Nonlinearity, Bounded Rationality, and Heterogeneity


Book Description

This book pursues a nonlinear approach in considering both chaotic dynamical models and agent-based simulation models of economics, as well as their dynamical behaviors. Three key concepts arising in this context are “nonlinearity,” “bounded rationality” and “heterogeneity,” which also make up the title of the book. Nonlinearity is the warp that runs throughout all models because systems that exhibit chaotic or other complex behavior in the absence of any exogenous disturbances are absolutely nonlinear. Bounded rationality constitutes the woof, because economic systems do not exhibit complex behavior if all agents are perfectly rational, as is usually assumed in neoclassical economics. Agents who are boundedly rational have to struggle to do their best with limited information and tend to adapt to their economic environment without knowing what is the best. Furthermore, the heterogeneity of firms or consumers dyes the fabric of complex dynamics woven from the warp and woof.







Nonlinear Dynamics and Heterogeneous Interacting Agents


Book Description

Economic application of nonlinear dynamics, microscopic agent-based modelling, and the use of artificial intelligence techniques as learning devices of boundedly rational actors are among the most exciting interdisciplinary ventures of economic theory over the past decade. This volume provides us with a most fascinating series of examples on "complexity in action" exemplifying the scope and explanatory power of these innovative approaches.




Socialist Economic Development in the 21st Century


Book Description

Over a hundred years after the first socialist revolution broke the global monopoly of capitalism, a new class of socialist-oriented socioeconomic development is coming to the fore. Capitalism is still dominant worldwide, although its hegemony is no longer undisputed, and humankind is now faced with a key existential challenge. This book proposes an alternative path to overcoming the worldwide crisis of globalized capitalism. It offers a novel, balanced and historically rooted interpretation of the successes and failures of socialist economic construction throughout the last century. The authors apply a multidisciplinary, holistic and purpose-based methodology to draw basic lessons from stylized facts, emerging in different areas of knowledge, ranging from political economy to biology, and from key national socioeconomic experiences, with a particular focus on China. The book is divided into three parts. The first is mainly theoretical and general in nature, identifying the major contributions bequeathed by the hard sciences to their social counterparts. Consistent with these findings, the authors offer a stylized interpretation of the contemporary state-of-the-art of the debate on the core concepts of economic science and advance a few elementary theories about what socialism in the 21st century could look like. The second and third parts analyze and discusses the core features of a few select experiences, which have evolved in certain countries since 1917, some of which are still unfolding. The book will find an audience among academics, researchers and students in the fields of economics, political science, history, and geography, as well as, policy makers, particularly in developing countries.







Encyclopedia of Nonlinear Science


Book Description

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.




The Socioeconomics of Economics


Book Description

The economic discipline has always been an object of investigation. But unlike in former times, when methodological and epistemological developments had been the object of historians of economic thought, recently the focus of inquiry shifted towards the constitution, organisation and performativity of the economic discipline. It is the intention of the book to contribute to a better understanding of the working and failures of the `market for economic ideas'.




Nonlinear Dynamical Systems in Economics


Book Description

Many problems in theoretical economics are mathematically formalized as dynam ical systems of difference and differential equations. In recent years a truly open approach to studying the dynamical behavior of these models has begun to make its way into the mainstream. That is, economists formulate their hypotheses and study the dynamics of the resulting models rather than formulating the dynamics and studying hypotheses that could lead to models with such dynamics. This is a great progress over using linear models, or using nonlinear models with a linear approach, or even squeezing economic models into well-studied nonlinear systems from other fields. There are today a number of economic journals open to publishing this type of work and some of these have become important. There are several societies which have annual meetings on the subject and participation at these has been growing at a good rate. And of course there are methods and techniques avail able to a more general audience, as well as a greater availability of software for numerical and graphical analysis that makes this type of research even more excit ing. The lecturers for the Advanced School on Nonlinear Dynamical Systems in Economics, who represent a wide selection of the research areas to which the the ory has been applied, agree on the importance of simulations and computer-based analysis. The School emphasized computer applications of models and methods, and all contributors ran computer lab sessions.




Nonlinear Economic Dynamics and Financial Modelling


Book Description

This book reflects the state of the art on nonlinear economic dynamics, financial market modelling and quantitative finance. It contains eighteen papers with topics ranging from disequilibrium macroeconomics, monetary dynamics, monopoly, financial market and limit order market models with boundedly rational heterogeneous agents to estimation, time series modelling and empirical analysis and from risk management of interest-rate products, futures price volatility and American option pricing with stochastic volatility to evaluation of risk and derivatives of electricity market. The book illustrates some of the most recent research tools in these areas and will be of interest to economists working in economic dynamics and financial market modelling, to mathematicians who are interested in applying complexity theory to economics and finance and to market practitioners and researchers in quantitative finance interested in limit order, futures and electricity market modelling, derivative pricing and risk management.




Optimization, Dynamics, and Economic Analysis


Book Description

This book includes a collection of articles that present recent developments in the fields of optimization and dynamic game theory, economic dynamics, dynamic theory of the firm, and population dynamics and non standard applications of optimal control theory. The authors of the articles are well respected authorities in their fields and are known for their high quality research in the fields of optimization and economic dynamics.