This book presents a variety of computational methods used to solve dynamic problems in economics and finance. It emphasizes practical numerical methods rather than mathematical proofs and focuses on techniques that apply directly to economic analyses. The examples are drawn from a wide range of subspecialties of economics and finance, with particular emphasis on problems in agricultural and resource economics, macroeconomics, and finance. The book also provides an extensive Web-site library of computer utilities and demonstration programs.The book is divided into two parts. The first part develops basic numerical methods, including linear and nonlinear equation methods, complementarity methods, finite-dimensional optimization, numerical integration and differentiation, and function approximation. The second part presents methods for solving dynamic stochastic models in economics and finance, including dynamic programming, rational expectations, and arbitrage pricing models in discrete and continuous time. The book uses MATLAB to illustrate the algorithms and includes a utilities toolbox to help readers develop their own computational economics applications.
This is the third and last volume of Martin Shubik's exposition of his vision of "mathematical institutional economics"—a term he coined in 1959 to describe the theoretical underpinnings needed for the construction of an economic dynamics. The goal is to develop a process-oriented theory of money and financial institutions that reconciles micro- and macroeconomics, using strategic market games and other game-theoretic methods.
There is as yet no general dynamic counterpart to the elegant and mathematically well-developed static theory of general equilibrium. Shubik's paradigm serves as an intermediate step between general equilibrium and full dynamics. General equilibrium provides valuable insights on relationships in a closed, friction-free economic structure. Shubik aims to open up this limited structure to the rich environment of sociopolitical economy without dispensing with conceptual continuity.
Volume 1 of this work deals with a one-period approach to economic exchange with money, debt, and bankruptcy. Volume 2 explores the new economic features that arise when we consider multiperiod finite- and infinite-horizon economies. Volume 3 considers the specific roles of financial institutions and government, aiming to provide the link between the abstract study of invariant economic and financial functions and the ever-changing institutions that provide these functions. The concept of minimal financial institutions is stressed as a means to connect function with form in a parsimonious manner.
The explanatory power of economic theory is tested by the phenomenon of irrational consumption, examples of which include such addictive behaviors as disordered and pathological gambling. Midbrain Mutiny examines different economic models of disordered gambling, using the frameworks of neuroeconomics (which analyzes decision making in the brain) and picoeconomics (which analyzes patterns of consumption behavior), and drawing on empirical evidence about behavior and the brain.
The book describes addiction in neuroeconomic terms as chronic disruption of the balance between the midbrain dopamine system and the prefrontal and frontal serotonergic system, and reviews recent evidence from trials testing the effectiveness of antiaddiction drugs. The authors argue that the best way to understand disordered and addictive gambling is with a hybrid picoeconomic-neuroeconomic model.
Empirical literature in disciplines ranging from behavioral genetics to economics shows that in virtually every aspect of life the outcomes of children are correlated to a greater or lesser extent with the outcomes of their parents and their siblings. In Heredity, Family, and Inequality, the economist Michael Beenstock offers theoretical, statistical, and methodological tools for understanding these correlations. Beenstock presents a comprehensive survey of intergenerational and sibling correlations for a broad range of outcomes--including fertility and longevity, intelligence and education, income and consumption, and deviancy and religiosity. He then offers a critique of the sometimes conflicting explanations for these correlations proposed by social scientists from such disciplines as developmental psychology, sociology, and economics.
Beenstock also provides an axiomatic framework for thinking about the complex interplay of heredity, family, and environments, drawing on game theory, control theory, and econometrics. Chapters 1-7 discuss such topics as the important contributions of Francis Galton (1822–1911) to the statistical study of heredity, the family as an engine of inequality and diversity, and natural experiments designed to identify how environments, families, peer groups, and neighborhoods affect human outcomes. Chapters 8-10 present technical material on statistical, theoretical, and methodological tools used by the earlier chapters.
Beenstock’s goal is not to argue for either nature or nurture but to suggest more rigorous ways to assess the diverse contributions to this lively debate.
This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume. Technically rigorous and largely self-contained, it provides an introduction to the use of optimal control theory for deterministic continuous-time systems in economics. The theory of ordinary differential equations (ODEs) is the backbone of the theory developed in the book, and chapter 2 offers a detailed review of basic concepts in the theory of ODEs, including the solution of systems of linear ODEs, state-space analysis, potential functions, and stability analysis. Following this, the book covers the main results of optimal control theory, in particular necessary and sufficient optimality conditions; game theory, with an emphasis on differential games; and the application of control-theoretic concepts to the design of economic mechanisms. Appendixes provide a mathematical review and full solutions to all end-of-chapter problems.
The material is presented at three levels: single-person decision making; games, in which a group of decision makers interact strategically; and mechanism design, which is concerned with a designer's creation of an environment in which players interact to maximize the designer's objective.
The book focuses on applications; the problems are an integral part of the text. It is intended for use as a textbook or reference for graduate students, teachers, and researchers interested in applications of control theory beyond its classical use in economic growth. The book will also appeal to readers interested in a modeling approach to certain practical problems involving dynamic continuous-time models.
This is the essential companion to the second edition of Jeffrey Wooldridge's widely used graduate econometrics text. The text provides an intuitive but rigorous treatment of two state-of-the-art methods used in contemporary microeconomic research. The numerous end-of-chapter exercises are an important component of the book, encouraging the student to use and extend the analytic methods presented in the book. This manual contains advice for answering selected problems, new examples, and supplementary materials designed by the author, which work together to enhance the benefits of the text. Users of the textbook will find the manual a necessary adjunct to the book.
This text offers a comprehensive presentation of the mathematics required to tackle problems in economic analyses. To give a better understanding of the mathematical concepts, the text follows the logic of the development of mathematics rather than that of an economics course. The only prerequisite is high school algebra, but the book goes on to cover all the mathematics needed for undergraduate economics. It is also a useful reference for graduate students. After a review of the fundamentals of sets, numbers, and functions, the book covers limits and continuity, the calculus of functions of one variable, linear algebra, multivariate calculus, and dynamics. To develop the student’s problem-solving skills, the book works through a large number of examples and economic applications. This streamlined third edition offers an array of new and updated examples. Additionally, lengthier proofs and examples are provided on the book’s website. The book and the Web material are cross-referenced in the text. A student solutions manual is available, and instructors can access online instructor’s material that includes solutions and PowerPoint slides.
Downloadable instructor resources available for this title: instuctor's manual
The second edition of this acclaimed graduate text provides a unified treatment of two methods used in contemporary econometric research, cross section and data panel methods. By focusing on assumptions that can be given behavioral content, the book maintains an appropriate level of rigor while emphasizing intuitive thinking. The analysis covers both linear and nonlinear models, including models with dynamics and/or individual heterogeneity. In addition to general estimation frameworks (particular methods of moments and maximum likelihood), specific linear and nonlinear methods are covered in detail, including probit and logit models and their multivariate, Tobit models, models for count data, censored and missing data schemes, causal (or treatment) effects, and duration analysis.Econometric Analysis of Cross Section and Panel Data was the first graduate econometrics text to focus on microeconomic data structures, allowing assumptions to be separated into population and sampling assumptions. This second edition has been substantially updated and revised. Improvements include a broader class of models for missing data problems; more detailed treatment of cluster problems, an important topic for empirical researchers; expanded discussion of "generalized instrumental variables" (GIV) estimation; new coverage (based on the author's own recent research) of inverse probability weighting; a more complete framework for estimating treatment effects with panel data, and a firmly established link between econometric approaches to nonlinear panel data and the "generalized estimating equation" literature popular in statistics and other fields. New attention is given to explaining when particular econometric methods can be applied; the goal is not only to tell readers what does work, but why certain "obvious" procedures do not. The numerous included exercises, both theoretical and computer-based, allow the reader to extend methods covered in the text and discover new insights.
Downloadable instructor resources available for this title: solutions to all problems in the text
Robert Reitano’s Introduction to Quantitative Finance offers an accessible yet rigorous development of many of the fields of mathematics necessary for success in investment and quantitative finance, covering topics applicable to portfolio theory, investment banking, option pricing, investment, and insurance risk management. The approach emphasizes the mathematical framework provided by each mathematical discipline, and the application of each framework to the solution of finance problems. This manual provides solutions to the Practice Exercises in the text.