WeiB, P., University of Cologne, Germany

Unemployment in Open Economies
A Search Theoretic Analysis

2001. XII, 226 pp. 15 figs., 5 tabs. Softcover
3-540-41161-5

Unemployment in Open Economies studies how domestic labour markets are influenced by a changing international environment. It combines the recently developed search and matching models with standard models of international trade. By this method, the reader gains new insights in the ongoing debate on how globalisation can affect unemployment. The author develops a collection of models showing that globalisation can be one reason for long-known and well-documented phenomenons on the labour market. She puts emphasis on country differences by studying the role of individual risk behavior and the wage setting on the unemployment level.

Keywords: Open Economy Macroeconomics, Unemployment, Job Search

Contents: 1 Introduction.- 2 Stylised Facts: 2.1 Matching on the Labour Market and Unemployment; 2.2 Trade and the Terms of Trade.- 3 A Two-Sector Search Model of an Open Economy without Capital: 3.1 The Reference Model of Risk-Neutral Individuals; 3.2 International Trade and Exchange Rate Shocks in the Medium Run;3.3 The Evolution to the New Equilibrium -The Adjustment Process; 3.4 The Economy with Risk-Neutral Individuals and Individual Bargaining; 3.5. Appendix A.- 4 The Generalised Model: An Open Economy with Risk-Averse Individuals: 4.1 Individual Bargaining with Risk-Averse Individuals; 4.2 The Effects of a Terms-of-Trade Shock on an Economy with Risk-Averse Individuals; 4.3 The Economy with
Risk-Averse Individuals and Individual Bargaining; 4.4. Appendix B.- 5 An Open Economy with
Industry-Level Bargaining: 5.1 Trade Unions in Economic Models; 5.2. Wages under Collective
Bargaining; 5.3 Trade Unions in an Open Economy; 5.4 The Economy with Risk-Neutral Individuals and Collective Bargaining; 5.5 An Illustrative Numerical Example of Risk Neutrality, Risk Aversion, and Collective Bargaining; 5.6 Appendix C.- 6 A Simple Matching Model of a One-Sector Economy with Capital Accumulation: 6.1 The Individual's and Firm's Decision Problem; 6.2 The Equilibrium with Capital Accumulation - The Long-Run-Perspective; 6.3 Appendix D: The Wage Agreement.- 7 Summary.- List of Symbols.- List of Figures.- List of Tables.- Bibliography.- Author Index.- Subject Index

Series: Lecture Notes in Economics and Mathematical Systems.VOL. 496

Inkmann, J., University of Konstanz, Germany

Conditional Moment Estimation of Nonlinear Equation Systems
With an Application to an Oligopoly Model of Cooperative R&D

2001. VIII, 214 pp. Softcover
3-540-41207-7


Generalized method of moments (GMM) estimation of nonlinear systems has two important advantages over conventional maximum likelihood (ML) estimation: GMM estimation usually requires less restrictive distributional assumptions and remains computationally attractive when ML estimation becomes burdensome or evenimpossible. This book presents an in-depth treatment of the conditional moment approach to GMM estimation of models frequently encountered in applied microeconometrics. It covers both large sample and small sample properties of conditional moment estimators and provides an application to empirical industrial organization. With its comprehensive and up-to-date coverage of the subject which includes topics like bootstrapping and empirical likelihood techniques, the book addresses scientists, graduate students and professionals in applied econometrics.

Keywords: Conditional Moment Restrictions ; Generalized Method of Moments ( GMM )

Series: Lecture Notes in Economics and Mathematical Systems.VOL. 497

Reutter, M., University of Munich, Germany

A Macroeconomic Model of West German Unemployment
Theory and Evidence

2001. X, 125 pp. 20 figs., 18 tabs. Softcover
3-540-41244-1

The book offers an explanation of unemployment based on a model of wage bargaining between a trade union and an employers' association. The theoretical model emphasizes the importance of distributional fairness in wage negotiations,especially with regard to factor taxation. This is achieved by the application of the proportional solution to the bargaining problem. It is shown, that this solution concept delivers a reasonable model of long run wage determination in which the natural rate of unemployment is independent of productivity growth. Taxes on labour and capital are identified as important determinants of equilibrium employment, the labour tax having a negative, the capital income taxhaving a positive effect. The latter result distinguishes the model from the standard literature. An empirical test using cointegration methods with West German data confirms the theoretical predictions.

Keywords: Unemployment ; Hysteresis ; Trade Unions ; Cointegration

Contents: Introduction.- Econometric Methods.- Cointegration Analysis; Modeling Seasonality; The
Union-Firm Bargain: Bargaining Models; Empirical Tests;The Bargaining Solution: Definitions; The
Allocation Set; The Proportional Solution; Why the Proportional Solution?; An Evaluation of Arguments Against the Proportional Solution; Labour Market Models and Wage Dynamics: An Unified Framework; An Empirical Implication; EmpiricalResults; Conclusions; Appendix; A Model of Involuntary Unemployment: The Firm; The Union; The Bargaining Solution; Bargaining as a Theory of the Long Run; The Econometric Model; Appendix; A Macroeconometric Analysis: The Data; Seasonal Structure; Cointegration Analysis; Discussion; Hysteresis: Hysteresis Models; Relation to Previous Studies;Hysteresis in German Unemployment; Conclusions; Index

Series: Lecture Notes in Economics and Mathematical Systems.VOL. 498

Bottazzini, U., University of Palermo, Italy
Marchisotto, E.A., Northride, CA, USA
Miller, P., Northride, CA, USA

Hilbert's Flute
The History of Modern Mathematics

2001. Approx. 400 Softcover
0-387-98695-2


The history of modern mathematics, from the invention of the calculus to the modern era. Addressed not only to those with some knowledge of mathematics but also to those interested in the history of an important part of modern culture, this book provides an image of the complex development of mathematics from the end of the seventeenth century to the Second World War. The discussions take into account the broader social and political currents that affected the development of mathematics, but give prominence to the development of the ideas of mathematics: the motivations and articulations, the problems and theories that drive the work of mathematicians. The theme of the book comes from Hilbert: "In the history of every
mathematical theory three phases can be clearly identified: the creative, the formal, and ultimately, the critical." Bottazzini thus investigates how the developments of mathematics flow into each other, and how critical assessment of one theory leads to the discovery of connections to other or entirely new theories.

Publication date: October 2001

Doob, J.L., University of Illinois, Urbana, IL, USA

Classical Potential Theory and Its Probabilistic Counterpart

Reprint of the 1st ed. Berlin Heidelberg New York 1984
2000. XXVIII, 846 pp. Softcover
3-540-41206-9

From the reviews: "This huge book written in several years by one of the few mathematicians able to do it, appears as a precise and impressive study (not very easy to read) of this bothsided question that replaces, in a coherent way, without being encyclopaedic, a large library of books and papers scattered without a uniform language. Instead of summarizing the author gives his own way of exposition with original complements. This requires no preliminary knowledge....The purpose which the author explains in his introduction, i.e. a deep probabilistic interpretation of potential theory and a link between two great theories, appears fulfilled in a masterly manner". M. Brelot in Metrika (1986)

Keywords: Potential Theory ; Probabilistic Potential Theory MSC ( 2000 ): 31XX, 60J45

"In the early 1920's, Norbert Wiener wrote significant papers on the Dirichlet problem and on Brownian motion. Since then there has been enormous activity in potential theory and stochastic processes, in which both subjects have reached ahigh degree of polish and their close relation has been discovered. Here is a momumental work by Doob, one of the masters, in which Part 1 develops the potential theory associated with Laplace's equation and the heat equation, and Part 2 develops those parts (martingales and Brownian motion) of stochastic process theory which are closely related to Part 1". G.E.H. Reuter in Short BookReviews (1985)

Contents: From the contents: Introduction.- Notation and Conventions.- Part I Classical and Parabolic Potential Theory: Introduction to the Mathematical Background of Classical Potential Theory; Basic Properties of Harmonic, Subharmonic, and Superharmonic Functions; Infirma of Families of Suerharmonic Functions; Potentials on Special Open sets; Polar sets and Their Applications; The Fundamental Convergence Theorem and the Reduction Operation; Green Functions; The Dirichlet Problem for Relative Harmonic Functions; Lattices and Related Classes of Functions; The Sweeping Operation, The Fine Topology; The Martin Boundary; Classical Energy and Capacity; One-Dimensional Potential Theory.- ....Part II Probabilistic Counterpart of Part I.......- Part III Lattices in Classical Potential Theory and Martingale Theory; Brownian Motion and the PWB Method; Brownian Motion on the Martin Space.- Appendixes.

Series: Classics in Mathematics.

Lyndon, R.C. / Schupp, P.E.
University of Illinois, Urbana, IL, USA

Combinatorial Group Theory

Reprint of the 1st ed. Berlin Heidelberg New York 1977
2000. XVI, 340 pp. 18 figs. Softcover
3-540-41158-5

From the reviews:
"This book (...) defines the boundaries of the subject now called combinatorialgroup theory. (...)it is a considerable achievement to have concentrated a survey of the subject into 339 pages. This includes a substantial and useful bibliography; (over 1100 (items)). ...the book is a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews, AMS, 1979

Keywords: combinatorial groups MSC ( 2000 ): 20Exx, 20Fxx, 20J05, 05E15
Contents:
Chapter I. Free Groups and Their
Chapter II. Generators and RelationsSubgroups
Chapter III. Geometric Methods
Chpter IV. Free Products and HNN Extensions
Chapter V. Small Cancellation Theory
Bibliography
Index of Names
Subject Index

Trott, M., Wolfram Research Inc., Champaign, IL, USA

The Mathematica Guidebook
Graphics

2001. Approx. 1000 pp. 1000 figs., with CD-ROM. Hardcover
0-387-95010-9


This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a de- tailed knowledge of the key aspects needed to create the fa- stest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by in- structive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes -- Programming, Graphics, and Mathematics -- each with a CD, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ refe- rences, and more than 500 exercises. This second volume covers 2 and 3D graphics, providing a detailed treatment of creating images from
graphic primitives such as points, lines, and polygons. It also shows how to graphically display functions that are given either analytically or in discrete form and a number of images from the Mathamatica graphics gallery. The use of Mathematica graphics capabilities provides a very efficient and instructive way to learn how to deal with the structures arising in solving complicated problems.

Contents: Two-dimensional graphics//Three-dimensional graphics//Contour and Density Plots

Publication date: July 2001

Trott, M., Wolfram Research Inc., Champaign, IL, USA

The Mathematica Guidebook
Mathematics and Physics

2001. Approx. 1000 pp. 500 figs., with CD-ROM. Hardcover
0-387-95011-7

This comprehensive, detailed reference provides readers with both a working knowledge of Mathematica in general and a de- tailed knowledge of the key aspects needed to create the fa- stest, shortest, and most elegant implementations possible. It gives users a deeper understanding of Mathematica by in- structive implementations, explanations, and examples from a range of disciplines at varying levels of complexity. The three volumes -- Programming, Graphics, and Mathematics -- each with a CD, total 3,000 pages and contain more than 15,000 Mathematica inputs, over 1,500 graphics, 4,000+ refe- rences, and more than 500 exercises. This third volume covers Mathematica mathematical capabilities, dealing with numerical calculations, symbolic calculations, classical orthogonal polynomials and the special functions of mathematical physics,
with a focus on the use of special functions in a number of physics-related applications in the text as well as in the exercises. An indispensible resource for students, researchers and professionals in mathematics, the sciences, and engineering.

Contents: Numerical Method//Computation with Exact Numbers//Symbolic Computation//The Classical Orthogonal Polynomials//The Classical Special Functions//Appendix

Publication date: August 2001