James C. Moore - Böcker

This book brings together cutting edge contributions in the fields of international economics, micro theory, welfare economics and econometrics, with contributions from Donald R. Davis, Avinash K. Dixit, Tadashi Inoue, Ronald W. Jones, Dale W. Jorgenson, K. Rao Kadiyala, Murray C. Kemp, Kenneth M. Kletzer, Anne O. Krueger, Mukul Majumdar, Daniel McFadden, Lionel McKenzie, James R. Melvin, James C. Moore, Takashi Negishi, Yoshihiko Otani, Raymond Riezman, Paul A. Samuelson, Joaquim Silvestre and Marie Thursby.

This book brings together cutting edge contributions in the fields of international economics, micro theory, welfare economics and econometrics, with contributions from Donald R. Davis, Avinash K. Dixit, Tadashi Inoue, Ronald W. Jones, Dale W. Jorgenson, K. Rao Kadiyala, Murray C. Kemp, Kenneth M. Kletzer, Anne O. Krueger, Mukul Majumdar, Daniel McFadden, Lionel McKenzie, James R. Melvin, James C. Moore, Takashi Negishi, Yoshihiko Otani, Raymond Riezman, Paul A. Samuelson, Joaquim Silvestre and Marie Thursby.

The contributing authors are Daniel McFadden, Rosa Matzkin, Emma Moreno-Garcia, Roger Lagunoff, Yakar Kannai, Myrna Wooders, James Moore, Ted Bergstrom, Luca Anderlini, Lin Zhou, Mark Bagnoli, Alexander Kovalenkov, Carlos Herves-Beloso, Michaela Topuzu, Bernard Cornet, Andreu Mas-Colell and Nicholas Yannelis.

A good basic understanding of general equilibrium theory is a fundamental and indispensable background for advanced work in virtually any sub-field of economics; and a thorough understanding of the methods of welfare economics, particularly in a general equilibrium context, is indispensable for investigators undertaking applied policy analysis. This book addresses these needs and requirements by emphasizing the basic underpinnings of general equilibrium and welfare economics. In particular, the theory of choice, which is fundamental to both areas, is developed in a very comprehensive and rigorous fashion. Moreover, extensive use is made of examples, both of the simple type intended to bolster the student’s understanding of the basic concepts, and those illustrating the application of the material to field areas in economics.

The two-volume work is intended to function as a textbook for graduate students in economics as well as a reference work for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate student in economics, these two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. Volume One covers basic set theory, sequences and series, continuous and semi-continuous functions, an introduction to general linear spaces, basic convexity theory, and applications to economics. Volume Two introduces general topology, the theory of correspondences on and into topological spaces, Banach spaces, topological vector spaces, and maximum, fixed-point, and selection theorems for such spaces.

This is the second of a two-volume work intended to function as a textbook well as a reference work for economic for graduate students in economics, as scholars who are either working in theory, or who have a strong interest in economic theory. While it is not necessary that a student read the first volume before tackling this one, it may make things easier to have done so. In any case, the student undertaking a serious study of this volume should be familiar with the theories of continuity, convergence and convexity in Euclidean space, and have had a fairly sophisticated semester's work in Linear Algebra. While I have set forth my reasons for writing these volumes in the preface to Volume 1 of this work, it is perhaps in order to repeat that explanation here. I have undertaken this project for three principal reasons. In the first place, I have collected a number of results which are frequently useful in economics, but for which exact statements and proofs are rather difficult to find; for example, a number of results on convex sets and their separation by hyperplanes, some results on correspondences, and some results concerning support functions and their duals. Secondly, while the mathematical top­ ics taken up in these two volumes are generally taught somewhere in the mathematics curriculum, they are never (insofar as I am aware) done in a two-course sequence as they are arranged here.

The contributing authors are Daniel McFadden, Rosa Matzkin, Emma Moreno-Garcia, Roger Lagunoff, Yakar Kannai, Myrna Wooders, James Moore, Ted Bergstrom, Luca Anderlini, Lin Zhou, Mark Bagnoli, Alexander Kovalenkov, Carlos Herves-Beloso, Michaela Topuzu, Bernard Cornet, Andreu Mas-Colell and Nicholas Yannelis.

A good basic understanding of general equilibrium theory is a fundamental and indispensable background for advanced work in virtually any sub-field of economics; and a thorough understanding of the methods of welfare economics, particularly in a general equilibrium context, is indispensable for investigators undertaking applied policy analysis.

The two-volume work is intended to function as a textbook for graduate students in economics as well as a reference work for economic scholars. Assuming only the minimal mathematics background required of every second-year graduate student in economics, these two volumes provide a self-contained and careful development of mathematics through locally convex topological vector spaces, and fixed-point, separation, and selection theorems in such spaces. Volume One covers basic set theory, sequences and series, continuous and semi-continuous functions, an introduction to general linear spaces, basic convexity theory, and applications to economics. Volume Two introduces general topology, the theory of correspondences on and into topological spaces, Banach spaces, topological vector spaces, and maximum, fixed-point, and selection theorems for such spaces.