Analysis of Linear Economic Systems

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Characteristic Root
Comptes Rendus De
Cornelius Lanczos
De La Tour Du Pin
Du Pin
economic equilibrium models
Economic Journals
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Famous French Mathematician
Indecomposable Component
input-output analysis
La Tour
Le Mouvement Social
Linear Substitutions
linear systems in economic research
mathematical economics
Maurice Potron
Maximum Modulus
Maximum Root
nonnegative matrices
Nonnegative Matrix
Oslo Congress
Positive Matrix
Principal Unknowns
production theory
Public Administrations
Satisfactory Regime
Secondary Unknowns
Semaine Sociale
social doctrine economics
Taylor System

Product details

  • ISBN 9780415746540
  • Weight: 408g
  • Dimensions: 156 x 234mm
  • Publication Date: 15 Aug 2014
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Maurice Potron (1872-1942), a French Jesuit mathematician, constructed and analyzed a highly original, but virtually unknown economic model. This book presents translated versions of all his economic writings, preceded by a long introduction which sketches his life and environment based on extensive archival research and family documents.

Potron had no education in economics and almost no contact with the economists of his time. His primary source of inspiration was the social doctrine of the Church, which had been updated at the end of the nineteenth century. Faced with the ‘economic evils’ of his time, he reacted by utilizing his talents as a mathematician and an engineer to invent and formalize a general disaggregated model in which production, employment, prices and wages are the main unknowns. He introduced four basic principles or normative conditions (‘sufficient production’, the ‘right to rest’, ‘justice in exchange’, and the ‘right to live’) to define satisfactory regimes of production and labour on the one hand, and of prices and wages on the other. He studied the conditions for the existence of these regimes, both on the quantity side and the value side, and he explored the way to implement them.

This book makes it clear that Potron was the first author to develop a full input-output model, to use the Perron-Frobenius theorem in economics, to state a duality result, and to formulate the Hawkins-Simon condition. These are all techniques which now belong to the standard toolkit of economists. This book will be of interest to Economics postgraduate students and researchers, and will be essential reading for courses dealing with the history of mathematical economics in general, and linear production theory in particular.

Christian Bidard is Professor of Economics at the University of Paris Ouest, France.

Guido Erreygers is Professor of Economics at the University of Antwerp, Belgium.