Hirofumi Uzawa’s 4 research works with 74 citations and reads, including: Economic Analysis of Social Common Capital. Hirofumi Uzawa has expertise in. PDF | Hirofumi Uzawa is one of the giants of modern economic theory. Hiro is probably best known to the readers of Macroeconomic Dynamics (MD) for his. Uzawa, Hirofumi – BIBLIOGRAPHY Source for information on Uzawa, Hirofumi: International Encyclopedia of the Social Sciences dictionary.

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His father was a schoolteacher.

At the age of four, Uzawa and his brother moved with their parents to Tokyowhere they grew up. In he enrolled in the Department of Mathematics at the University of Tokyo, where he was chosen as a Special Research Fellow in the department. He received the BS degree in hurofumi at the age of twenty-three inhaving majored in algebraic number theory. After receiving the BS Uzawa entered graduate school and taught mathematics at the University of Tokyo for five years. hjrofumi

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While studying undergraduate mathematics and seeking to become a professional mathematician, Uzawa was led by the postwar poverty of Japan to study economics. He and several others began a systematic reading of Marxian economics. He contemplated joining the Japanese Communist Party but was advised by a friend who was already a member that he could not pass the entrance examination given to prospective members.

He therefore decided to quit mathematics and study economics so that he could learn enough to pass the examination. But he did continue studying mathematics until he earned a degree.

After Uzawa graduated inhe secured a job with the Institute of Statistical Mathematics at the Ministry of Education, and subsequently as a statistician with a life insurance company. The first two were purely statistical theory.

The third was on Leontieff input-output models. During the early s, Uzawa remained actively affiliated with the University of Tokyo. He worked for six months in as an assistant to Everett E.

Hagen was in charge of macroeconomic analysis, and on this project, Uzawa first learned about Keynesian economic policy administration. In the summer ofhe also attended the annual joint University of Tokyo — Stanford University seminar conducted by Dutch economist Hendrik Houtakker b. This institute studied labor economics, Marxian economics, and social issues and published the Journal of the Ohara Institute for Social Researchthe Labor Yearbookpamphlets, and a publications series.

Inthrough Houthakker, Uzawa reviewed the unpublished manuscript of Kenneth J. Global Stability in the Strictly Convex Case. Having become interested in pursuing a career in economics rather than mathematics, in he applied for and received a Fulbright Fellowship to finance the Arrow enterprise.

He was a research assistant at Stanford from to Here, he was exposed to a rigorous mathematical treatment of neoclassical economics, Keynesian theory, and general equilibrium theory rather than Marxist economics.

Uzawa published at least three papers in the Technical Reports uzaa of the Stanford economics department between and Two of these papers contributed to the Houthakker research program in consumer economics, specifically his interest in preference functions. Office of Naval Research. In this book, Uzawa presented a general mathematical theory. This book was concerned with deriving existence proofs for solutions hirodumi programs in linear topological spaces.

These proofs involved the theory of convex polyhedral cones CPC in point-set topology, which are treated algebraically by means of analytical geometry.

Using set theory and linear algebra, Uzawa presented the theory of topology on which the editors based the application to programming in the remainder of the book. In the linear programming problem, the intersection of half-spaces creates a pyramid. The linear constraints of the problem constitute the edges of the polyhedron.

The intersections of these edges constitute the vertices of the polyhedron.

### HET: Hirofumi Uzawa

The solution algorithm evaluates each vertex in turn to find the one constituting the maximum or minimum. In the case of the pyramid, or three-dimensional polyhedron, four or five vertices must be evaluated, depending upon whether the base is a triangle or a square.

The gradient [slope] method is defined as the solution set to a system of differential or difference equations. The gradient is the ratio of the change in the slope of the plane triangle constituting one side of the pyramid. Further, the gradient method is applied to several particular problems, including economic development and growth. It is found that it is slower than the simplex method because it calculates all surface vectors to a linear programming problem, while the simplex method calculates only the optimum vectors, that is, only vertices.

A simplex is the simplest form that can be constructed between points in a given space. Uzawa remained away from Japan for thirteen years, serving on the faculties of the University of California at Berkeley —Stanford —Cambridge —and the University of Chicago — He was thoroughly immersed in the project to mathematize neoclassical economic theory. He left Stanford to attain intellectual independence.

Byhe was married to his wife, Hiroko, and had children. In Uzawa returned to the University of Tokyo as professor of economics until retiring to emeritus status in In andhis interest shifted to the shortrun fluctuations of a capitalist economy, or business cycles, and he published papers on Keynesian theory. Inhe served as president of the Econometric Society. Beginning aroundand continuing to the present, he has been senior advisor to the Research Institute of Capital Formation of the Development Bank of Japan.

## Inada conditions

This again was part of the project to study the nature of equilibrium mathematically but also of the project to renew general equilibrium analysis. Uzawa is most renowned, though, for the development of two-sector neoclassical endogenous growth models, and for a theory of economic growth. The language and categories employed, however, were those yzawa neoclassical economics.

In these growth articles, he was disaggregating the one-sector models of Robert M. Swan — The two sectors were a consumption sector and an investment sector, each using labor and capital to produce an output.

The investment sector produced a capital good, and the consumption sector produced a consumption good. The production functions for each sector exhibited diminishing returns to scale. Hrofumi change was not included in the Solow-Swan model, and so was exogenous. Uzawa included terms for technology in his model, thus endogenizing technological change. His articles stimulated an explosion of research into growth hidofumi in the s, but this interest subsided thereafter. The practical motivation driving his interest in growth was the underdeveloped state of the Japanese economy as he perceived it.

Review hirovumi Economic Studies Arrow, Leonid Hurwicz, and Hirofumi Uzawa, — Duality Principles in the Theory of Cost and Production.

International Economic Papers 5: Irma Nirofumi and Erik Thorbecke, — Uzawa, Hirofumi, and Kenneth J. Preference, Production, and Capital: Selected Papers of Hirofumi Uzawa. Cite this article Pick a style below, and copy the text for your bibliography.

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