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The formal similarity between von Neumann's theorem on maximal growth and (a weak form of) the fundamental theorem of linear programming is striking. The parallelism is explained by considering a simple economy for which the two problems are identical
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Maurice Potron (1872-1942) is a French Jesuit and mathematician whose main source of inspiration in economics is the encyclical Rerum Novarum. With virtually no knowledge in economic theory, he wrote down a linear model of production in which he formalized the notions of just prices and just...
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The Ricardian dynamics study the evolution of distribution when demand increases. The successive marginal methods in agriculture are determined by means of a rule which has never been stated explicitly by Ricardo's commentators. But the rule also allows us to point at two limits of Ricardo's...
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The parametric Lemke algorithm finds an odd number of solutions to the linear complementarity problem LCP (q, M), for a matrix M with zero blocks on the diagonal and vector q within a certain domain. A criterion for monotonicity and uniqueness is given. The algorithm applies to the determination...
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In order to extend the theory of value and the trade-off property to economic systems with lands, Ricardo reduced their study to that of productive systems without lands by considering the marginal agricultural methods. Sraffa generalised the analysis to prices of production and rejected the...
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