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Demand Functions and the Slutsky Matrix. (PSME-7), Volume 7
The utility idea has had a long history in economics, especially in the explanation of demand and in welfare economics. In a comprehensive survey and critique of the Slutsky theory and the pattern to which it belongs in the economic context, S. N. Afriat offers a resolution of questions central to its main idea, including sufficient conditions as well. Originally published in 1980. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
The Market
This punchy book unites mainline mathematical economics and sometimes idiosyncratic political economy. Freshness is brought to the market concept giving general equilibrium theory a new lease of life, and an opening of thought on such matters as free trade, globalization and the environment. Where most theories of general equilibrium have been based on utility maximizing traders, Afriat here maintains the view that the topic essentially is concerned with aggregates and that anything to do with utility is at best secondary if not spurious. The book goes on to discuss political economy, in particular the idea of 'optimum', and its abuses, especially in doctrine related to the market. This novel book will be of equal appeal to mathematical thinkers, those interested in the theory of market and political economists.
The Price Index and its Extension
The book is not an unrestricted survey engaging a vast and repetative literature, but a systematic treatise within clear boundaries, largely a document of Afriat's own work. The original motive of the work is to elaborate a concept of what really is a price index, which, despite some kind of price-level notion having a presence throughout economics
Linear Dependence
Deals with the most basic notion of linear algebra, to bring emphasis on approaches to the topic serving at the elementary level and more broadly. A typical feature is where computational algorithms and theoretical proofs are brought together. Another is respect for symmetry, so that when this has some part in the form of a matter it should also be reflected in the treatment. Issues relating to computational method are covered. These interests may have suggested a limited account, to be rounded-out suitably. However this limitation where basic material is separated from further reaches of the subject has an appeal of its own. To the `elementary operations' method of the textbooks for doing l...
The Index Number Problem
This volume addresses the search for a true price index, the need to know how to convert an amount at one date into the right amount at another date. The longstanding question concerning how such an index should be constructed is known as 'The Index Number Problem'.
The American Economic Review
Includes annual List of doctoral dissertations in political economy in progress in American universities and colleges.
Games of No Chance 5
Surveys the state-of-the-art in combinatorial game theory, that is games not involving chance or hidden information.
Knotted Doughnuts and Other Mathematical Entertainments
Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1986 edition and contains columns published from 1972-1974.
Studies in Correlation
Sydney afriat; Regression and projection; Studies in the algebra of statistical correlation; Multivariate analysis. Econometrics and information theory.
