Microeconomics

Download Preference, Production and Capital: Selected Papers of by Hirofumi Uzawa PDF

By Hirofumi Uzawa

ISBN-10: 0511664494

ISBN-13: 9780511664496

The papers accumulated right here take care of a variety of themes in monetary thought, starting from choice and intake, duality and construction, equilibrium, capital, and progress, to the speculation of social overhead capital. all of them have a standard subject matter: to aim to formulate the operating of financial forces in a capitalist economic system by way of mathematical versions and to discover their static, dynamic, and welfare implications. many of the papers have been initially released throughout the Nineteen Sixties and early Seventies.

Show description

Read Online or Download Preference, Production and Capital: Selected Papers of Hirofumi Uzawa PDF

Similar microeconomics books

Money, Macroeconomics and Keynes

This quantity, in addition to its significant other quantity technique, Microeconomics and Keynes, is released in honour of Victoria Chick, encouraged by way of her personal contributions to wisdom in all of those components and their interconnections. It represents either consolidation and the breaking of recent floor in Keynesian financial conception and macroeconomics by way of best figures in those fields.

Economic Exchange and Social Organization: The Edgeworthian foundations of general equilibrium theory

This booklet goals to strengthen an institutional method of common monetary equi­ librium. up to now, institutional economics has basically been restricted to in basic terms verbal discourse. right here I argue the case that common equilibrium concept types a good rounded foundation for the improvement of an institutional financial the­ ory.

Theory of Cost and Production Functions

A sequel to his often mentioned rate and construction capabilities (1953), this ebook deals a unified, accomplished therapy of those features which underlie the commercial concept of construction. The method is axiomatic for a definition of expertise, through mappings of enter vectors into subsets of output vectors that symbolize the unconstrained technical chances of creation.

Additional resources for Preference, Production and Capital: Selected Papers of Hirofumi Uzawa

Sample text

Then the Slutsky matrix S(p,m) is defined and satisfies the conditions of symmetry (S) and negative semidefiniteness (N) for every element (p,m) of Q. Proof. Let (p°, m°) be a point of Q and x° = £(p°9 m°). Define a subset K of the nonnegative commodity space by K = {X:XGD 0 andx^x }. (2) We define the function \i on n by (3) xeK [It is sometimes convenient to write more explicitly fi(p;p°,m°) for Since K is composed of nonnegative vectors, for any pell and xeK, px is a nonnegative number; therefore a nonnegative ^i(p) exists for all p e l l .

See Samuelson [8], pp. 111-112.

M) = x} is convex. • Lemma 7. 1), then /i(p;po,m°) = for all p. KKP1^1) Proof. Let p(t) and m(t) be defined by equations (51) and (52). Then, by Lemma 6, l m(t)) = ftp0, m°), for all 0 ^ t^ 1. Hence, ^ l. § The relation (58) shows that the path {(p(t\m(t)):0^ solution to (20). Applying Lemma 2 we then get fi(p(t); p°, m°) = m{t\ for all 0 g t^ 1. Therefore, hence, by Lemma 2, H(p;p°9m°) = n(p;p\m1), for all p. 3. Theorem 2 then follows directly from Lemma 8. Lemma 8. Let the demand function £(p,ra) satisfy conditions (A), (B), (D), (E), (S), and (N).

Download PDF sample

Rated 4.67 of 5 – based on 42 votes