Mathematics in Science and Engineering, Volume 20, Adaptive Processes in Economic Systems demonstrates the usefulness of communications theory, self-adaptive control theory, and thermodynamic theory to certain economic processes. This book discusses the common properties of adaptive processes, role of the decision maker, and mixed adaptive processes of the first and second kind. The economic environmental processes, concept of entropy time, and stochastic dynamic economic process are also elaborated. This text likewise covers the investment model with full liquidity, adaptive capital allocation process, and concept of an economic state space. Other topics include the stochastic equilibrium in the market and individual adaptive behavior. This volume is suitable for engineers, economists, and specialists of disciplines related to economic systems.

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering

Adaptive processes and economic theory; Biological systems as paradigms for adaptation; Optimization and evolution in the theory of the firm; The market adaptation of the firm; Learning by firms about demand conditions; Further notes on the allocation of effort.

In this landmark work, a Nobel Prize-winning economist develops a new way of understanding the process by which economies change. Douglass North inspired a revolution in economic history a generation ago by demonstrating that economic performance is determined largely by the kind and quality of institutions that support markets. As he showed in two now classic books that inspired the New Institutional Economics (today a subfield of economics), property rights and transaction costs are fundamental determinants. Here, North explains how different societies arrive at the institutional infrastructure that greatly determines their economic trajectories. North argues that economic change depends largely on "adaptive efficiency," a society's effectiveness in creating institutions that are productive, stable, fair, and broadly accepted--and, importantly, flexible enough to be changed or replaced in response to political and economic feedback. While adhering to his earlier definition of institutions as the formal and informal rules that constrain human economic behavior, he extends his analysis to explore the deeper determinants of how these rules evolve and how economies change. Drawing on recent work by psychologists, he identifies intentionality as the crucial variable and proceeds to demonstrate how intentionality emerges as the product of social learning and how it then shapes the economy's institutional foundations and thus its capacity to adapt to changing circumstances. Understanding the Process of Economic Change accounts not only for past institutional change but also for the diverse performance of present-day economies. This major work is therefore also an essential guide to improving the performance of developing countries.

This first volume in a three-volume exposition of Shubik's vision of "mathematical institutional economics" explores a one-period approach to economic exchange with money, debt, and bankruptcy. This is the first volume in a three-volume exposition of Martin Shubik's 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 as a prime tool the theory of games in strategic and extensive form. The approach involves a search for minimal financial institutions that appear as a logical, technological, and institutional necessity, as part of the "rules of the game." Money and financial institutions are assumed to be the basic elements of the network that transmits the sociopolitical imperatives to the economy. Volume 1 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 multi-period finite and infinite horizon economies. Volume 3 will consider the specific role of financial institutions and government, and formulate the economic financial control problem linking micro- and macroeconomics.

This book is at the cutting edge of the ongoing ‘neo-Schumpeterian’ research program that investigates how economic growth and its fluctuation can be understood as the outcome of a historical process of economic evolution. Much of modern evolutionary economics has relied upon biological analogy, especially about natural selection. Although this is valid and useful, evolutionary economists have, increasingly, begun to build their analytical representations of economic evolution on understandings derived from complex systems science. In this book, the fact that economic systems are, necessarily, complex adaptive systems is explored, both theoretically and empirically, in a range of contexts. Throughout, there is a primary focus upon the interconnected processes of innovation and entrepreneurship, which are the ultimate sources of all economic growth. Twenty two chapters are provided by renowned experts in the related fields of evolutionary economics and the economics of innovation.

A new, evolutionary explanation of markets and investor behavior Half of all Americans have money in the stock market, yet economists can’t agree on whether investors and markets are rational and efficient, as modern financial theory assumes, or irrational and inefficient, as behavioral economists believe. The debate is one of the biggest in economics, and the value or futility of investment management and financial regulation hangs on the answer. In this groundbreaking book, Andrew Lo transforms the debate with a powerful new framework in which rationality and irrationality coexist—the Adaptive Markets Hypothesis. Drawing on psychology, evolutionary biology, neuroscience, artificial intelligence, and other fields, Adaptive Markets shows that the theory of market efficiency is incomplete. When markets are unstable, investors react instinctively, creating inefficiencies for others to exploit. Lo’s new paradigm explains how financial evolution shapes behavior and markets at the speed of thought—a fact revealed by swings between stability and crisis, profit and loss, and innovation and regulation. An ambitious new answer to fundamental questions about economics and investing, Adaptive Markets is essential reading for anyone who wants to understand how markets really work.