β Scribed by Professor Charalambos D. Aliprantis, Professor Donald J. Brown, Professor Owen Burkinshaw (auth.)
No coin nor oath required. For personal study only.
This monograph is a systematic exposition of the authors' research on general equiΒ librium models with an infinite number of commodities. It is intended to serve both as a graduate text on aspects of general equilibrium theory and as an introduction, for economists and mathematicians working in mathematical economics, to current research in a frontier area of general equilibrium theory. To this end, we have proΒ vided two introductory chapters on the basic economic model and the mathematical framework. The exercises at the end of each section complement the main exposition. Chapter one is a concise but substantiative discussion of the questions of exisΒ tence and optimality of competitive equilibria in the Walrasian general equilibrium model of an economy with a finite number of households, firms and commodities. Our extension of this model to economies with an infinite number of commodities constitutes the core material of this book and begins in chapter three. Readers faΒ miliar with the Walrasian general equilibrium model as exposited in [13], [23J or [52J may treat chapter one as a handy reference for the main economic concepts and notions that are used throughout the book.
Front Matter....Pages I-XII
The Arrow-Debreu Model....Pages 1-85
Riesz Spaces of Commodities and Prices....Pages 86-111
Markets with Infinitely Many Commodities....Pages 112-176
Production with Infinitely Many Commodities....Pages 177-228
The Overlapping Generations Model....Pages 229-271
Back Matter....Pages 272-284
Economic Theory
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