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Books > Business & Economics > Economics > Econometrics

International Parity Conditions - Theory, Econometric Testing and Empirical Evidence (Hardcover): Razzaque H. Bhatti, Imad A... International Parity Conditions - Theory, Econometric Testing and Empirical Evidence (Hardcover)
Razzaque H. Bhatti, Imad A Moosa
R2,688 Discovery Miles 26 880 Ships in 18 - 22 working days

This book presents an extensive survey of the theory and empirics of international parity conditions which are critical to our understanding of the linkages between world markets and the movement of interest and exchange rates across countries. The book falls into three parts dealing with the theory, methods of econometric testing and existing empirical evidence. Although it is intended to provide a consensus view on the subject, the authors also make some controversial propositions, particularly on the purchasing power parity conditions.

Handbook of Game Theory with Economic Applications, Volume 2 (Hardcover): R J Aumann, S. Hart Handbook of Game Theory with Economic Applications, Volume 2 (Hardcover)
R J Aumann, S. Hart
R2,993 Discovery Miles 29 930 Ships in 10 - 15 working days

This is the second of three volumes surveying the state of the art in Game Theory and its applications to many and varied fields, in particular to economics. The chapters in the present volume are contributed by outstanding authorities, and provide comprehensive coverage and precise statements of the main results in each area. The applications include empirical evidence. The following topics are covered: communication and correlated equilibria, coalitional games and coalition structures, utility and subjective probability, common knowledge, bargaining, zero-sum games, differential games, and applications of game theory to signalling, moral hazard, search, evolutionary biology, international relations, voting procedures, social choice, public economics, politics, and cost allocation. This handbook will be of interest to scholars in economics, political science, psychology, mathematics and biology. For more information on the Handbooks in Economics series, please see our home page on http: //www.elsevier.nl/locate/hes

Handbook of Econometrics, Volume 4 (Hardcover): Robert Engle, Dan McFadden Handbook of Econometrics, Volume 4 (Hardcover)
Robert Engle, Dan McFadden
R2,618 Discovery Miles 26 180 Ships in 10 - 15 working days

Hardbound. This is the fourth volume of the Handbook of Econometrics. The Handbook is a definitive reference source and teaching aid for econometricians. It examines models, estimation theory, data analysis and field applications in econometrics. Comprehensive surveys, written by experts, discuss recent developments at a level suitable for professional use by economists, econometricians, statisticians, and in advanced graduate econometrics courses.

Marshall  Olkin Distributions - Advances in Theory and Applications - Bologna, Italy, October 2013 (Hardcover, 2015 ed.):... Marshall Olkin Distributions - Advances in Theory and Applications - Bologna, Italy, October 2013 (Hardcover, 2015 ed.)
Umberto Cherubini, Fabrizio Durante, Sabrina Mulinacci
R3,161 Discovery Miles 31 610 Ships in 18 - 22 working days

This book presents the latest advances in the theory and practice of Marshall-Olkin distributions. These distributions have been increasingly applied in statistical practice in recent years, as they make it possible to describe interesting features of stochastic models like non-exchangeability, tail dependencies and the presence of a singular component. The book presents cutting-edge contributions in this research area, with a particular emphasis on financial and economic applications. It is recommended for researchers working in applied probability and statistics, as well as for practitioners interested in the use of stochastic models in economics. This volume collects selected contributions from the conference "Marshall-Olkin Distributions: Advances in Theory and Applications," held in Bologna on October 2-3, 2013.

Macroeconometrics - Developments, Tensions, and Prospects (Hardcover, 1995 ed.): Kevin D. Hoover Macroeconometrics - Developments, Tensions, and Prospects (Hardcover, 1995 ed.)
Kevin D. Hoover
R5,463 Discovery Miles 54 630 Ships in 18 - 22 working days

Each chapter of Macroeconometrics is written by respected econometricians in order to provide useful information and perspectives for those who wish to apply econometrics in macroeconomics. The chapters are all written with clear methodological perspectives, making the virtues and limitations of particular econometric approaches accessible to a general readership familiar with applied macroeconomics. The real tensions in macroeconometrics are revealed by the critical comments from different econometricians, having an alternative perspective, which follow each chapter.

An Introduction to Quantitative Finance (Hardcover, New): Stephen Blyth An Introduction to Quantitative Finance (Hardcover, New)
Stephen Blyth
R2,433 Discovery Miles 24 330 Ships in 10 - 15 working days

The worlds of Wall Street and The City have always held a certain allure, but in recent years have left an indelible mark on the wider public consciousness and there has been a need to become more financially literate. The quantitative nature of complex financial transactions makes them a fascinating subject area for mathematicians of all types, whether for general interest or because of the enormous monetary rewards on offer. An Introduction to Quantitative Finance concerns financial derivatives - a derivative being a contract between two entities whose value derives from the price of an underlying financial asset - and the probabilistic tools that were developed to analyse them. The theory in the text is motivated by a desire to provide a suitably rigorous yet accessible foundation to tackle problems the author encountered whilst trading derivatives on Wall Street. The book combines an unusual blend of real-world derivatives trading experience and rigorous academic background. Probability provides the key tools for analysing and valuing derivatives. The price of a derivative is closely linked to the expected value of its pay-out, and suitably scaled derivative prices are martingales, fundamentally important objects in probability theory. The prerequisite for mastering the material is an introductory undergraduate course in probability. The book is otherwise self-contained and in particular requires no additional preparation or exposure to finance. It is suitable for a one-semester course, quickly exposing readers to powerful theory and substantive problems. The book may also appeal to students who have enjoyed probability and have a desire to see how it can be applied. Signposts are given throughout the text to more advanced topics and to different approaches for those looking to take the subject further.

Econophysics Approaches to Large-Scale Business Data and Financial Crisis - Proceedings of Tokyo Tech-Hitotsubashi... Econophysics Approaches to Large-Scale Business Data and Financial Crisis - Proceedings of Tokyo Tech-Hitotsubashi Interdisciplinary Conference + APFA7 (Hardcover, Edition.)
Misako Takayasu, Tsutomu Watanabe, Hideki Takayasu
R4,048 Discovery Miles 40 480 Ships in 18 - 22 working days

In recent years, as part of the increasing "informationization" of industry and the economy, enterprises have been accumulating vast amounts of detailed data such as high-frequency transaction data in nancial markets and point-of-sale information onindividualitems in theretail sector. Similarly,vast amountsof data arenow ava- able on business networks based on inter rm transactions and shareholdings. In the past, these types of information were studied only by economists and management scholars. More recently, however, researchers from other elds, such as physics, mathematics, and information sciences, have become interested in this kind of data and, based on novel empirical approaches to searching for regularities and "laws" akin to those in the natural sciences, have produced intriguing results. This book is the proceedings of the international conference THICCAPFA7 that was titled "New Approaches to the Analysis of Large-Scale Business and E- nomic Data," held in Tokyo, March 1-5, 2009. The letters THIC denote the Tokyo Tech (Tokyo Institute of Technology)-Hitotsubashi Interdisciplinary Conference. The conference series, titled APFA (Applications of Physics in Financial Analysis), focuses on the analysis of large-scale economic data. It has traditionally brought physicists and economists together to exchange viewpoints and experience (APFA1 in Dublin 1999, APFA2 in Liege ` 2000, APFA3 in London 2001, APFA4 in Warsaw 2003, APFA5 in Torino 2006, and APFA6 in Lisbon 2007). The aim of the conf- ence is to establish fundamental analytical techniques and data collection methods, taking into account the results from a variety of academic disciplines.

Studies on the Theory of General Dynamic Economic Equilibrium (Hardcover): Giulio La Volpe, trans Helen Ampt Studies on the Theory of General Dynamic Economic Equilibrium (Hardcover)
Giulio La Volpe, trans Helen Ampt
R2,630 Discovery Miles 26 300 Ships in 18 - 22 working days

This book presents a theory of the general dynamic economic equilibrium which is a development of the static theory of Walras and Pareto. The work has built up an analytical model of the effective, current movement of an economic system, founded on the logic of the individual changing programmes - a basis for finding out the laws of all types of endogenous and exogenous movements of the economy. Indeed, the model can be used in the treatment of the typical problems of dynamic economics, by means of the author's method of variational dynamic analysis.

The Dynamic Systems of Basic Economic Growth Models (Hardcover, 1994 ed.): Bjarne S. Jensen The Dynamic Systems of Basic Economic Growth Models (Hardcover, 1994 ed.)
Bjarne S. Jensen
R2,850 Discovery Miles 28 500 Ships in 18 - 22 working days

Two central problems in the pure theory of economic growth are analysed in this monograph: 1) the dynamic laws governing the economic growth processes, 2) the kinematic and geometric properties of the set of solutions to the dynamic systems. With allegiance to rigor and the emphasis on the theoretical fundamentals of prototype mathematical growth models, the treatise is written in the theorem-proof style. To keep the exposition orderly and as smooth as possible, the economic analysis has been separated from the purely mathematical issues, and hence the monograph is organized in two books. Regarding the scope and content of the two books, an "Introduction and Over view" has been prepared to offer both motivation and a brief account. The introduc tion is especially designed to give a recapitulation of the mathematical theory and results presented in Book II, which are used as the unifying mathematical framework in the analysis and exposition of the different economic growth models in Book I. Economists would probably prefer to go directly to Book I and proceed by consult ing the mathematical theorems of Book II in confirming the economic theorems in Book I. Thereby, both the independence and interdependence of the economic and mathematical argumentations are respected."

Modeling Income Distributions and Lorenz Curves (Hardcover, 2008 ed.): Duangkamon Chotikapanich Modeling Income Distributions and Lorenz Curves (Hardcover, 2008 ed.)
Duangkamon Chotikapanich
R4,052 Discovery Miles 40 520 Ships in 18 - 22 working days

Jean-Jacques Rousseau wrote in the Preface to his famous Discourse on Inequality that "I consider the subject of the following discourse as one of the most interesting questions philosophy can propose, and unhappily for us, one of the most thorny that philosophers can have to solve. For how shall we know the source of inequality between men, if we do not begin by knowing mankind?" (Rousseau, 1754). This citation of Rousseau appears in an article in Spanish where Dagum (2001), in the memory of whom this book is published, also cites Socrates who said that the only useful knowledge is that which makes us better and Seneca who wrote that knowing what a straight line is, is not important if we do not know what rectitude is. These references are indeed a good illustration of Dagum's vast knowledge, which was clearly not limited to the ?eld of Economics. For Camilo the ?rst part of Rousseau's citation certainly justi?ed his interest in the ?eld of inequality which was at the centre of his scienti?c preoccupations. It should however be stressed that for Camilo the second part of the citation represented a "solid argument in favor of giving macroeconomic foundations to microeconomic behavior" (Dagum, 2001). More precisely, "individualism and methodological holism complete each other in contributing to the explanation of individual and social behavior" (Dagum, 2001).

Handbook of U.S. Labor Statistics 2021 - Employment, Earnings, Prices, Productivity, and Other Labor Data (Hardcover, 24th... Handbook of U.S. Labor Statistics 2021 - Employment, Earnings, Prices, Productivity, and Other Labor Data (Hardcover, 24th Edition)
Mary Meghan Ryan
R5,202 Discovery Miles 52 020 Ships in 18 - 22 working days

The Handbook of U.S. Labor Statistics is recognized as an authoritative resource on the U.S. labor force. It continues and enhances the Bureau of Labor Statistics's (BLS) discontinued publication, Labor Statistics. It allows the user to understand recent developments as well as to compare today's economy with past history. The 24th edition includes the new employment projections from 2019 to 2029. New projections are only released every two years. The Handbook is a comprehensive reference providing an abundance of data on a variety of topics including: Employment and unemployment; Earnings; Prices; Productivity; Consumer expenditures; Occupational safety and health; Union membership; Working poor Recent trends in the labor force And much more! Features of the publication In addition to over 215 tables that present practical data, the Handbook provides: Introductory material for each chapter that contains highlights of salient data and figures that call attention to noteworthy trends in the data Notes and definitions, which contain concise descriptions of the data sources, concepts, definitions, and methodology from which the data are derived References to more comprehensive reports which provide additional data and more extensive descriptions of estimation methods, sampling, and reliability measures

Nonlinear Time Series Analysis of Economic and Financial Data (Hardcover, 1999 ed.): Philip Rothman Nonlinear Time Series Analysis of Economic and Financial Data (Hardcover, 1999 ed.)
Philip Rothman
R7,843 Discovery Miles 78 430 Ships in 18 - 22 working days

Nonlinear Time Series Analysis of Economic and Financial Data provides an examination of the flourishing interest that has developed in this area over the past decade. The constant theme throughout this work is that standard linear time series tools leave unexamined and unexploited economically significant features in frequently used data sets. The book comprises original contributions written by specialists in the field, and offers a combination of both applied and methodological papers. It will be useful to both seasoned veterans of nonlinear time series analysis and those searching for an informative panoramic look at front-line developments in the area.

Stochastic Differential Games. Theory and Applications (Hardcover, 2012): Kandethody M. Ramachandran, Chris P Tsokos Stochastic Differential Games. Theory and Applications (Hardcover, 2012)
Kandethody M. Ramachandran, Chris P Tsokos
R1,427 Discovery Miles 14 270 Ships in 18 - 22 working days

The subject theory is important in finance, economics, investment strategies, health sciences, environment, industrial engineering, etc.

Modern Linear and Nonlinear Econometrics (Hardcover, 1st ed. 2006. Corr. 2nd printing 2006): Joseph Plasmans Modern Linear and Nonlinear Econometrics (Hardcover, 1st ed. 2006. Corr. 2nd printing 2006)
Joseph Plasmans
R4,228 Discovery Miles 42 280 Ships in 18 - 22 working days

The basic characteristic of Modern Linear and Nonlinear Econometrics is that it presents a unified approach of modern linear and nonlinear econometrics in a concise and intuitive way. It covers four major parts of modern econometrics: linear and nonlinear estimation and testing, time series analysis, models with categorical and limited dependent variables, and, finally, a thorough analysis of linear and nonlinear panel data modeling. Distinctive features of this handbook are:

-A unified approach of both linear and nonlinear econometrics, with an integration of the theory and the practice in modern econometrics. Emphasis on sound theoretical and empirical relevance and intuition. Focus on econometric and statistical methods for the analysis of linear and nonlinear processes in economics and finance, including computational methods and numerical tools.

-Completely worked out empirical illustrations are provided throughout, the macroeconomic and microeconomic (household and firm level) data sets of which are available from the internet; these empirical illustrations are taken from finance (e.g. CAPM and derivatives), international economics (e.g. exchange rates), innovation economics (e.g. patenting), business cycle analysis, monetary economics, housing economics, labor and educational economics (e.g. demand for teachers according to gender) and many others.

-Exercises are added to the chapters, with a focus on the interpretation of results; several of these exercises involve the use of actual data that are typical for current empirical work and that are made available on the internet.

What is also distinguishable in Modern Linear and Nonlinear Econometrics is that everymajor topic has a number of examples, exercises or case studies. By this learning by doing' method the intention is to prepare the reader to be able to design, develop and successfully finish his or her own research and/or solve real world problems.

Economic and Management Perspectives on Intellectual Property Rights (Hardcover, 2006 ed.): C. Peeters, B. Van Pottelsberghe De... Economic and Management Perspectives on Intellectual Property Rights (Hardcover, 2006 ed.)
C. Peeters, B. Van Pottelsberghe De La Potterie, Bruno Van Pottelsberghe De La Potterie
R2,663 Discovery Miles 26 630 Ships in 18 - 22 working days

This book provides a better understanding of how intellectual property can improve economic and business performance. It focuses on three particular issues: the valuation of patents, the transfer of knowledge, and the management of innovation and intellectual property. Scholars from leading worldwide institutions use quantitative methods and advanced survey techniques to explore the complex relationship between patents, innovation, venture capital and scientific research. The book focuses on three broad issues: the valuation of patents, the transfer of knowledge, and the management of innovation and intellectual property.

Exploring Research Frontiers in Contemporary Statistics and Econometrics - A Festschrift for Leopold Simar (Hardcover, 2012):... Exploring Research Frontiers in Contemporary Statistics and Econometrics - A Festschrift for Leopold Simar (Hardcover, 2012)
Ingrid van Keilegom, Paul W. Wilson
R1,433 Discovery Miles 14 330 Ships in 18 - 22 working days

This book collects contributions written by well-known statisticians and econometricians to acknowledge Leopold Simar s far-reaching scientific impact on Statistics and Econometrics throughout his career. The papers contained herein were presented at a conference in
Louvain-la-Neuve in May 2009 in honor of his retirement. The contributions cover a broad variety of issues surrounding frontier
estimation, which Leopold Simar has contributed much to over the past two decades, as well as related issues such as semiparametric regression and models for censored data.

This book collects contributions written by well-known statisticians and econometricians to acknowledge Leopold Simar s far-reaching scientific impact on Statistics and Econometrics throughout his career. The papers contained herein were presented at a conference in
Louvain-la-Neuve in May 2009 in honor of his retirement. The contributions cover a broad variety of issues surrounding frontier
estimation, which Leopold Simar has contributed much to over the past two decades, as well as related issues such as semiparametric regression and models for censored data.

Advances in Econometrics and Modelling (Hardcover, 1989 ed.): B. Raj Advances in Econometrics and Modelling (Hardcover, 1989 ed.)
B. Raj
R2,972 Discovery Miles 29 720 Ships in 18 - 22 working days

During 1985-86, the acquisition editor for the humanities and social sciences division of Kluwer Academic Publishers in the Netherlands visited the University of Horida (where I was also visiting while on sabbatical leave from Wilfrid Laurier University as the McKethan-Matherly Senior Research Fellow) to discuss publishing plans of the faculty. He expressed a keen interest in publishing the proceedings of the conference of the Canadian Econometric Study Group (CESG) that was to be held the following year at WLU. This volume is the end product of his interest, endurance, and persistence. But for his persistence I would have given up on th~ project Most of the papers (though not all) included in this volume are based on presentations at CESG conferences. In some cases scholars were invited to contribute to this volume where their research complimented those presented at these conferences even though they were not conference participants. Since papers selected for presentation at the CESG conferences are generally the finished product of scholarly research and often under submission to refereed journals, it was not possible to publish the conference proceedings in their entirety. Accordingly it was decided, in consultation with the publisher, to invite a select list of authors to submit significant extensions of the papers they presented at the CESG conferences for inclusion in this volume. The editor wishes to express gratitude to all those authors who submitted their papers for evaluation by anonymous referees and for making revisions to conform to our editorial process.

Stable and Efficient Cubature-based Filtering in Dynamical Systems (Hardcover, 1st ed. 2017): Dominik Ballreich Stable and Efficient Cubature-based Filtering in Dynamical Systems (Hardcover, 1st ed. 2017)
Dominik Ballreich
R2,317 R1,821 Discovery Miles 18 210 Save R496 (21%) Ships in 10 - 15 working days

The book addresses the problem of calculation of d-dimensional integrals (conditional expectations) in filter problems. It develops new methods of deterministic numerical integration, which can be used to speed up and stabilize filter algorithms. With the help of these methods, better estimates and predictions of latent variables are made possible in the fields of economics, engineering and physics. The resulting procedures are tested within four detailed simulation studies.

Regional Science Perspectives in Economic Analysis - A Festschrift in Memory of Benjamin H. Stevens (Hardcover, 1st ed): M.L.... Regional Science Perspectives in Economic Analysis - A Festschrift in Memory of Benjamin H. Stevens (Hardcover, 1st ed)
M.L. Lahr, R.E. Miller
R4,315 Discovery Miles 43 150 Ships in 10 - 15 working days

This book contains contributions from friends of Ben Stevens, remembering and celebrating his life and his work. Following his untimely death, a set of special sessions were organized for the program of the November 1998 meetings of the Regional Science Association International, held in Sante Fe, New Mexico.


In all 41 papers were presented in 11 of these sessions. Those invited to participate included former colleagues and students from Ben's days on the faculty at the University of Pennsylvania as well as friends and collaborators from the economics and regional science community at large - academic, private and government.


It is the intention of the editors to make available with this book a selection of current work in regional economics and regional science. Some of the papers reflect on aspects of Ben's legacy, suggesting how his early work (in the 1960s) served as a basis for subsequent theoretical advances or applied developments - for example, in residential choice theory, in land-use and transportation modeling and in regional econometric modeling in general and regional input-output analysis in particular (which remained one of Ben's primary interests throughout his life). The variety of topics covered by the papers in this volume is a testament to the breadth and depth of Ben's active curiosity.

Economics, Econometrics and the LINK - Essays in Honor of Lawrence R. Klein (Hardcover): Manoranjan Dutta Economics, Econometrics and the LINK - Essays in Honor of Lawrence R. Klein (Hardcover)
Manoranjan Dutta
R4,473 Discovery Miles 44 730 Ships in 10 - 15 working days

"Economics, Econometrics and The LINK" is a collection of scholarly contributions by leading scholars from the U.S., Europe, and Asia dealing with issues of economics and econometrics. The book contains a learned and erudite exposition of macroeconomics and macroeconomic modeling including national, sectoral, issues exchange rate, environment, international price competitiveness and international linkages. It presents a comprehensive perspective of econometric modeling - country-specific, sector-specific and issue-specific. The volume is a tribute to the work of Lawrence R. Klein from all his friends who share a common agenda, viz. to relate the study of economics to the studies of mankind.

Technology, Innovations and Growth (Hardcover): J.K. Sengupta Technology, Innovations and Growth (Hardcover)
J.K. Sengupta
R1,396 Discovery Miles 13 960 Ships in 18 - 22 working days

This book provides detailed empirical analysis of countries in Asia to examine various dynamic models that incorporate the impact of technology and innovations on the industry evolution and overall economic growth.

The USA and Canada 2018 (Hardcover, 20th edition): Europa Publications The USA and Canada 2018 (Hardcover, 20th edition)
Europa Publications
R17,279 Discovery Miles 172 790 Ships in 10 - 15 working days

Combining impartial analysis with reliable facts and figures, this fully revised and updated 20th edition provides up-to-date commentary on these vast North American nations. General Survey Essays by leading experts analyse topics of regional importance, including: - US-Canadian integration, immigration, and the treatment of Indigenous peoples in North America. Country Surveys Each country is dealt with in greater detail within its own section. Country chapters include: - a chronology of political events - essays covering key socio-political and economic themes, including: recent political developments; foreign policy; constitution; the economy; energy policy; agriculture; trade; health and social policy - additional essays examining timely subjects such as US-Chinese economic competition, religion in US politics and the US Judicial system - historical, political and economic surveys of each of the US states and Canadian provinces and territories - statistical surveys of economic and demographic indicators - comprehensive directory sections covering public affairs, the economy and society, which provide contact details and other useful information for the most significant institutions in the region.

A Primer for Spatial Econometrics - With Applications in R (Hardcover): G. Arbia A Primer for Spatial Econometrics - With Applications in R (Hardcover)
G. Arbia
R4,252 Discovery Miles 42 520 Ships in 10 - 15 working days

This book aims at meeting the growing demand in the field by introducing the basic spatial econometrics methodologies to a wide variety of researchers. It provides a practical guide that illustrates the potential of spatial econometric modelling, discusses problems and solutions and interprets empirical results.

Maximum Simulated Likelihood Methods and Applications (Hardcover): William Greene, R. Carter Hill Maximum Simulated Likelihood Methods and Applications (Hardcover)
William Greene, R. Carter Hill; Series edited by Carter Hill, Tom Fomby
R3,938 Discovery Miles 39 380 Ships in 10 - 15 working days

This volume is a collection of methodological developments and applications of simulation-based methods that were presented at a workshop at Louisiana State University in November, 2009. The first two papers are extensions of the GHK simulator: one reconsiders the computation of the probabilities in a discrete choice model while another example uses an adaptive version of sparse-grids integration (SGI) instead of simulation. Two studies are focused specifically on the methodology: the first compares the performance of the maximum-simulated likelihood (MSL) approach with a proposed composite marginal likelihood (CML) approach in multivariate ordered-response situations, while the second examines methods of testing for the presence of heterogeneity in the heterogeneity model. Further topics examined include: education savings accounts, parent contributions and education attainment; estimating the effect of exchange rate flexibility on financial account openness; estimating a fractional response model with a count endogenous regressor; and modelling and forecasting volatility in a bayesian approach.

The Peace Dividend (Hardcover): N.P. Gleditsch, O Bjerkholt, A. Cappelen, R. Smith, J.P. Dunne The Peace Dividend (Hardcover)
N.P. Gleditsch, O Bjerkholt, A. Cappelen, R. Smith, J.P. Dunne
R5,166 Discovery Miles 51 660 Ships in 10 - 15 working days

The papers collected in this volume demonstrate how different kinds of analytical approach can be used to anticipate the economic repercussions of systematic reduction of military spending. This volume will be of interest to economists; scholars in peace studies, international relations and such like; and officials of national governments and international bodies dealing with disarmament issues and with economic restructuring.

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