The Two-Sector Law: An Elementary Mathematical Resolution to Marx's Transformation Problem

La Loi des Deux Branches: Une Résolution du Problème de la Transformation chez Marx par les Mathématiques Élémentaires

Norbert Ankri
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Norbert Ankri: AMU - Aix Marseille Université, UNIS - Unité de Neurobiologie des canaux Ioniques et de la Synapse - AMU - Aix Marseille Université - INSERM - Institut National de la Santé et de la Recherche Médicale

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Abstract: This paper provides a simple, rigorous resolution to Marx's transformation problem using only elementary mathematics. By modeling the economy with two sectors and employing basic algebra, we demonstrate that the problem reduces to ensuring a proportional allocation of capital that aligns production with solvable social needs. This approach cuts through decades of obscurity, reaffirming the scientific coherence of Marx's law of value and its explosive conclusion: profit originates from unpaid labor.

Keywords: Économie politique marxiste; problème de la transformation; théorie de la valeur; plus-value; prix de production; taux de profit (search for similar items in EconPapers)
Date: 2025-10-15
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