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: Artículo
Idioma: Inglés
Publicado: Universidad de Costa Rica 2013
Materias:
Acceso en línea: http://revistas.ucr.ac.cr/index.php/economicas/article/view/8007
http://hdl.handle.net/10669/18510
Sumario: 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.