A MATHEMATICAL STUDY OF THE SRAFFIAN MODEL

This paper has two primary objects. On the one hand, it presents a rigorous derivation of the Sraffa model recurring to some theorems discovered by Frobenius and Perron at the beginning of the twentieth century. This presentation is used to study the concept of productive economies or surplus econom...

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Autor principal: Hall, Luis J.
Formato: Online
Idioma:eng
spa
Publicado: San José: Editorial Universidad de Costa Rica 2022
Acceso en línea:https://revistas.ucr.ac.cr/index.php/economicas/article/view/8007
id ECONOMICAS8007
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spelling ECONOMICAS80072020-07-23T16:08:21Z A MATHEMATICAL STUDY OF THE SRAFFIAN MODEL A MATHEMATICAL STUDY OF THE SRAFFIAN MODEL Hall, Luis J. SRAFFA ECONOMIES OFF PRODUCTION CLASSIC ECONOMICS THEORY OFF DISTRIBUTION PRICES SRAFFA ECONOMIES OFF PRODUCTION CLASSIC ECONOMICS THEORY OFF DISTRIBUTION PRICES This paper has two primary objects. On the one hand, it presents a rigorous derivation of the Sraffa model recurring to some theorems discovered by Frobenius and Perron at the beginning of the twentieth century. This presentation is used to study the concept of productive economies or surplus economies, the solution to the price system and also to provide a clear derivation of the concept of the Standard Commodity. The second goal of the paper is to sketch von Neumann's balanced growth model and show how Sraffa's model is related to Neumann`s model. Showing the role of the assumptions, one can establish the relationship between both models, particularly the role of irreducibility to obtain uniqueness and unify the study of both models. This paper has two primary objects. On the one hand, it presents a rigorous derivation of the Sraffa model recurring to some theorems discovered by Frobenius and Perron at the beginning of the twentieth century. This presentation is used to study the concept of productive economies or surplus economies, the solution to the price system and also to provide a clear derivation of the concept of the Standard Commodity.The second goal of the paper is to sketch von Neumann's balanced growth model and show how Sraffa's model is related to Neumann`s model. Showing the role of the assumptions, one can establish the relationship between both models, particularly the role of irreducibility to obtain uniqueness and unify the study of both models.  San José: Editorial Universidad de Costa Rica 2022-11-24 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer Reviewed Article Artículo evaluado por pares application/pdf application/pdf https://revistas.ucr.ac.cr/index.php/economicas/article/view/8007 10.15517/rce.v30i2.8007 Revista de Ciencias Económicas; Vol. 30 No. 2 (2012): Revista de Ciencias Económicas: (July - December) Revista de Ciencias Económicas; Vol. 30 Núm. 2 (2012): Revista de Ciencias Económicas: (julio - diciembre) 2215-3489 0252-9521 eng spa https://revistas.ucr.ac.cr/index.php/economicas/article/view/8007/7628 https://revistas.ucr.ac.cr/index.php/economicas/article/view/8007/7629 Derechos de autor 2014 Ciencias Económicas https://creativecommons.org/licenses/by-nc-nd/3.0/cr/
institution Universidad de Costa Rica
collection Revista de Ciencias Económicas
language eng
spa
format Online
author Hall, Luis J.
spellingShingle Hall, Luis J.
A MATHEMATICAL STUDY OF THE SRAFFIAN MODEL
author_facet Hall, Luis J.
author_sort Hall, Luis J.
description This paper has two primary objects. On the one hand, it presents a rigorous derivation of the Sraffa model recurring to some theorems discovered by Frobenius and Perron at the beginning of the twentieth century. This presentation is used to study the concept of productive economies or surplus economies, the solution to the price system and also to provide a clear derivation of the concept of the Standard Commodity.The second goal of the paper is to sketch von Neumann's balanced growth model and show how Sraffa's model is related to Neumann`s model. Showing the role of the assumptions, one can establish the relationship between both models, particularly the role of irreducibility to obtain uniqueness and unify the study of both models. 
title A MATHEMATICAL STUDY OF THE SRAFFIAN MODEL
title_short A MATHEMATICAL STUDY OF THE SRAFFIAN MODEL
title_full A MATHEMATICAL STUDY OF THE SRAFFIAN MODEL
title_fullStr A MATHEMATICAL STUDY OF THE SRAFFIAN MODEL
title_full_unstemmed A MATHEMATICAL STUDY OF THE SRAFFIAN MODEL
title_sort mathematical study of the sraffian model
title_alt A MATHEMATICAL STUDY OF THE SRAFFIAN MODEL
publisher San José: Editorial Universidad de Costa Rica
publishDate 2022
url https://revistas.ucr.ac.cr/index.php/economicas/article/view/8007
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