Computable Foundations For Economics

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Computable Foundations for Economics

Author : K. Vela Velupillai
Publisher : Routledge
ISBN 13 : 1134253370
Total Pages : 513 pages
Book Rating : 4.1/5 (342 download)

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Book Synopsis Computable Foundations for Economics by : K. Vela Velupillai

Download or read book Computable Foundations for Economics written by K. Vela Velupillai and published by Routledge. This book was released on 2012-07-26 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computable Foundations for Economics is a unified collection of essays, some of which are published here for the first time and all of which have been updated for this book, on an approach to economic theory from the point of view of algorithmic mathematics. By algorithmic mathematics the author means computability theory and constructive mathematics. This is in contrast to orthodox mathematical economics and game theory, which are formalised with the mathematics of real analysis, underpinned by what is called the ZFC formalism, i.e., set theory with the axiom of choice. This reliance on ordinary real analysis and the ZFC system makes economic theory in its current mathematical mode completely non-algorithmic, which means it is numerically meaningless. The book provides a systematic attempt to dissect and expose the non-algorithmic content of orthodox mathematical economics and game theory and suggests a reformalization on the basis of a strictly rigorous algorithmic mathematics. This removes the current schizophrenia in mathematical economics and game theory, where theory is entirely divorced from algorithmic applicability – for experimental and computational exercises. The chapters demonstrate the uncomputability and non-constructivity of core areas of general equilibrium theory, game theory and recursive macroeconomics. The book also provides a fresh look at the kind of behavioural economics that lies behind Herbert Simon’s work, and resurrects a role for the noble classical traditions of induction and verification, viewed and formalised, now, algorithmically. It will therefore be of particular interest to postgraduate students and researchers in algorithmic economics, game theory and classical behavioural economics.

Nonlinearity, Complexity and Randomness in Economics

Author : Stefano Zambelli
Publisher : John Wiley & Sons
ISBN 13 : 1118300432
Total Pages : 352 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Nonlinearity, Complexity and Randomness in Economics by : Stefano Zambelli

Download or read book Nonlinearity, Complexity and Randomness in Economics written by Stefano Zambelli and published by John Wiley & Sons. This book was released on 2012-01-17 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearity, Complexity and Randomness in Economics presents a variety of papers by leading economists, scientists, and philosophers who focus on different aspects of nonlinearity, complexity and randomness, and their implications for economics. A theme of the book is that economics should be based on algorithmic, computable mathematical foundations. Features an interdisciplinary collection of papers by economists, scientists, and philosophers Presents new approaches to macroeconomic modelling, agent-based modelling, financial markets, and emergent complexity Reveals how economics today must be based on algorithmic, computable mathematical foundations

Computable Economics

Author : Kumaraswamy Velupillai
Publisher :
ISBN 13 : 9780198295273
Total Pages : 250 pages
Book Rating : 4.2/5 (952 download)

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Book Synopsis Computable Economics by : Kumaraswamy Velupillai

Download or read book Computable Economics written by Kumaraswamy Velupillai and published by . This book was released on 2000 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the field of economic analysis, computability in the formation of economic hypotheses is seen as the way forward. In this book, Professor Velupillai implements a theoretical research program along these lines. Choice theory, learning rational expectations equlibria, the persistence of adaptive behavior, arithmetical games, aspects of production theory, and economic dynamics are given recursion theoretic (i.e. computable) interpretations.

Computable Economics

Author : K. Velupillai
Publisher : OUP Oxford
ISBN 13 : 0191522449
Total Pages : 236 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Computable Economics by : K. Velupillai

Download or read book Computable Economics written by K. Velupillai and published by OUP Oxford. This book was released on 2000-01-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the field of economic analysis, computability in the formation of economic hypotheses is seen as the way forward. In this book, Professor Velupillai implements a theoretical research program along these lines. Choice theory, learning rational expectations equlibria, the persistence of adaptive behaviour, arithmetical games, aspects of production theory, and economic dynamics are given recursion theoretic (i.e. computable) interpretations. These interpretations lead to new kinds of questions being posed by the economic theorist. In particular, recurison theoretic decision problems replace standard optimisation paradigms in economic analysis. Economic theoretic questions, posed recursion-theoretically, lead to answers that are ambiguous: undecidable choices, uncomputable learning processes, and algorithmically unplayable games become standard answers. Professor Velupillai argues that a recursion theoretic formalisation of economic analysisComputable Economicsmakes the subject intrinsically inductive and computational.

Computable Economics

Author :
Publisher :
ISBN 13 : 9781784712716
Total Pages : pages
Book Rating : 4.7/5 (127 download)

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Book Synopsis Computable Economics by :

Download or read book Computable Economics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computable, Constructive & Behavioural Economic Dynamics

Author : Stefano Zambelli
Publisher : Routledge
ISBN 13 : 1135272530
Total Pages : 464 pages
Book Rating : 4.1/5 (352 download)

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Book Synopsis Computable, Constructive & Behavioural Economic Dynamics by : Stefano Zambelli

Download or read book Computable, Constructive & Behavioural Economic Dynamics written by Stefano Zambelli and published by Routledge. This book was released on 2010-02-25 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Models of Simon

Author : Kumaraswamy Vela Velupillai
Publisher : Routledge
ISBN 13 : 1134385455
Total Pages : 340 pages
Book Rating : 4.1/5 (343 download)

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Book Synopsis Models of Simon by : Kumaraswamy Vela Velupillai

Download or read book Models of Simon written by Kumaraswamy Vela Velupillai and published by Routledge. This book was released on 2017-11-22 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Herbert Simon (1916-2001) is mostly celebrated for the theory of bounded rationality and satisficing. This book of essays on Models of Simon tackles these topics that the he broached in a professional career spanning more than 60 years. Expository material on the fundamental concepts he introduced are re-interpreted in terms of the theory of computability. This volume frames the behavioural issues of concern for economists, such as: hierarchy, causality, near-diagonal linear dynamical systems, discovery, the contrasts between the notion of heuristics, and the Church-Turing Thesis of Computability Theory. There is, consistently, an emphasis on the historical origins of the concepts Simon worked with, in emphasising Human Problem Solving and Decision Making – by rational individuals and institutions (like Organizations). The main feature of the results in the book are its emphasis on the procedural aspects of human problem solving, decision making and the remarkable way Simon harnessed many tools of mathematical logic, mathematics, cognitive sciences, economics and econometrics. This long-awaited volume is an important read for those who study economic theory and philosophy, microeconomics and political economy, as well as those interested in the great Herbert Simon’s work.

Computability, Complexity and Constructivity in Economic Analysis

Author : K. Vela Velupillai
Publisher : Wiley-Blackwell
ISBN 13 : 9781405130783
Total Pages : 336 pages
Book Rating : 4.1/5 (37 download)

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Book Synopsis Computability, Complexity and Constructivity in Economic Analysis by : K. Vela Velupillai

Download or read book Computability, Complexity and Constructivity in Economic Analysis written by K. Vela Velupillai and published by Wiley-Blackwell. This book was released on 2005-05-13 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This cutting-edge collection of essays develops an economic theory based on the mathematics of the digital computer. A cutting-edge collection of essays, which develops an economic theory based on the mathematics of the digital computer. Proposes a wholly different mathematical foundation for economic theory and applied economics. The contributors supply explicit formalizations and applications to traditional issues in economic analysis. Each chapter presents new theoretical perspectives and results, and novel conceptual definitions.

Keynesian, Sraffian, Computable and Dynamic Economics

Author : Kumaraswamy Velupillai
Publisher : Springer Nature
ISBN 13 : 3030581314
Total Pages : 447 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Keynesian, Sraffian, Computable and Dynamic Economics by : Kumaraswamy Velupillai

Download or read book Keynesian, Sraffian, Computable and Dynamic Economics written by Kumaraswamy Velupillai and published by Springer Nature. This book was released on 2021-03-08 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores an alternative approach to the conventional, market-based, view of economic theory and economic policy, at theoretical, numerical and applicable levels. The chapters provide a theoretical, empirical, and algorithmic approach to marcodynamics, Sraffian economics, and current policy issues. Post-Keynesian macroeconomics, business cycle theory, the trade cycle, microfoundations, and the Philips Machine are also covered. This book aims to challenge orthodox ideas and provide a lens through which to honour the work of Stefano Zambelli. It will be of relevant to students and academics interested in economics.

Computable Economics

Author : Kumaraswamy Velupillai
Publisher :
ISBN 13 : 9780191596988
Total Pages : 222 pages
Book Rating : 4.5/5 (969 download)

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Book Synopsis Computable Economics by : Kumaraswamy Velupillai

Download or read book Computable Economics written by Kumaraswamy Velupillai and published by . This book was released on 2000 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text implements a theoretical research programme on computability in the formation of economic hypotheses. It argues that a recursion theoretic formalization of economic analysis makes the subject intrinsically inductive and computational.

A Computable Universe

Author : Hector Zenil
Publisher : World Scientific
ISBN 13 : 9814374296
Total Pages : 855 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis A Computable Universe by : Hector Zenil

Download or read book A Computable Universe written by Hector Zenil and published by World Scientific. This book was released on 2013 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses the foundations of computation in relation to nature. It focuses on two main questions: What is computation? and How does nature compute?

Foundations and Applications of Complexity Economics

Author : J. Barkley Rosser, Jr.
Publisher : Springer Nature
ISBN 13 : 3030706680
Total Pages : 174 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Foundations and Applications of Complexity Economics by : J. Barkley Rosser, Jr.

Download or read book Foundations and Applications of Complexity Economics written by J. Barkley Rosser, Jr. and published by Springer Nature. This book was released on 2021-05-21 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computable, Constructive & Behavioural Economic Dynamics

Author : Stefano Zambelli
Publisher : Routledge
ISBN 13 : 1135272522
Total Pages : 901 pages
Book Rating : 4.1/5 (352 download)

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Book Synopsis Computable, Constructive & Behavioural Economic Dynamics by : Stefano Zambelli

Download or read book Computable, Constructive & Behavioural Economic Dynamics written by Stefano Zambelli and published by Routledge. This book was released on 2010-02-25 with total page 901 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Philosophy of Mathematics and Economics

Author : Thomas A. Boylan
Publisher : Routledge
ISBN 13 : 1351124579
Total Pages : 242 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Philosophy of Mathematics and Economics by : Thomas A. Boylan

Download or read book Philosophy of Mathematics and Economics written by Thomas A. Boylan and published by Routledge. This book was released on 2018-04-09 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the failure of economics to predict the recent economic crisis, the image of economics as a rigorous mathematical science has been subjected to increasing interrogation. One explanation for this failure is that the subject took a wrong turn in its historical trajectory, becoming too mathematical. Using the philosophy of mathematics, this unique book re-examines this trajectory. Philosophy of Mathematics and Economics re-analyses the divergent rationales for mathematical economics by some of its principal architects. Yet, it is not limited to simply enhancing our understanding of how economics became an applied mathematical science. The authors also critically evaluate developments in the philosophy of mathematics to expose the inadequacy of aspects of mainstream mathematical economics, as well as exploiting the same philosophy to suggest alternative ways of rigorously formulating economic theory for our digital age. This book represents an innovative attempt to more fully understand the complexity of the interaction between developments in the philosophy of mathematics and the process of formalisation in economics. Assuming no expert knowledge in the philosophy of mathematics, this work is relevant to historians of economic thought and professional philosophers of economics. In addition, it will be of great interest to those who wish to deepen their appreciation of the economic contours of contemporary society. It is also hoped that mathematical economists will find this work informative and engaging.

A Reflection on Sraffa’s Revolution in Economic Theory

Author : Ajit Sinha
Publisher : Springer Nature
ISBN 13 : 303047206X
Total Pages : 611 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis A Reflection on Sraffa’s Revolution in Economic Theory by : Ajit Sinha

Download or read book A Reflection on Sraffa’s Revolution in Economic Theory written by Ajit Sinha and published by Springer Nature. This book was released on 2021-06-02 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a substantial collection of essays from a wide range of well respected scholars addressing several aspects of Piero Sraffa’s economics in light of continuing controversies over the interpretation that should be placed on his work. It moves beyond extant scholarship with an added emphasis on the philosophical dimension of Sraffa’s seminal work, Production of Commodities by Means of Commodities. Contributors probe new ways of thinking about the political economy of Sraffa and in doing so, alongside the comments to each contribution by other scholars, provide a cutting edge debate and discussion on non-mainstream economic theory. This book will be of interest to academics and advanced graduate students in economics, with additional interest from scholars in philosophy and the methodology of science.

The Oxford Handbook of Computational Economics and Finance

Author : Shu-Heng Chen
Publisher : Oxford University Press
ISBN 13 : 0199844380
Total Pages : pages
Book Rating : 4.1/5 (998 download)

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Book Synopsis The Oxford Handbook of Computational Economics and Finance by : Shu-Heng Chen

Download or read book The Oxford Handbook of Computational Economics and Finance written by Shu-Heng Chen and published by Oxford University Press. This book was released on 2018-01-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The Oxford Handbook of Computational Economics and Finance provides a survey of both the foundations of and recent advances in the frontiers of analysis and action. It is both historically and interdisciplinarily rich and also tightly connected to the rise of digital society. It begins with the conventional view of computational economics, including recent algorithmic development in computing rational expectations, volatility, and general equilibrium. It then moves from traditional computing in economics and finance to recent developments in natural computing, including applications of nature-inspired intelligence, genetic programming, swarm intelligence, and fuzzy logic. Also examined are recent developments of network and agent-based computing in economics. How these approaches are applied is examined in chapters on such subjects as trading robots and automated markets. The last part deals with the epistemology of simulation in its trinity form with the integration of simulation, computation, and dynamics. Distinctive is the focus on natural computationalism and the examination of the implications of intelligent machines for the future of computational economics and finance. Not merely individual robots, but whole integrated systems are extending their "immigration" to the world of Homo sapiens, or symbiogenesis.

Hahn and Economic Methodology

Author : Thomas Boylan
Publisher : Routledge
ISBN 13 : 1136462015
Total Pages : 206 pages
Book Rating : 4.1/5 (364 download)

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Book Synopsis Hahn and Economic Methodology by : Thomas Boylan

Download or read book Hahn and Economic Methodology written by Thomas Boylan and published by Routledge. This book was released on 2012-03-15 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hahn on Methodology: The Quest for Understanding addresses two fundamental questions: (i) what is distinctive about economic theorising?; (ii) what is the cognitive value of the outcome of this activity of economic theorising, i.e. economic theory. We will argue that for Hahn, economic theorising is distinctive with respect to four dimensions. Firstly, the aim of economic theory is neither to describe nor explain the real economic world, as in the physical sciences. Rather the aim is to achieve objective, but non-scientific, understanding. Secondly, the central question for economic theory remains for Hahn how to understand, but not to predict as in physics for instance, how decentralised choices interact and perhaps get co-ordinated. Thirdly, Hahn identifies ‘three commitments’ without which, he argues, economic theorising for him is not possible. Finally, economic theorising has a distinctive approach, which Hahn calls its ‘grammar of argumentation’ .