Fundamental Marxian Theorem
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Fundamental Marxian Theorem
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. ...
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Marxian Economics
Marxian economics, or the Marxian school of economics, is a heterodox school of political economic thought. Its foundations can be traced back to Karl Marx's critique of political economy. However, unlike critics of political economy, Marxian economists tend to accept the concept of the economy prima facie. Marxian economics comprises several different theories and includes multiple schools of thought, which are sometimes opposed to each other; in many cases Marxian analysis is used to complement, or to supplement, other economic approaches. An example can be found in the works of Soviet economists like Lev Gatovsky, who sought to apply Marxist economic theory to the objectives, needs, and political conditions of the socialist construction in the Soviet Union, contributing to the development of Soviet political economy. Marxian economics concerns itself variously with the analysis of crisis in capitalism, the role and distribution of the surplus product and surplus value in ...
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Price
A price is the (usually not negative) quantity of payment or compensation expected, required, or given by one party to another in return for goods or services. In some situations, especially when the product is a service rather than a physical good, the price for the service may be called something else such as "rent" or "tuition". Prices are influenced by production costs, supply of the desired product, and demand for the product. A price may be determined by a monopolist or may be imposed on the firm by market conditions. Price can be quoted in currency, quantities of goods or vouchers. * In modern economies, prices are generally expressed in units of some form of currency. (More specifically, for raw materials they are expressed as currency per unit weight, e.g. euros per kilogram or Rands per KG.) * Although prices could be quoted as quantities of other goods or services, this sort of barter exchange is rarely seen. Prices are sometimes quoted in terms of vouc ...
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Roy Harrod
Sir Henry Roy Forbes Harrod (13 February 1900 – 8 March 1978) was an English economist. He is best known for writing '' The Life of John Maynard Keynes'' (1951) and for the development of the Harrod–Domar model, which he and Evsey Domar developed independently. He is also known for his ''International Economics'', a former standard textbook of international economics, the first edition of which contained some observations and ruminations (wanting in subsequent editions) that would foreshadow theories developed independently by later scholars (such as the Balassa–Samuelson effect). Biography Harrod was born in London to businessman Henry Dawes Harrod and novelist Frances Forbes-Robertson. He attended St Paul's School and then Westminster School. Harrod attended New College in Oxford on a history scholarship. After a brief period in the Artillery, he gained a first in literae humaniores in 1921, and a first in modern history the following year. Afterwards he spent some ...
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Organic Composition Of Capital
The organic composition of capital (OCC) is a concept created by Karl Marx in his theory of capitalism, which was simultaneously his critique of the political economy of his time. It is derived from his more basic concepts of 'value composition of capital' and 'technical composition of capital'. Marx defines the organic composition of capital as "the value-composition of capital, in so far as it is determined by its technical composition and mirrors the changes of the latter". The 'technical composition of capital' measures the relation between the elements of constant capital (plant, equipment and materials) and variable capital (wage workers). It is 'technical' because no valuation is here involved. In contrast, the 'value composition of capital' is the ratio between the value of the elements of constant capital involved in production and the value of the labor. Marx found that the special concept of 'organic composition of capital' was sometimes useful in analysis, since it ass ...
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Tendency Of The Rate Of Profit To Fall
The tendency of the rate of profit to fall (TRPF) is a theory in the crisis theory of political economy, according to which the rate of profit—the ratio of the profit to the amount of invested capital—decreases over time. This hypothesis gained additional prominence from its discussion by Karl Marx in Chapter 13 of '' Capital, Volume III,'' but economists as diverse as Adam Smith, John Stuart Mill, David Ricardo and William Stanley Jevons referred explicitly to the TRPF as an empirical phenomenon that demanded further theoretical explanation, although they differed on the reasons why the TRPF should necessarily occur. Some scholars, such as David Harvey, argue against the TRPF as a quantitative phenomenon, arguing it is an internal logic driving the movement of capital itself. Geoffrey Hodgson stated that the theory of the TRPF "has been regarded, by most Marxists, as the backbone of revolutionary Marxism. According to this view, its refutation or removal would lead to ...
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Ladislaus Bortkiewicz
Ladislaus Josephovich Bortkiewicz (Russian language, Russian Владислав Иосифович Борткевич, German language, German ''Ladislaus von Bortkiewicz'' or ''Ladislaus von Bortkewitsch'') (7 August 1868 – 15 July 1931) was a Russian economist and statistician of Poland, Polish ancestry. He wrote a book showing how the Poisson distribution, a discrete probability distribution, can be useful in applied statistics, and he made contributions to mathematical economics. He lived most of his professional life in Germany, where he taught at Strassburg University (Privatdozent, 1895–1897) and Berlin University (1901–1931). Life and work Ladislaus Bortkiewicz was born in Saint Petersburg, Imperial Russia, to two ethnic Polish parents: Józef Bortkiewicz and Helena Bortkiewicz (née Rokicka). His father was a szlachta, Polish nobleman who served in the Imperial Russian Army, Russian Imperial Army. Bortkiewicz graduated from the Law Faculty in 1890. In 1898 he p ...
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Prices Of Production
Prices of production (or "production prices"; in German ''Produktionspreise'') is a concept in Karl Marx's critique of political economy, defined as "cost-price + average profit". A production price can be thought of as a type of supply price for products; it refers to the price levels at which newly produced goods and services would have to be sold by the producers, in order to reach a normal, average ''profit rate'' on the ''capital'' invested to produce the products (not the same as the profit on the turnover). The importance of these price levels is, that a lot of other prices are based on them, or derived from them: in Marx's theory, they determine the cost structure of capitalist production. The market prices of products normally oscillate around their production prices, while production prices themselves oscillate around product-''values'' (the average current replacement cost in labour-time required to make each type of product). This understanding already existed in class ...
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Iterative Method
In computational mathematics, an iterative method is a Algorithm, mathematical procedure that uses an initial value to generate a sequence of improving approximate solutions for a class of problems, in which the ''i''-th approximation (called an "iterate") is derived from the previous ones. A specific implementation with Algorithm#Termination, termination criteria for a given iterative method like gradient descent, hill climbing, Newton's method, or Quasi-Newton method, quasi-Newton methods like Broyden–Fletcher–Goldfarb–Shanno algorithm, BFGS, is an algorithm of an iterative method or a method of successive approximation. An iterative method is called ''Convergent series, convergent'' if the corresponding sequence converges for given initial approximations. A mathematically rigorous convergence analysis of an iterative method is usually performed; however, heuristic-based iterative methods are also common. In contrast, direct methods attempt to solve the problem by a finit ...
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Input–output Model
In economics, an input–output model is a quantitative economic model that represents the interdependencies between different sectors of a national economy or different regional economies.Thijs Ten Raa, Input–Output Economics: Theory and Applications: Featuring Asian Economies', World Scientific, 2009 Wassily Leontief (1906–1999) is credited with developing this type of analysis and earned the Nobel Prize in Economics for his development of this model. Origins Francois Quesnay had developed a cruder version of this technique called Tableau économique, and Léon Walras's work ''Elements of Pure Economics'' on general equilibrium theory also was a forerunner and made a generalization of Leontief's seminal concept. Alexander Bogdanov has been credited with originating the concept in a report delivered to the All Russia Conference on the Scientific Organisation of Labour and Production Processes, in January 1921. This approach was also developed by Lev Kritzman. Thomas ...
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Das Kapital
''Capital: A Critique of Political Economy'' (), also known as ''Capital'' or (), is the most significant work by Karl Marx and the cornerstone of Marxian economics, published in three volumes in 1867, 1885, and 1894. The culmination of his life's work, the text contains Marx's analysis of capitalism, to which he sought to apply his theory of historical materialism in a critique of political economy, critique of classical political economy. 's second and third volumes were completed from manuscripts after Marx's death in 1883 and published by Friedrich Engels. Marx's study of political economy began in the 1840s, influenced by the works of the classical political economists Adam Smith and David Ricardo. His earlier works, including ''Economic and Philosophic Manuscripts of 1844'' and ''The German Ideology'' (1846, with Engels), laid the groundwork for his theory of historical materialism, which posits that the Base and superstructure, economic structures of a society (in par ...
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Surplus Value
In Marxian economics, surplus value is the difference between the amount raised through a sale of a product and the amount it cost to manufacture it: i.e. the amount raised through sale of the product minus the cost of the materials, plant and labour power. The concept originated in Ricardian socialism, with the term "surplus value" itself being coined by William Thompson (philosopher), William Thompson in 1824; however, it was not consistently distinguished from the related concepts of surplus labor and surplus product. The concept was subsequently developed and popularized by Karl Marx. Marx's formulation is the standard sense and the primary basis for further developments, though how much of Marx's concept is original and distinct from the Ricardian concept is disputed (see ). Marx's term is the German word "''Mehrwert''", which simply means value added (sales revenue minus the cost of materials used up), and is cognate to English "more worth". It is a major concept in Karl M ...
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TRPF
The tendency of the rate of profit to fall (TRPF) is a theory in the crisis theory of political economy, according to which the rate of profit—the ratio of the profit to the amount of invested capital—decreases over time. This hypothesis gained additional prominence from its discussion by Karl Marx in Chapter 13 of ''Capital, Volume III,'' but economists as diverse as Adam Smith, John Stuart Mill, David Ricardo and William Stanley Jevons referred explicitly to the TRPF as an empirical phenomenon that demanded further theoretical explanation, although they differed on the reasons why the TRPF should necessarily occur. Some scholars, such as David Harvey, argue against the TRPF as a quantitative phenomenon, arguing it is an internal logic driving the movement of capital itself. Geoffrey Hodgson stated that the theory of the TRPF "has been regarded, by most Marxists, as the backbone of revolutionary Marxism. According to this view, its refutation or removal would lead to refor ...
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