-4337
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/62563
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/61722/
identifier_str_mv ISSN: 2248-4337
url https://repositorio.unal.edu.co/handle/unal/62563
http://bdigital.unal.edu.co/61722/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/ceconomia/article/view/49052
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Cuadernos de Economía
Cuadernos de Economía
dc.relation.references.spa.fl_str_mv Ospina Holguín, Javier Humberto (2017) The Cobb-Douglas function for a continuum model. Cuadernos de Economía, 36 (70). pp. 1-18. ISSN 2248-4337
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias Económicas - Escuela de Economía
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/62563/1/49052-304684-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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