This book presents a survey of the aspects of economic complexity, with a focus on foundational, interdisciplinary ideas. The long-awaited follow up to his 2011 volume Complex Evolutionary Dynamics in Urban-Regional and Ecologic-Economic Systems: From Catastrophe to Chaos and Beyond, this volume draws together the threads of Rosser's earlier work on complexity theory and its wide applications in economics and an expanded list of related disciplines. The book begins with a full account of the broader categories of complexity in economics--dynamic, computational, hierarchical, and structural--before shifting to more detailed analysis. The next two chapters address problems associated with computational complexity, especially those of computability, and discuss the Godel Incompleteness Theorem with a focus on reflexivity. The middle chapters discuss the relationship between entropy, econophysics, evolution, and economic complexity, respectively, with applications in urban and regional dynamics, ecological economics, general equilibrium theory, as well as financial market dynamics. The final chapter works to bring together these themes into a broader framework and expose some of the limits concerning analysis of deeper foundational issues. With applications in all disciplines characterized by interconnected nonlinear adaptive systems, this book is appropriate for graduate students, professors and practitioners in economics and related disciplines such as regional science, mathematics, physics, biology, environmental sciences, philosophy, and psychology.

From Catastrophe to Chaos: A General Theory of Economic Discontinuities presents and unusual perspective on economics and economic analysis. Current economic theory largely depends upon assuming that the world is fundamentally continuous. However, an increasing amount of economic research has been done using approaches that allow for discontinuities such as catastrophe theory, chaos theory, synergetics, and fractal geometry. The spread of such approaches across a variety of disciplines of thought has constituted a virtual intellectual revolution in recent years. This book reviews the applications of these approaches in various subdisciplines of economics and draws upon past economic thinkers to develop an integrated view of economics as a whole from the perspective of inherent discontinuity.

"Now, however, weface an Age of Discontinuity in world economy and tech- nology. We might succeed in making it an age of great economic growth as weil. But the one thing that is certain so far is that it will be a period of change-in technology and in economic policy, in industry structures and in economic theo- ry, in the knowledge needed to govern and manage, and in economic issues. While we have been busy finishing the great nineteenth-century economic ed- ijice, the foundations have shifted beneath our feet." Peter F. Drucker, 1968 The A~e Qf DiscQntinuity, p. 10 This project has had a lQng gestatiQn period, probably ultimately dating to a YQuthful QbsessiQn with watershed divides and bQundaries. My awareness Qf the problem Qf discQntinuity in eCQnQmics dates tQ my first enCQunter with the capi- tal theQry paradQxes in the late 1960s, the fruits Qf which can be seen in Chapter 8 Qf this book. This awareness led tQ a frostratiQn Qver the apparent lack Qf a mathematics Qf discQntinuity, a lack that was in the process of rapidly being QverCQme at that time.

Drawing on the middle chapters from the first edition of J. Barkley Rosser's seminal work, "From Catastrophe to Chaos, " this book presents an unusual perspective on economics and economic analysis. Current economic theory largely depends upon assuming that the world is fundamentally continuous. However, an increasing amount of economic research has been done using approaches that allow for discontinuities such as catastrophe theory, chaos theory, synergetics, and fractal geometry. The spread of such approaches across a variety of disciplines of thought has constituted a virtual intellectual revolution in recent years. This book reviews the applications of these approaches in various subdisciplines of economics and draws upon past economic thinkers to develop an integrated view of economics as a whole from the perspective of inherent discontinuity.

As Europe moves toward an integrated academic system, European economics is changing. This book discusses that change, along with the changes that are happening simultaneously within the economics profession. The authors argue that modern economics can no longer usefully be described as ?neoclassical?, but is much better described as complexity economics. The complexity approach embraces rather than assumes away the complexities of social interaction. The authors also argue that despite all the problems with previous European academic structures, those structures allowed for more diversity than exists in US universities, and thus were often ahead of US universities in exploring new cutting-edge approaches. The authors further argue that by trying to judge themselves by US-centric measures and to copy US universities, the European economics profession is undermining some of the strengths of the older system ? strengths on which it should be building. While the authors agree that European economics needs to go through major changes in the coming decade, they argue that by building on Europe?s strengths, rather than trying to follow a US example, Europe will be more likely to become the global leader in economics in the coming decades rather than a second-rate copy of the US. The book begins with two chapters spelling out the authors? view of the changes in economics and European economics. This is followed by 11 interviews with a diverse set of innovative European economists from a range of European countries. In the interviews these European economists reflect on the ongoing changes in economics generally and in European economics specifically. These interviews demonstrate how the economics profession is moving away from traditional neoclassical economics into a dynamic set of new methods and approaches (incorporating work in behavioral economics, experimental economics, evolutionary game theory and ecological approaches, complexity and nonlinear dynamics, methodological analysis, and agent-based modelling) that the authors classify as complexity economics. This fascinating and easy-to-read book will prove a stimulating and thought-provoking read for those with an interest in economics, European education, and the nature of academic disciplines generally.

Complexity research draws on complexity in various disciplines. This Handbook provides a comprehensive and current overview of applications of complexity theory in economics. The 15 chapters, written by leading figures in the field, cover such broad topic areas as conceptual issues, microeconomic market dynamics, aggregation and macroeconomics issues, econophysics and financial markets, international economic dynamics, evolutionary and ecological-environmental economics, and broader historical perspectives on economic complexity. This Handbook presents perspectives at a broad and high level of current cutting edge research in complexity, and will be of great interest to academics concerned with all aspects of economics and in particular economic theory, macroeconomics and evolutionary economics.

As Europe moves toward an integrated academic system, European economics is changing. This book discusses that change, along with the changes that are happening simultaneously within the economics profession. The authors argue that modern economics can no longer usefully be described as ?neoclassical?, but is much better described as complexity economics. The complexity approach embraces rather than assumes away the complexities of social interaction. The authors also argue that despite all the problems with previous European academic structures, those structures allowed for more diversity than exists in US universities, and thus were often ahead of US universities in exploring new cutting-edge approaches. The authors further argue that by trying to judge themselves by US-centric measures and to copy US universities, the European economics profession is undermining some of the strengths of the older system ? strengths on which it should be building. While the authors agree that European economics needs to go through major changes in the coming decade, they argue that by building on Europe?s strengths, rather than trying to follow a US example, Europe will be more likely to become the global leader in economics in the coming decades rather than a second-rate copy of the US. The book begins with two chapters spelling out the authors? view of the changes in economics and European economics. This is followed by 11 interviews with a diverse set of innovative European economists from a range of European countries. In the interviews these European economists reflect on the ongoing changes in economics generally and in European economics specifically. These interviews demonstrate how the economics profession is moving away from traditional neoclassical economics into a dynamic set of new methods and approaches (incorporating work in behavioral economics, experimental economics, evolutionary game theory and ecological approaches, complexity and nonlinear dynamics, methodological analysis, and agent-based modelling) that the authors classify as complexity economics. This fascinating and easy-to-read book will prove a stimulating and thought-provoking read for those with an interest in economics, European education, and the nature of academic disciplines generally.

Complex dynamics in economics arise from nonlinear systems that do not converge to a fixed point, a limit cycle, or explode or implode exponentially due to endogenous factors. They arise from cybernetics, catastrophe theory, chaos theory, or the varieties of modern complexity theory, including models with heterogeneous, interacting agents. This major three-volume collection presents the most important papers in the area of complexity in economics. Topics include: Volume I: Philosophical and Methodological Overviews; Social Interactions and Learning Dynamics; Competitive Market Dynamics; Dynamics of Imperfect Competition; Volume II: Macroeconomic Fluctuations and Growth; Financial Markets; International and Transition Economic Dynamics; Volume III: Urban and Regional Systems; Evolutionary Economic Dynamics; and Ecologic-Economic Systems. Complexity in Economics is an authoritative and invaluable reference source for all those with an interest in this area.

This book presents a survey of the aspects of economic complexity, with a focus on foundational, interdisciplinary ideas. The long-awaited follow up to his 2011 volume Complex Evolutionary Dynamics in Urban-Regional and Ecologic-Economic Systems: From Catastrophe to Chaos and Beyond, this volume draws together the threads of Rosser's earlier work on complexity theory and its wide applications in economics and an expanded list of related disciplines. The book begins with a full account of the broader categories of complexity in economics--dynamic, computational, hierarchical, and structural--before shifting to more detailed analysis. The next two chapters address problems associated with computational complexity, especially those of computability, and discuss the Godel Incompleteness Theorem with a focus on reflexivity. The middle chapters discuss the relationship between entropy, econophysics, evolution, and economic complexity, respectively, with applications in urban and regional dynamics, ecological economics, general equilibrium theory, as well as financial market dynamics. The final chapter works to bring together these themes into a broader framework and expose some of the limits concerning analysis of deeper foundational issues. With applications in all disciplines characterized by interconnected nonlinear adaptive systems, this book is appropriate for graduate students, professors and practitioners in economics and related disciplines such as regional science, mathematics, physics, biology, environmental sciences, philosophy, and psychology.

Drawing on the middle chapters from the first edition of J. Barkley Rosser's seminal work, From Catastrophe to Chaos, this book presents an unusual perspective on economics and economic analysis. Current economic theory largely depends upon assuming that the world is fundamentally continuous. However, an increasing amount of economic research has been done using approaches that allow for discontinuities such as catastrophe theory, chaos theory, synergetics, and fractal geometry. The spread of such approaches across a variety of disciplines of thought has constituted a virtual intellectual revolution in recent years. This book reviews the applications of these approaches in various subdisciplines of economics and draws upon past economic thinkers to develop an integrated view of economics as a whole from the perspective of inherent discontinuity.

Complexity research draws on complexity in various disciplines. This Handbook provides a comprehensive and current overview of applications of complexity theory in economics. The 15 chapters, written by leading figures in the field, cover such broad topic areas as conceptual issues, microeconomic market dynamics, aggregation and macroeconomics issues, econophysics and financial markets, international economic dynamics, evolutionary and ecological-environmental economics, and broader historical perspectives on economic complexity. This Handbook presents perspectives at a broad and high level of current cutting edge research in complexity, and will be of great interest to academics concerned with all aspects of economics and in particular economic theory, macroeconomics and evolutionary economics.

From Catastrophe to Chaos: A General Theory of Economic Discontinuities presents and unusual perspective on economics and economic analysis. Current economic theory largely depends upon assuming that the world is fundamentally continuous. However, an increasing amount of economic research has been done using approaches that allow for discontinuities such as catastrophe theory, chaos theory, synergetics, and fractal geometry. The spread of such approaches across a variety of disciplines of thought has constituted a virtual intellectual revolution in recent years. This book reviews the applications of these approaches in various subdisciplines of economics and draws upon past economic thinkers to develop an integrated view of economics as a whole from the perspective of inherent discontinuity.

"Now, however, weface an Age of Discontinuity in world economy and tech- nology. We might succeed in making it an age of great economic growth as weil. But the one thing that is certain so far is that it will be a period of change-in technology and in economic policy, in industry structures and in economic theo- ry, in the knowledge needed to govern and manage, and in economic issues. While we have been busy finishing the great nineteenth-century economic ed- ijice, the foundations have shifted beneath our feet." Peter F. Drucker, 1968 The A~e Qf DiscQntinuity, p. 10 This project has had a lQng gestatiQn period, probably ultimately dating to a YQuthful QbsessiQn with watershed divides and bQundaries. My awareness Qf the problem Qf discQntinuity in eCQnQmics dates tQ my first enCQunter with the capi- tal theQry paradQxes in the late 1960s, the fruits Qf which can be seen in Chapter 8 Qf this book. This awareness led tQ a frostratiQn Qver the apparent lack Qf a mathematics Qf discQntinuity, a lack that was in the process of rapidly being QverCQme at that time.

Examination of essential topics and theorems assumes no background in logic. "Undoubtedly a major addition to the literature of mathematical logic." -- "Bulletin of the American Mathematical Society." 1978 edition.

An approach to comparative economic systems that avoids simple dichotomies to examine a wide variety of institutional and systemic arrangements, with updated country case studies. Comparative economics, with its traditional dichotomies of socialism versus capitalism, private versus state, and planning versus market, is changing. This innovative textbook offers a new approach to understanding different economic systems that reflects both recent transformations in the world economy and recent changes in the field.This new edition examines a wide variety of institutional and systemic arrangements, many of which reflect deep roots in countries' cultures and histories. The book has been updated and revised throughout, with new material in both the historical overview and the country case studies. It offers a broad survey of economic systems, then looks separately at market capitalism, Marxism and socialism, and "new traditional economies" (with an emphasis on the role of religions, Islam in particular, in economic systems). It presents case studies of advanced capitalist nations, including the United States, Japan, Sweden, and Germany; alternative paths in the transition from socialist to market economies taken by such countries as Russia, the former Soviet republics, Poland, China, and the two Koreas; and developing countries, including India, Iran, South Africa, Mexico, and Brazil. The new chapters on Brazil and South Africa complete the book's coverage of all five BRICS nations; the chapter on South Africa extends the book's comparative treatment to another continent. The chapter on Brazil with its account of the role of the Amazon rain forest as a great carbon sink expands the coverage of global environmental and sustainability issues. Each chapter ends with discussion questions.