Computation and Complexity in Economic Behavior and Organization

Computation and Complexity in Economic Behavior and Organization PDF

Author: Kenneth R. Mount

Publisher: Cambridge University Press

Published: 2002-06-24

Total Pages: 251

ISBN-13: 1139433733

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This book presents a model of computing and a measure of computational complexity which are intended to facilitate analysis of computations performed by people, machines, or a mixed system of people and machines. The model is designed to apply directly to models of economic theory, which typically involve continuous variables and smooth functions, without requiring analysis of approximations. The model permits analysis of the feasibility and complexity of the calculations required of economic agents in order for them to arrive at their decisions. The treatment contains applications of the model to game theory and economics, including comparison of the complexities of different solution concepts in certain bargaining games, and the trade-off between communication and computation in an example of an Edgeworth Box economy.

Foundations and Applications of Complexity Economics

Foundations and Applications of Complexity Economics PDF

Author: J. Barkley Rosser, Jr.

Publisher: Springer Nature

Published: 2021-05-21

Total Pages: 174

ISBN-13: 3030706680

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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.

Coping with Complexity

Coping with Complexity PDF

Author: H.W. Gottinger

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 239

ISBN-13: 9400970242

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In this book I develop a theory of complexity for economics and manage ment sciences. This book is addressed to the mathematically or analytically oriented economist, psychologist or management scientist. It could also be of interest to engineers, computer scientists, biologists, physicists and ecologists who have a constant desire to go beyond the bounds of their respective disciplines. The unifying theme is: we live in a complex world, but how can we cope with complexity? If the book has made the reader curious, and if he looks at modelling, problem recognition and problem solving within his field of competence in a more "complex" way, it will have achieved its goal. The starting point is the recognition that complexity is a well-defined concept in mathematics (e.g. in topological dynamics), computer science, information theory and artificial intelligence. But it is a rather diffuse concept in other fields, sometimes it has only descriptive value or even worse, it is only used in a colloquial sense. The systematic investigation of complexity phenomena has reached a mature status within computer science. Indices of computer size, capacity and performance root ultimately in John von Neumann's paradigmatic model of a machine, though other 1 roots point to McCulloch and Pitts, not to forget Alan Turing. Offsprings of this development include: -complexity of formal systems and recursiveness; -cellular automata and the theory of self-reproducing machines; -theory of program or computational complexity; -theory of sequential machines; -problem solving, cognitive science, pattern recognition and decision processes.

Barriers and Bounds to Rationality

Barriers and Bounds to Rationality PDF

Author: Peter Albin

Publisher: Princeton University Press

Published: 2021-10-12

Total Pages: 296

ISBN-13: 0691237581

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Peter Albin is known for his seminal work in applying the concepts of adaptive dynamical systems, first developed by biologists and physicists, to the study of economic systems. This book is a collection of his pathbreaking articles on the application of cellular automata and complexity theory to economic problems. Duncan Foley provides a thoughtful introduction in which he reviews the disparate analytical sources of Albin's work in the theories of nonlinear dynamical systems, economic dynamics, cellular automata, linguistic and computational complexity, and bounded rationality. Albin has analyzed economic systems as interactions of highly complex components (i.e., intelligent human beings). He uses the theories of generative linguistics and cellular automata to establish that the complexity level of economic systems is, in principle at least, that of a Turing machine or general-purpose computer, establishing that classic economic approaches to the problems of household and firm choice, macroeconomic prediction, and policy evaluation may give rise to undecidable propositions and uncomputable functions. He develops simple models of dynamic economic interaction based on cellular automata which illustrate the inherent complexity of economic interactions and the resulting challenge they pose to traditional theories of rational economic behavior. These models explore the dynamics of the business cycle, decentralized market trading, and the emergence of cooperation in a novel local-interaction version of the repeated prisoners' dilemma game. Albin's work provides a unique and important perspective on economic systems.

Global Analysis of Dynamic Models in Economics and Finance

Global Analysis of Dynamic Models in Economics and Finance PDF

Author: Gian Italo Bischi

Publisher: Springer Science & Business Media

Published: 2012-08-07

Total Pages: 449

ISBN-13: 3642295037

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The essays in this special volume survey some of the most recent advances in the global analysis of dynamic models for economics, finance and the social sciences. They deal in particular with a range of topics from mathematical methods as well as numerous applications including recent developments on asset pricing, heterogeneous beliefs, global bifurcations in complementarity games, international subsidy games and issues in economic geography. A number of stochastic dynamic models are also analysed. The book is a collection of essays in honour of the 60th birthday of Laura Gardini.​

Entangled Political Economy

Entangled Political Economy PDF

Author: Roger Koppl

Publisher: Emerald Group Publishing

Published: 2014-10-03

Total Pages: 256

ISBN-13: 1784411019

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Volume 18 Entangled Political Economy of the Book Series Advances in Austrian Economics examines the concept 'entangled political economy' from several distinct but complementary points of view. The volume is proof that Wagner's notion of entanglement opens new vistas for political economy in all its dimensions.

Social Fairness and Economics

Social Fairness and Economics PDF

Author: Lance Taylor

Publisher: Routledge

Published: 2013-02-11

Total Pages: 427

ISBN-13: 1136270876

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This volume brings together papers inspired by the work of Duncan Foley, an extraordinarily productive economist who has made seminal contributions to a wide variety of areas. Foley’s work cannot be easily classified, but one thread that runs through it is a critical examination (along both ethical and analytical lines) of conventional neoclassical economic theory, particularly involving general equilibrium theories of value and money. Foley was a pioneer of complexity economics as well, which adopts approaches to these questions drawn from natural sciences, so the collection therefore has an interdisciplinary quality that will interest a wide variety of readers. Some of the chapters are intellectual biographies that contextualize and identify Foley’s contributions to Keynesian macroeconomics, Marxian value theory, and complexity theory in economics. The topics covered include the economics of complexity; the ethics of general equilibrium theory; the economics of climate change; applications of Keynesian, Marxian and Ricardian political economy; and money and financial crises. The collection should be useful to scholars who work in various economic traditions critical of the currently dominant free-market approach, but it also speaks to scholars of critical theory in various disciplines beyond economics such as the mathematicians, physicists, and other natural scientists who are interested in understanding the complexity of social processes using their analytical frameworks. This book should also appeal to graduate students in economics who are working in these traditions, as well as scholars (including current graduate students in orthodox programs) who are dissatisfied with the current state of economic theory and would like to satisfy their intellectual curiosity by sampling the contributions of critical theorists.

Computable, Constructive & Behavioural Economic Dynamics

Computable, Constructive & Behavioural Economic Dynamics PDF

Author: Stefano Zambelli

Publisher: Routledge

Published: 2010-02-25

Total Pages: 812

ISBN-13: 1135272522

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The book contains thirty original articles dealing with important aspects of theoretical as well as applied economic theory. While the principal focus is on: the computational and algorithmic nature of economic dynamics; individual as well as collective decision process and rational behavior, some contributions emphasize also the importance of classical recursion theory and constructive mathematics for dynamical systems, business cycles theories, growth theories, and others are in the area of history of thought, methodology and behavioural economics. The contributors range from Nobel Laureates to the promising new generation of innovative thinkers. This volume is also a Festschrift in honour of Professor Kumaraswamy Vela Velupillai, the founder of Computable Economics, a growing field of research where important results stemming from classical recursion theory and constructive mathematics are applied to economic theory. The aim and hope is to provide new tools for economic modelling. This book will be of particular appeal to postgraduate students and scholars in one or more of the following fields: computable economics, business cycles, macroeconomics, growth theories, methodology, behavioural economics, financial economics, experimental and agent based economics. It might be also of importance to those interested on the general theme of algorithmic foundations for social sciences.

Computable, Constructive & Behavioural Economic Dynamics

Computable, Constructive & Behavioural Economic Dynamics PDF

Author: Stefano Zambelli

Publisher: Routledge

Published: 2010-02-25

Total Pages: 464

ISBN-13: 1135272530

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The book contains thirty original articles dealing with important aspects of theoretical as well as applied economic theory. While the principal focus is on: the computational and algorithmic nature of economic dynamics; individual as well as collective decision process and rational behavior, some contributions emphasize also the importance of classical recursion theory and constructive mathematics for dynamical systems, business cycles theories, growth theories, and others are in the area of history of thought, methodology and behavioural economics. The contributors range from Nobel Laureates to the promising new generation of innovative thinkers. This volume is also a Festschrift in honour of Professor Kumaraswamy Vela Velupillai, the founder of Computable Economics, a growing field of research where important results stemming from classical recursion theory and constructive mathematics are applied to economic theory. The aim and hope is to provide new tools for economic modelling. This book will be of particular appeal to postgraduate students and scholars in one or more of the following fields: computable economics, business cycles, macroeconomics, growth theories, methodology, behavioural economics, financial economics, experimental and agent based economics. It might be also of importance to those interested on the general theme of algorithmic foundations for social sciences.