Nobuo Okishio
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Nobuo Okishio (置塩 信雄?, January 2, 1927–November 13, 2003) was a Japanese Marxian economist and emeritus professor of Kobe University. In 1979, he was elected President of the Japan Association of Economics and Econometrics, which is now called Japanese Economic Association.
Okishio studied mathematical economics under Kazuo Mizutani. In 1950 he graduated from Kobe University and later taught there. He soon began to doubt the premises and results of modern economics, and decided to search for alternatives by studying Marxian economics.
Okishio worked to clarify the logic of Karl Marx’s economic system, offering formal and mathematical proofs for many Marxian theorems. For example, in 1955, he gave the world's first proof of the “Marxian fundamental theorem”, as it was later named by Michio Morishima, which is the theory that the exploitation of surplus labor is the necessary condition for the existence of positive profit. Concerning Marx’s Falling Rate of Profit, Okishio considered that his famous theorem would not deny it.
Okishio wrote many papers covering various important fields in modern and Marxian economics, for example value and price, accumulation theory, critical analysis of Keynesian economics, trade cycle theory and on the long run tendency of capitalistic economy. They were published in over twenty books and two hundred papers, almost all in Japanese. About thirty of his published papers have been translated in English, and much of these materials are collected in the book (Nobuo Okishio, Michael Kruger and Peter Flaschel, 1993).
Value and Exploitation Theory[edit]
Formulation of Labor Embodied Value[edit]
Okishio showed how Marxian value is determined quantitatively. The value equation presented by Okishio determines the amount of labor directly and indirectly needed to produce one unit of commodity as follows.
ti = Σaij + τi (i = 1, .... ,n)
where aij is the amount of jth goods and τi is the direct labor input needed to produce one unit of ith goods. He first got this idea when he was writing “On Exchange Theory” in 1954 in Japanese and a little later in 1955 more clearly wrote in English paper “Monopoly and the Rates of Profits” Kobe University Economic Review.
Fundamental Marxian Theorem[edit]
Using this equation Okishio proved Marx’s fundamental proposition that the exploitation of surplus labor is the necessary condition for the existence of positive profit, later called as Fundamental Marxian Theorem by Michio Morishima. This proof has some characteristics. First, it does not preclude the acceptance of value theory in advance. Starting from the existence of profit expressed in price terms, we can deduct the existence of surplus value as a logical consequence. This is the opposite way to Marx, who started from value and reached price and profit. Okishio’s proof has effects to persuade the validity of Marxian propositions to much more non-Marxian economists at present.
Measurement[edit]
According to this value equation we can make quantitative measurements using input-output tables developed after World War Two. Okishio himself tried it at the first time in 1958 in Japanese economy and since then we have many measurement investigations in many countries. Measurements from 1955 to 1985 in Japanese economy show that vales and prices move differently in the short run but in the long run these two magnitudes very much coincidently move.[citation needed] Thus at least in the long run values can be said to be playing a gravitating role of prices.


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