『労働搾取の厚生理論序説』についての幾つかの補論

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  • Some Supplements to "Toward a Welfare Theory of Labor Exploitation"
  • ロウドウ サクシュ ノ コウセイ リロン ジョセツ ニ ツイテ ノ イクツ カ ノ ホロン

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This paper develops three arguments relevant to Marxian exploitation theory. First, it argues on two alternative equilibrium notions proposed in Marxian general equilibrium models: one is the balanced growth equilibrium (BGE) which was originated from von Neumann (1945), while the other is the reproducible solution (RS) proposed by Roemer (1980). Though it is the BGE which has been traditionally taken as canonical, the paper discusses that the RS is more appropriate than the BGE if the Marxian equilibrium notion is to characterize the competitive structure of market economies. Second, the paper provides an alternative elementary proof of the Fundamental Marxian Theorem (FMT) in a simple economic model with 2×2 Leontief input matrix of commodities. Even in such a simple model, the FMT has been usually shown by using an algebraic technique. In contrast, our proof is based a geometric method, which is simpler, more intuitive, and useful as a pedagogical note. Finally, the paper discusses the robustness of the Generalized Commodity Exploitation Theorem (GCET) when the so-called augmented input coefficient matrix M≡A+bL is not necessarily indecomposable. It shows that the GCET holds for every commodity if the matrix M is indecomposable, whereas it holds only for commodities of basic sectors if M is decomposable.

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