Originally published as a French edition in 1991, and first translated into English for this Cambridge edition in 2004, in this exhaustive study Christian Bidard develops a theory of prices of production. This theory breaks down the symmetry between producers and consumers and gives more importance to reproduction rather than scarcity. In his analysis of multiple-product systems, Bidard focuses on the notion of an all-engaging system which elucidates the link with von Neumann's theory; examines the notions of sector and vertical integration which make possible an elegant treatment of fixed capital; clarifies the status of the internal rate of return; proposes a general theory of rent. In the discussion of capital theory and marginal equalities or, more specifically, the treatment of exhaustible resources, Bidard compares different readings of Sraffa's work and revisits the question of relationships between classical theory (Smith, Ricardo, Marx) and the general equilibrium theory (Walras, Arrow, Debreu).

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.

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.

Originally published as a French edition in 1991, and first translated into English for this Cambridge edition in 2004, in this exhaustive study Christian Bidard develops a theory of prices of production. This theory breaks down the symmetry between producers and consumers and gives more importance to reproduction rather than scarcity. In his analysis of multiple-product systems, Bidard focuses on the notion of an all-engaging system which elucidates the link with von Neumann's theory; examines the notions of sector and vertical integration which make possible an elegant treatment of fixed capital; clarifies the status of the internal rate of return; proposes a general theory of rent. In the discussion of capital theory and marginal equalities or, more specifically, the treatment of exhaustible resources, Bidard compares different readings of Sraffa's work and revisits the question of relationships between classical theory (Smith, Ricardo, Marx) and the general equilibrium theory (Walras, Arrow, Debreu).