「置塩定理」に対する擁護論 : Laibmanの議論の拡張および厳密化をベースとして

抄録

The Okishio theorem is well known theory, and there is much controversy about the correctness of the theory. Recently temporal single system approach tries to refute the theorem. In order to do that, they define two concepts of rate of profit, material rate of profit and value rate of profit. With these, they build the model in which material rate of profit rise, but value rate of profit fall. It seems that this is improper way of refuting Okishio (1961). Okishio didn't say anything about value rate of profit. Whether this rise or fall, it doesn't have any relationship with the Okishio theorem. With this in mind, we can't understand their insisting that have refuted the Okishio theorem. For solving this seemingly inconsistency, it is important to aware that what they calling the Okishio theorem is not the mathematical theory presented in Okishio (1961) itself. As a matter of the fact, their argument is not directly aimed to this original paper. What they actually doing is trying to refute some kind of economic ideology. And they call this ideology 'the Okishio theorem'. For this reason, they insist they have refuted the Okishio theorem'. Laibman (2001) criticizes their argument, and he tries to show that if basing on framework of TSS approach, once assuming scrapping old capital, not only material rate of profit but also value rate of profit are no longer fall. For this task, he uses simulation method as a tool in that paper. I think this is a drawback of that paper. Inherently, simulation method can't prove generality of the result. Generality of the result is very important to vindicate the Okishio theorem. It is what the assertion of the theorem that rate of profit generally rise as long as the condition of the theorem met. Giving analytical expression of the model is essential to prove generality of the result. For this reason in this article we modify Laibman's model, and express it analytically. Basing on this analytical expression, we get the following general conclusion. If we base on the model of TSS approach, once integrating the mechanism of scrapping old capital in the model, value late of profit must rise as long as the condition of the Okishio theorem met. Scrapping old capital is natural assumption for economics. It shows that TSS approach depend on unsound assumption to refute the Okishio theorem.