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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...
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 work...
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 i...
Advanced Macroeconomics: An Alternative Approach surveys the growth and development of macroeconomics, beginning with Wicksell’s codification of its main elements. Covering 120 years of rigorous curiosity, it guides readers toward clearly described frontiers by developing macroeconomic theories with the help of algorithmic mathematics, not externally-developed real analysis and mathematical logic irrelevant to macroeconomics. Avoiding an excessive homogeneity of perspectives, it reveals new perspectives about economic phenomena by challenging readers to use new or alternative methodologies. Early chapters cover standard approaches, enabling readers to appreciate innovations. Advanced Macroeconomics: An Alternative Approach uses mathematics based on aspects of computability theory, constructive mathematics, and associated simulation techniques. Includes end-of-section questions with answers Provides Matlab simulations on a freely-accessible website Offers framing summaries and explanations that increase accessibility to alternative theories and applications
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.
Computational intelligence, a sub-branch of artificial intelligence, is a field which draws on the natural world and adaptive mechanisms in order to study behaviour in changing complex environments. This book provides an interdisciplinary view of current technological advances and challenges concerning the application of computational intelligence techniques to financial time-series forecasting, trading and investment. The book is divided into five parts. The first part introduces the most important computational intelligence and financial trading concepts, while also presenting the most important methodologies from these different domains. The second part is devoted to the application of tr...
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 r...
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
This book questions the relevance of computation to the physical universe. Our theories deliver computational descriptions, but the gaps and discontinuities in our grasp suggest a need for continued discourse between researchers from different disciplines, and this book is unique in its focus on the mathematical theory of incomputability and its relevance for the real world. The core of the book consists of thirteen chapters in five parts on extended models of computation; the search for natural examples of incomputable objects; mind, matter, and computation; the nature of information, complexity, and randomness; and the mathematics of emergence and morphogenesis. This book will be of interest to researchers in the areas of theoretical computer science, mathematical logic, and philosophy.
The Routledge International Handbook of Complexity Economics covers the historical developments and early concerns of complexity theorists and brings them into engagement with the world today. In this volume, a distinguished group of international scholars explore the state of the art of complexity economics, and how it may deliver new and relevant insights to the challenges of the 21st century. Complexity science started in 1899 when Henri Poincaré described the three-body problem. The first approaches in economics emerged somewhat later, in the 1980s, driven by the Brussels-Austin school. Since then, complexity economics has gone through numerous developments: departing from linear simpli...