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

The Handbook of Mathematical Economics aims to provide a definitive source, reference, and teaching supplement for the field of mathematical economics. It surveys, as of the late 1970's the state of the art of mathematical economics. This is a constantly developing field and all authors were invited to review and to appraise the current status and recent developments in their presentations. In addition to its use as a reference, it is intended that this Handbook will assist researchers and students working in one branch of mathematical economics to become acquainted with other branches of this field. The emphasis of this fourth volume of the Handbook of Mathematical Economics is on choice under uncertainty, general equilibrium analysis under conditions of uncertainty, economies with an infinite number of consumers or commodities, and dynamical systems. The book thus reflects some of the ideas that have been most influential in mathematical economics since the appearance of the first three volumes of the Handbook.

Researchers, students, economists and mathematicians will all find this Handbook to be an indispensable reference source. It surveys the entire field of mathematical economics, critically reviewing recent developments. The chapters (which can be read independently) are written at an advanced level suitable for professional, teaching and graduate-level use.

For more information on the Handbooks in Economics series, please see our home page on http: //www.elsevier.nl/locate/hes

The analysis ofwhat might be called "dynamic nonlinearity" in time series has its roots in the pioneering work ofBrillinger (1965) - who first pointed out how the bispectrum and higher order polyspectra could, in principle, be used to test for nonlinear serial dependence - and in Subba Rao and Gabr (1980) and Hinich (1982) who each showed how Brillinger's insight could be translated into a statistical test. Hinich's test, because ittakes advantage ofthe large sample statisticalpropertiesofthe bispectral estimates became the first usable statistical test for nonlinear serial dependence. We are forever grateful to Mel Hinich for getting us involved at that time in this fascinating and fruitful endeavor. With help from Mel (sometimes as amentor, sometimes as acollaborator) we developed and applied this bispectral test in the ensuing period. The first application ofthe test was to daily stock returns {Hinich and Patterson (1982, 1985)} yielding the important discovery of substantial nonlinear serial dependence in returns, over and above the weak linear serial dependence that had been previously observed. The original manuscript met with resistance from finance journals, no doubt because finance academics were reluctant to recognize the importance of distinguishing between serial correlation and nonlinear serial dependence. In Ashley, Patterson and Hinich (1986) we examined the power and sizeofthe test in finite samples.

This book is a macro-study of Indian business communities in Singapore through different phases of their growth since colonial times. It goes beyond the conventional labour-history approach to study Indian immigrants to Southeast Asia, both in terms of themselves and their connections with the peoples' movements. It looks at how Indian business communities negotiated with others in the environments in which they found themselves and adapted to them in novel ways. It especially brings into focus the patterns and integration of the Indian networks in the large-scale transnational flows of capital, one of the least-studied aspects of the diaspora history in this part of the world. The complexities and overlapping interests of different groups of traders and businessmen form an interesting study of various aspects of these trading bodies, their methods of operation and their trade links, both within and outside Singapore. The book also charts their mobility and progress, in terms of both business and social status. The research aims to construct linear threads of linkages through generations and situate them in the larger framework and broader paradigms of business networks in Singapore. In shedding light on aspects of Indian connectivities to Southeast Asia, the narrative is particularly relevant in the context of India's economic rise. This study raises economic, social and cultural issues regarding the transition.

This contribution applies the cointegrated vector autoregressive (CVAR) model to analyze the long-run behavior and short-run dynamics of stock markets across five developed and three emerging economies. The main objective is to check whether liquidity conditions play an important role in stock market developments. As an innovation, liquidity conditions enter the analysis from three angles: in the form of a broad monetary aggregate, the interbank overnight rate and net capital flows, which represent the share of global liquidity that arrives in the respective country. A second aim is to understand whether central banks are able to influence the stock market.

In March 1998 professional colleagues and students of T.N. Srinivasan joined together at the Festschrift Conference at Yale to honor his work. The book contains nineteen of the contributions which were presented, reflecting the four closely related dimensions of trade and development.

Part I deals with the various dimensions of the issue of growth with particular emphasis on technology choice as well as saving and fertility behavior in Ramsey-type models. Part II moves into the more applied issues of International trade, including the impact of North-South trade on Northern wages, the reasons for the failure of pegged exchange rates in the South, as well as the pros and cons of regional vs. multilateral trading arrangements. Part III presents a variety of theoretical and applied approaches to analyze Indian planning and development experience. The final section, Part IV, addresses the general topic of market failures and economic structure.

This book contains papers by an array of eminent economists and contains a good blend of theory and applied work. Professional economists, policy makers in developing and donor countries and personnel of international organizations will find this a useful tool.

This book provides a synthesis of some recent issues and an up-to-date treatment of some of the major important issues in distributional analysis that I have covered in my previous book Ethical Social Index Numbers, which was widely accepted by students, teachers, researchers and practitioners in the area. Wide coverage of on-going and advanced topics and their analytical, articulate and authoritative p- sentation make the book theoretically and methodologically quite contemporary and inclusive, and highly responsive to the practical problems of recent concern. Since many countries of the world are still characterized by high levels of income inequality, Chap. 1 analyzes the problems of income inequality measurement in detail. Poverty alleviation is an overriding goal of development and social policy. To formulate antipoverty policies, research on poverty has mostly focused on inco- based indices. In view of this, a substantive analysis of income-based poverty has been presented in Chap. 2. The subject of Chap. 3 is people's perception about income inequality in terms of deprivation. Since polarization is of current concern to analysts and social decisi- makers, a discussion on polarization is presented in Chap. 4.

The field of Computational Economics is a fast growing area. Due to the limitations in analytical modeling, more and more researchers apply numerical methods as a means of problem solving. In tum these quantitative results can be used to make qualitative statements. This volume of the Advanced Series in Theoretical and Applied and Econometrics comprises a selected number of papers in the field of computational economics presented at the Annual Meeting of the Society Economic Dynamics and Control held in Minneapolis, June 1990. The volume covers ten papers dealing with computational issues in Econo metrics, Economics and Optimization. The first five papers in these proceedings are dedicated to numerical issues in econometric estimation. The following three papers are concerned with computational issues in model solving and optimization. The last two papers highlight some numerical techniques for solving micro models. We are sure that Computational Economics will become an important new trend in Economics in the coming decade. Hopefully this volume can be one of the first contributions highlighting this new trend. The Editors H.M. Amman et a1. (eds), Computational Economics and Econometrics, vii. (c) 1992 Kluwer Academic Publishers. PART ONE ECONOMETRICS LIKELIHOOD EVALUATION FOR DYNAMIC LATENT VARIABLES 1 MODELS DAVID F. HENDRY Nuffield College, Oxford, U.K. and JEAN-FRANc;mS RICHARD ISDS, Pittsburgh University, Pittsburgh, PA, U.S.A."

This conference brought together an international group of fisheries economists from academia, business, government, and inter-governmentalagencies, to consider a coordinated project to build an econometric model of the world trade in groundfish. A number of the conference participants had just spent up to six weeks at Memorial University of Newfoundland working and preparing papers on the project. This volume presents the papers that these scholars produced, plus additional papers prepared by other conference participants. In addition, various lectures and discussionswhich were transcribed from tapes made of the proceedings are included. The introductory essay explains the genesis of the conference, describes the approach taken to modelling the groundfish trade, very briefly summarizes the technical papers, and describes future plans. The project is continuing as planned, and a second conference was held in St. John's in August 1990. The conference was a NATO Advanced Research Workshop and we wish to thank the ScientificAffairs Division ofNATO for their financial support. Additional financial support was received from the Canadian Centre for Fisheries Innovation in St. John's, the Department of Fisheries and Oceans of the Government of Canada, the Department of Fisheries of the Government of Newfoundland and Labrador, Memorial University of Newfoundland and Air Nova; we acknowledge with appreciation their help.

Economic theory defines and constrains admissible functional form and functional structure throughout the economy. Constraints on behavioral functions of individual economic agents and on the recursive nesting of those behavioral functions often are derived directly from economic theory. Theoretically implied constraints on the properties of equilibrium stochastic solution paths also are common, although are less directly derived. In both cases, the restrictions on relevant function spaces have implications for econometric modeling and for the choice of hypotheses to be tested and potentially imposed. This book contains state-of-the-art cumulative research and results on functional structure, approximation, and estimation: for (1) individual economic agents, (2) aggregation over those agents, and (3) equilibrium solution stochastic processes.

A: Functional Structure Modeling, Aggregation, and Estimation.

Over the past 25 years, William Barnett, who is a coeditor of this volume, has advanced the state of the art of this subject in many directions. He has contributed many new modeling and inference approaches, such as the Laurent series flexible functional form approach, the Mntz-Szatz series seminonparametric approach, the generalized hypocycloidal utility tree approach, and an aggregated convergence approach within the space of stochastic differential equations. Many of Barnett's innovations contain the earlier Taylor series and CES approaches as nested special cases. He also has contributed extensively to the literature on aggregation over approximating specifications in econometrics, as well as to aggregation over economic agents and goods in economic theory. Inaddition, his work in those areas has motivated new approaches by others, such as the generalized symmetric Barnett approach originated by Diewert and Wales (1987).

Part 1 of this book contains Barnett's contributions to functional structure modeling and estimation for consumers, while Part 2 contains his contributions on those subjects for firms.

B: Statistical Theory.
Barnett's contributions to statistical theory provide much of the asymptotic statistical theory needed to apply econometric inference procedures to the literature on economic functional structure and approximation. His contributions to the relevant statistical theory include discovery of the measure theoretic foundations for confidence regions in sampling theoretic statistics and the derivation of the asymptotic theory for joint maximum likelihood inference with closed-form systemwide models. He originated a multivariate extension of the Kolmogorov-Smirnov test to permit testing the disturbances of an equation system for multivariate normality.

Part 3 contains relevant results in statistical theory.

C: Nonlinear Time Series.
Analogous approximation and function space problems arise in time series approaches. A Volterra expansion in the time domain with a finite number of terms cannot span the space of possible time-series solution processes from the state space structures of economic theory. Hence when sample size is finite, all structural and time-series approximating specifications, whether dynamic or static, drive an unavoidable wedge between econometrics and economic theory. No easy solution exists to this inherently deep problem in econometric modeling and testing.

Inthe time series literature, Barnett has designed and run a competition among tests for nonlinear and chaotic structure. The purpose was to investigate paradoxes that arose in that literature following his publication of findings of nonlinearity and chaos in some economic time series. The literature on modeling and filtering out linear structure from time series is now highly advanced. But many unsolved problems remain in the literature on modeling or filtering out various forms of nonlinear structure from time series. The results of Barnett's competition have cast much needed light on those problems and the relative properties of the various available competing approaches.

Contributions to time series modeling and inference in the time domain and the frequency domain are provided in Part 4.

Increasing concerns regarding the world's natural resources and sustainability continue to be a major issue for global development. As a result several political initiatives and strategies for green or resource-efficient growth both on national and international levels have been proposed. A core element of these initiatives is the promotion of an increase of resource or material productivity. This dissertation examines material productivity developments in the OECD and BRICS countries between 1980 and 2008. By applying the concept of convergence stemming from economic growth theory to material productivity the analysis provides insights into both aspects: material productivity developments in general as well potentials for accelerated improvements in material productivity which consequently may allow a reduction of material use globally. The results of the convergence analysis underline the importance of policy-making with regard to technology and innovation policy enabling the production of resource-efficient products and services as well as technology transfer and diffusion.

Nonlinear modelling has become increasingly important and widely used in economics. This valuable book brings together recent advances in the area including contributions covering cross-sectional studies of income distribution and discrete choice models, time series models of exchange rate dynamics and jump processes, and artificial neural network and genetic algorithm models of financial markets. Attention is given to the development of theoretical models as well as estimation and testing methods with a wide range of applications in micro and macroeconomics, labour and finance. The book provides valuable introductory material that is accessible to students and scholars interested in this exciting research area, as well as presenting the results of new and original research. Nonlinear Economic Models provides a sequel to Chaos and Nonlinear Models in Economics by the same editors.

New Perspectives in Econometric Theory comprises specially selected papers by Halbert White which reflect his research in a variety of related areas in econometrics: heteroskedasticity of unknown form; nonlinear and nonparametric regression; instrumental variables and generalized method of moments estimation; and measurability and limit theory. In many instances, results from one paper provide the foundation for, or suggest new directions for, research taken up by others in the collection. The intent of collecting these papers together in the present volume, with new commentaries by the author, is to provide access both to a modern unified perspective for econometric theory and to a set of concepts and tools that will be useful to practitioners in the field. As a companion to the first volume entitled Advances in Econometric Theory, this latest selection of Halbert White's work will appeal to academics and researchers in econometrics and economic theory.

The book develops the capabilities arising from the cooperation between mathematicians and statisticians working in insurance and finance fields. It gathers some of the papers presented at the conference MAF2010, held in Ravello (Amalfi coast), and successively, after a reviewing process, worked out to this aim.

This book provides an introductory treatment of time series econometrics, a subject that is of key importance to both students and practitioners of economics. It contains material that any serious student of economics and finance should be acquainted with if they are seeking to gain an understanding of a real functioning economy.

Are foreign exchange markets efficient? Are fundamentals important for predicting exchange rate movements? What is the signal-to-ratio of high frequency exchange rate changes? Is it possible to define a measure of the equilibrium exchange rate that is useful from an assessment perspective? The book is a selective survey of current thinking on key topics in exchange rate economics, supplemented throughout by new empirical evidence. The focus is on the use of advanced econometric tools to find answers to these and other questions which are important to practitioners, policy-makers and academic economists. In addition, the book addresses more technical econometric considerations such as the importance of the choice between single-equation and system-wide approaches to modelling the exchange rate, and the reduced form versus structural equation problems. Readers will gain both a comprehensive overview of the way macroeconomists approach exchange rate modelling, and an understanding of how advanced techniques can help them explain and predict the behavior of this crucial economic variable.

Palgrave Handbook of Econometrics comprises 'landmark' essays by the world's leading scholars and provides authoritative and definitive guidance in key areas of econometrics. With definitive contributions on the subject, the Handbook is an essential source of reference for professional econometricians, economists, researchers and students. Volume I covers developments in theoretical econometrics, including essays on the methodology and history of econometrics, developments in time-series and cross-section econometrics, modelling with integrated variables, Bayesian econometrics, simulation methods and a selection of special topics.

The "Contributions to Economic Analysis" series consists of a number of previously unpublished studies. The term economic analysis is used because it covers the activities of the theoretical economist and the research worker.

This volume is centered around the issue of market design and resulting market dynamics. The economic crisis of 2007-2009 has once again highlighted the importance of a proper design of market protocols and institutional details for economic dynamics and macroeconomics. Papers in this volume capture institutional details of particular markets, behavioral details of agents' decision making as well as spillovers between markets and effects to the macroeconomy. Computational methods are used to replicate and understand market dynamics emerging from interaction of heterogeneous agents, and to develop models that have predictive power for complex market dynamics. Finally treatments of overlapping generations models and differential games with heterogeneous actors are provided.

This guide is for practicing statisticians and data scientists who use IBM SPSS for statistical analysis of big data in business and finance. This is the first of a two-part guide to SPSS for Windows, introducing data entry into SPSS, along with elementary statistical and graphical methods for summarizing and presenting data. Part I also covers the rudiments of hypothesis testing and business forecasting while Part II will present multivariate statistical methods, more advanced forecasting methods, and multivariate methods. IBM SPSS Statistics offers a powerful set of statistical and information analysis systems that run on a wide variety of personal computers. The software is built around routines that have been developed, tested, and widely used for more than 20 years. As such, IBM SPSS Statistics is extensively used in industry, commerce, banking, local and national governments, and education. Just a small subset of users of the package include the major clearing banks, the BBC, British Gas, British Airways, British Telecom, the Consumer Association, Eurotunnel, GSK, TfL, the NHS, Shell, Unilever, and W.H.S. Although the emphasis in this guide is on applications of IBM SPSS Statistics, there is a need for users to be aware of the statistical assumptions and rationales underpinning correct and meaningful application of the techniques available in the package; therefore, such assumptions are discussed, and methods of assessing their validity are described. Also presented is the logic underlying the computation of the more commonly used test statistics in the area of hypothesis testing. Mathematical background is kept to a minimum.

The book discusses the mechanisms by which securities are traded, as well as examining economic models of asymmetric information, inventory control, and cost-minimizing trading strategies.

Figure 1. 1. Map of Great Britain at two different scale levels. (a) Counties, (b)Regions. '-. " Figure 1. 2. Two alternative aggregations of the Italian provincie in 32 larger areas 4 CHAPTER 1 d . , b) Figure 1. 3 Percentage of votes of the Communist Party in the 1987 Italian political elections (a) and percentage of population over 75 years (b) in 1981 Italian Census in 32 polling districts. The polling districts with values above the average are shaded. Figure 1. 4: First order neighbours (a) and second order neighbours (b) of a reference area. INTRODUCTION 5 While there are several other problems relating to the analysis of areal data, the problem of estimating a spatial correlO!J'am merits special attention. The concept of the correlogram has been borrowed in the spatial literature from the time series analysis. Figure l. 4. a shows the first-order neighbours of a reference area, while Figure 1. 4. b displays the second-order neighbours of the same area. Higher-order neighbours can be defined in a similar fashion. While it is clear that the dependence is strongest between immediate neighbouring areas a certain degree of dependence may be present among higher-order neighbours. This has been shown to be an alternative way of look ing at the sca le problem (Cliff and Ord, 1981, p. l 23). However, unlike the case of a time series where each observation depends only on past observations, here dependence extends in all directions.

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. For more information on the Handbooks in Economics series, please see our home page on http: //www.elsevier.nl/locate/hes

A non-technical introduction to the question of modeling with time-varying parameters, using the beta coefficient from Financial Economics as the main example. After a brief introduction to this coefficient for those not versed in finance, the book presents a number of rather well known tests for constant coefficients and then performs these tests on data from the Stockholm Exchange. The Kalman filter is then introduced and a simple example is used to demonstrate the power of the filter. The filter is then used to estimate the market model with time-varying betas. The book concludes with further examples of how the Kalman filter may be used in estimation models used in analyzing other aspects of finance. Since both the programs and the data used in the book are available for downloading, the book is especially valuable for students and other researchers interested in learning the art of modeling with time varying coefficients.

A lot of economic problems can be formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who are seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking effective mathematical tools for their research.