Abstract

Because anti-Marxist's criticism against Fundamental Marxian Theorem (FMT) is based on an assertion that this proof can be understood as a “natural-resources exploitation,” if we assume, for example, “natural-resources theory of value,” we should prove not only exploitation but also labor theory of value itself. Therefore, this article aims to prove labor theory of value mathematically by focusing on the historically conditional proportionality between labor input and amounts of products which is assumed in labor theory of value. By this proof of the conditional proportionality, we show that marginalist principle does not disturb labor theory of value in capitalism at all. Furthermore, marginalist principle is important to show the labor process as a subjective optimization process which is not by the sun but only by human beings. In this way, we use anti-Marxist's marginal principle to object anti-Marxist criticism against labor theory of value.

Highlights

  • Fundamental Marxian Theorem (FMT) is the most important achievement in mathematical Marxian economics

  • Labor theory of value should be modeled as a model where the agents maximize a certain target

  • In the 1960s, Johansen (1963) linked linear production functions to the principle that the marginal utility of each good is proportional to each price

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Summary

Defense of FMT and Marginalist Principle

Fundamental Marxian Theorem (FMT) is the most important achievement in mathematical Marxian economics. It is because linear functions do not have any non-corner solutions of the optimization problem and it is not realistic In this sense, some researches tried to link the labor theory of value with the marginalist principles. We introduce the utility–disutility dimension of value determination model which can neglect the price–wage dimension because it is only in the commodity exchange society or capitalist society By this mode, we will show the special condition of capitalism which realizes the proportionality between amount of products and labor expense, not the proportionality between price and labor expense which was proved by Hagendorf (2014).

Human Beings
Broad sense of Nature
Another Explanation by Minimum Necessary Investment
Full Text
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