The second edition of a rigorous and example-driven introduction to topics in economic dynamics that emphasizes techniques for modeling dynamic systems. This text provides an introduction to the modern theory of economic dynamics, with emphasis on mathematical and computational techniques for modeling dynamic systems. Written to be both rigorous and engaging, the book shows how sound understanding of the underlying theory leads to effective algorithms for solving real-world problems. The material makes extensive use of programming examples to illustrate ideas, bringing to life the abstract concepts in the text. Key topics include algorithms and scientific computing, simulation, Markov models, and dynamic programming. Part I introduces fundamentals and part II covers more advanced material. This second edition has been thoroughly updated, drawing on recent research in the field. New for the second edition: “Programming-language agnostic” presentation using pseudocode. New chapter 1 covering conceptual issues concerning Markov chains such as ergodicity and stability. New focus in chapter 2 on algorithms and techniques for program design and high-performance computing. New focus on household problems rather than optimal growth in material on dynamic programming. Solutions to many exercises, code, and other resources available on a supplementary website.

A unified and comprehensive introduction to the analytical and numerical tools for solving dynamic economic problems; substantially revised for the second edition. This book offers a unified, comprehensive, and up-to-date treatment of analytical and numerical tools for solving dynamic economic problems. The focus is on introducing recursive methods—an important part of every economist's set of tools—and readers will learn to apply recursive methods to a variety of dynamic economic problems. The book is notable for its combination of theoretical foundations and numerical methods. Each topic is first described in theoretical terms, with explicit definitions and rigorous proofs; numerical methods and computer codes to implement these methods follow. Drawing on the latest research, the book covers such cutting-edge topics as asset price bubbles, recursive utility, robust control, policy analysis in dynamic New Keynesian models with the zero lower bound on interest rates, and Bayesian estimation of dynamic stochastic general equilibrium (DSGE) models. This second edition has been substantially updated. Responding to renewed interest in modeling with multiple equilibria, it incorporates new material on this topic throughout. It offers an entirely new chapter on deterministic nonlinear systems, and provides new material on such topics as linear planar systems, chaos, bifurcations, indeterminacy and sunspot solutions, pruning nonlinear solutions, the bandit problem, rational inattention models, bequests, self-fulfilling prophecies, the cyclical behavior of unemployment and vacancies, and the long-run risk model. The exposition of each chapter has been revised and improved, and many new figures, Matlab codes, and exercises have been added. A student solutions manual can be purchased separately.

Financial Economics, Risk and Information presents the fundamentals of finance in static and dynamic frameworks with focus on risk and information. The objective of this book is to introduce undergraduate and first-year graduate students to the methods and solutions of the main problems in finance theory relating to the economics of uncertainty and information. The main goal of the second edition is to make the materials more accessible to a wider audience of students and finance professionals. The focus is on developing a core body of theory that will provide the student with a solid intellectual foundation for more advanced topics and methods. The new edition has streamlined chapters and topics, with new sections on portfolio choice under alternative information structures. The starting point is the traditional mean-variance approach, followed by portfolio choice from first principles. The topics are extended to alternative market structures, alternative contractual arrangements and agency, dynamic stochastic general equilibrium in discrete and continuous time, attitudes towards risk and towards inter-temporal substitution in discrete and continuous time; and option pricing. In general, the book presents a balanced introduction to the use of stochastic methods in discrete and continuous time in the field of financial economics.

This is the substantially revised and restructured second edition of Ron Shone's successful advanced textbook Economic Dynamics. The book provides detailed coverage of dynamics and phase diagrams, including: quantitative and qualitative dynamic systems, continuous and discrete dynamics, linear and non-linear systems and single equation and systems of equations. It illustrates dynamic systems using Mathematica, Maple V and spreadsheets. It provides a thorough introduction to phase diagrams and their economic application and explains the nature of saddle path solutions. The second edition contains a new chapter on oligopoly and an extended treatment of stability of discrete dynamic systems and the solving of first-order difference equations. Detailed routines on the use of Mathematica and Maple are now contained in the body of the text, which now includes advice on the use of Excel and additional examples and exercises throughout. Supporting website contains solutions manual and learning tools.

The series is devoted to the publication of high-level monographs which cover progresses in fractional calculus research in mathematics and applications in physics, mechanics, engineering and biology etc. Methodological aspects e.g., theory, modeling and computational methods are presented from mathematical point of view, and emphases are placed in computer simulation, analysis, design and control of application-oriented issues in various scientific disciplines. It is designed for mathematicians, and researchers using fractional calculus as a tool in the field of physics, mechanics, engineering and biology. Contributions which are interdisciplinary and which stimulate further research at the crossroads of sciences and engineering are particularly welcomed. Editor-in-chief: Changpin Li, Shanghai University, China Editorial Board: Virginia Kiryakova, Bulgarian Academy of Sciences, Bulgaria Francesco Mainardi, University of Bologna, Italy Dragan Spasic, University of Novi Sad, Serbia Bruce Ian Henry, University of New South Wales, Australia YangQuan Chen, University of California, Merced, USA Please submit book proposals to Leonardo Milla, leonardo.milla@degruyter.com

The new edition of a widely used, comprehensive graduate-level text and professional reference covering all aspects of labor economics, with substantial new material. This landmark graduate-level text combines depth and breadth of coverage with recent, cutting-edge work in all the major areas of modern labor economics. Its command of the literature and its coverage of the latest theoretical, methodological, and empirical developments make it also a valuable resource for practicing labor economists. This second edition has been substantially updated and augmented. It incorporates examples drawn from many countries, and it presents empirical methods using contributions that have proved to be milestones in labor economics. The data and codes of these research publications, as well as numerous tables and figures describing the functioning of labor markets, are all available on a dedicated website (www.labor-economics.org), along with slides that can be used as course aids and a discussion forum. This edition devotes more space to the analysis of public policy and the levers available to policy makers, with new chapters on such topics as discrimination, globalization, income redistribution, employment protection, and the minimum wage or labor market programs for the unemployed. Theories are explained on the basis of the simplest possible models, which are in turn related to empirical results. Mathematical appendixes provide a toolkit for understanding the models.

This textbook concisely covers math knowledge and tools useful for business and economics studies, including matrix analysis, basic math concepts, general optimization, dynamic optimization, and ordinary differential equations. Basic math tools, particularly optimization tools, are essential for students in a business school, especially for students in economics, accounting, finance, management, and marketing. It is a standard practice nowadays that a graduate program in a business school requires a short and intense course in math just before or immediately after the students enter the program. Math in Economics aims to be the main textbook for such a crash course.The 1st edition was published by People's University Publisher, China. This new edition contains an added chapter on Probability Theory along with changes and improvements throughout.

Economists broadly define financial asset price bubbles as episodes in which prices rise with notable rapidity and depart from historically established asset valuation multiples and relationships. Financial economists have for decades attempted to study and interpret bubbles through the prisms of rational expectations, efficient markets, and equilibrium, arbitrage, and capital asset pricing models, but they have not made much if any progress toward a consistent and reliable theory that explains how and why bubbles (and crashes) evolve and can also be defined, measured, and compared. This book develops a new and different approach that is based on the central notion that bubbles and crashes reflect urgent short-side rationing, which means that, as such extreme conditions unfold, considerations of quantities owned or not owned begin to displace considerations of price.

Acclaim for the first edition: ÔThis easy-to-read collection . . . tells the whole story. Filled with short, well-written pieces, the encyclopedia covers the names and ideas that preceded Keynes, that carried his work to the center of the profession, and that eventually supplanted him there . . . There are excellent and unexpected articles on the Austrian school, the Lausanne school, and the Ricardo effect. There are well-done pieces on all the basic theoretical models at the heart of Keynesianism . . . [the] volume has been well put together. The editors deserve special praise for letting each contributor tell his own story. Those who oppose KeynesÕs ideas are just as well represented as those who carry the torch for him. This evenhandedness helps to ensure a volume that is truly representative and that will allow its users to get a full picture of the life and times of Keynesian economics.Õ Ð Bradley W. Bateman, Grinnell College, US ÔThe book will also be of some interest to serious scholars, partly because it includes biographies of many economists too young to have been included in the New Palgrave, such as Dornbusch, Fisher, Herschel Grossman, Kregel, Lucas, and Robert Townsend. It also includes some very interesting longer essays.Õ Ð Peter Howitt, The Economic Journal ÔThis book provides an excellent summary of the many strands of ÔKeynesianÕ- style thought both before and after 1936. Its well-considered entries take care to make explicit the assumptions and fundamental points of difference between theories too often concealed by the parents and advocates of specific theories in their zeal to promote the universality of the ideas. There is scarcely an entry that suffers from wordiness and repetition; the readerÕs scarce time is not abused.Õ Ð Elizabeth Webster, Economic Record ÔThis reviewer found using this source exhilarating and endowed with additional interest in view of the 1997 discussion on the inclusion or noninclusion of Keynesian economics in introductory economics textbooks. The editors should be applauded for helping to preserve a part of intellectual heritage.Õ Ð Bogdan Mieczkowski, American Reference Books ÔIt is the best single reference source on Keynesian economics and will be welcomed by students and teachers in economics as well as scholars in related social sciences and government policy makers.Õ Ð Educational Book Review This thoroughly revised and updated second edition of a highly acclaimed and authoritative reference work introduces the major concepts in the field of Keynesian economics. The comprehensive Encyclopedia features accessible, informative and provocative contributions by leading international scholars working in the tradition of Keynes. It brings together widely dispersed yet theoretically congruent ideas, presents concise biographies of economists who have contributed to the debate on Keynes and the Keynesian Revolution, and outlines the basic principles, models and tools used to discuss the economic consequences of The General Theory. Longer entries on specific topics associated with Keynes and the Keynesian Revolution analyse the principal factors that contributed to The General Theory, the economics of Keynes and the rise and apparent decline of Keynesian economics in greater detail. The second edition will ensure that An Encyclopedia of Keynesian Economics will remain the best single reference source on Keynesian economics and will continue to be welcomed by academics, students and teachers of economics as well as by scholars in related social sciences and government policymakers.

Conventional economic analysis of property rights in natural resources is too narrow and restrictive to allow for effective comparisons between alternative institutional structures. In this book, a conceptual framework is developed for the analysis of the