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Marx-Von Neumann’s Theory of Value

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Modern Analysis of Value Theory

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 207))

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Abstract

The theory of value based on the system of value equations comes up against a crucial difficulty in a von Neumann economy, unless the additional conditions as discussed in the preceding chapter are fulfilled. To presuppose such conditions will, needless to say, circumscribe the validity of Marx’s theory of value,

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Notes

  1. Definition III-3 pertains to an arbitrary q, but the optimum value in this and the following chapters is restricted to that with respect to y = FLx.

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  2. The surplus value in Steedman’s counterexample is negative, but Okishio(7) confirmed that even in that counterexample surplus products are produced. Also see Cheok, A. et al.

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  3. This naming seems to have appeared first in Krause(2).

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  4. The original definitions of the rates of unpaid labour and surplus value by Morishima are slightly different from (5) and (6).

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  5. Note that in a different context Morishima’s true value of good i will be of significance as an extension of employment multipliers, because it is unique.

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  6. Hollander (2) enumerated ten axioms and discussed the linearity of the measure of exploitation. The fundamental Marxian theorem, however, does not depend on the linearity of the valuations of goods.

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  7. Optimum value is, although nonnegative, neither unique nor linear. It may well be denounced for its nonoperationality.

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© 1982 Springer-Verlag Berlin Heidelberg

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Fujimori, Y. (1982). Marx-Von Neumann’s Theory of Value. In: Modern Analysis of Value Theory. Lecture Notes in Economics and Mathematical Systems, vol 207. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45543-8_5

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  • DOI: https://doi.org/10.1007/978-3-642-45543-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11949-4

  • Online ISBN: 978-3-642-45543-8

  • eBook Packages: Springer Book Archive

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