This systematic book covers in simple language the physical foundations of evolution equations, stochastic processes and generalized Master equations applied on complex economic systems, helping to understand the large variability of financial markets, trading and communications networks.

This book systematically provides a prospective integrated approach for complexity social science in its view of statistical physics and mathematics, with an impressive collection of the knowledge and expertise of leading researchers from all over the world. The book mainly covers both finitary methods of statistical equilibrium and data-driven analysis by econophysics. The late Professor Masanao Aoki of UCLA, who passed away at the end of July 2018, in his later years dedicated himself to the reconstruction of macroeconomics mainly in terms of statistical physics. Professor Aoki, who was already an IEEE fellow, was also named an Econometric Society Fellow in 1979. Until the early 1990s, however, his contributions were focused on the new developments of a novel algorithm for the time series model and their applications to economic data. Those contributions were undoubtedly equivalent to the Nobel Prize-winning work of Granger's "co-integration method". After the publications of his New Approaches to Macroeconomic Modeling and Modeling Aggregate Behavior and Fluctuations in Economics, both published by Cambridge University Press, in 1996 and 2002, respectively, his contributions rapidly became known and spread throughout the field. In short, these new works challenged econophysicists to develop evolutionary stochastic dynamics, multiple equilibria, and externalities as field effects and revolutionized the stochastic views of interacting agents. In particular, the publication of Reconstructing Macroeconomics, also by Cambridge University Press (2007), in cooperation with Hiroshi Yoshikawa, further sharpened the process of embodying “a perspective from statistical physics and combinatorial stochastic processes” in economic modeling. Interestingly, almost concurrently with Prof. Aoki’s newest development, similar approaches were appearing. Thus, those who were working in the same context around the world at that time came together, exchanging their results during the past decade. In memory of Prof. Aoki, this book has been planned by authors who followed him to present the most advanced outcomes of his heritage.

The economy is examined by the authors as a complex interactive system. The emphasis is on the direct interaction between agents rather than on the indirect and autonomous interaction through the market mechanism. Contributions from economists and physicists emphasise the consequences for aggregate behaviour of the interaction between agents with limited rationality. Models of financial markets which exhibit many of the stylised facts of empirical markets such as bubbles, herd behaviour and long memory are presented. This includes contributions on bargaining, buyer-seller relations, the evolution of economic networks and several aspects of macro-economic behaviour. This book will be of interest to all those interested in the foundations of collective social and economic behaviour and in particular, to those concerned with the dynamics of market behaviour and recent applications of physics to economics.

This book provides the first extensive analytic comparison between models and results from econophysics and financial economics in an accessible and common vocabulary. Unlike other publications dedicated to econophysics, it situates this field in the evolution of financial economics by laying the foundations for common theoretical framework and models.

The social sciences study knowing subjects and their interactions. A "cog nitive turn", based on cognitive science, has the potential to enrich these sciences considerably. Cognitive economics belongs within this movement of the social sciences. It aims to take into account the cognitive processes of individuals in economic theory, both on the level of the agent and on the level of their dynamic interactions and the resulting collective phenomena. This is an ambitious research programme that aims to link two levels of com plexity: the level of cognitive phenomena as studied and tested by cognitive science, and the level of collective phenomena produced by the economic in teractions between agents. Such an objective requires cooperation, not only between economists and cognitive scientists but also with mathematicians, physicists and computer scientists, in order to renew, study and simulate models of dynamical systems involving economic agents and their cognitive mechanisms. The hard core of classical economics is the General Equilibrium Theory, based on the optimising rationality of the agent and on static concepts of equilibrium, following a point of view systemised in the framework of Game Theory. The agent is considered "rational" if everything takes place as if he was maximising a function representing his preferences, his utility function.

In recent years, as part of the increasing “informationization” of industry and the economy, enterprises have been accumulating vast amounts of detailed data such as high-frequency transaction data in nancial markets and point-of-sale information onindividualitems in theretail sector. Similarly,vast amountsof data arenow ava- able on business networks based on inter rm transactions and shareholdings. In the past, these types of information were studied only by economists and management scholars. More recently, however, researchers from other elds, such as physics, mathematics, and information sciences, have become interested in this kind of data and, based on novel empirical approaches to searching for regularities and “laws” akin to those in the natural sciences, have produced intriguing results. This book is the proceedings of the international conference THICCAPFA7 that was titled “New Approaches to the Analysis of Large-Scale Business and E- nomic Data,” held in Tokyo, March 1–5, 2009. The letters THIC denote the Tokyo Tech (Tokyo Institute of Technology)–Hitotsubashi Interdisciplinary Conference. The conference series, titled APFA (Applications of Physics in Financial Analysis), focuses on the analysis of large-scale economic data. It has traditionally brought physicists and economists together to exchange viewpoints and experience (APFA1 in Dublin 1999, APFA2 in Liege ` 2000, APFA3 in London 2001, APFA4 in Warsaw 2003, APFA5 in Torino 2006, and APFA6 in Lisbon 2007). The aim of the conf- ence is to establish fundamental analytical techniques and data collection methods, taking into account the results from a variety of academic disciplines.

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.

The remarkable evolution of econophysics research has brought the deep synthesis of ideas derived from economics and physics to subjects as diverse as education, banking, finance, and the administration of large institutions. The original papers in this collection present a broad summary of these advances, written by interdisciplinary specialists. Included are studies on subjects in the development of econophysics; on the perspectives offered by econophysics on large problems in economics and finance, including the 2008-9 financial crisis; and on higher education and group decision making. The introductions and insights they provide will benefit everyone interested in applications of this new transdisciplinary science. Ten papers present an updated version of the origins, issues, and applications of econophysics Economics and finance chapters consider lessons learned from the 2008-9 financial crisis Sociophysics chapters propose new thinking on educational reforms and group decision making

This book explains how standard micro-founded macroeconomics is misguided and proposes an alternative method based on statistical physics. The Great Recession following the bankruptcy of Lehman Brothers in September 2015 amply demonstrated that mainstream micro-founded macroeconomics was in trouble. The new approach advanced in this book reasonably explains important macro-problems such as employment, business cycles, growth, and inflation/deflation. The key concept is demand failures, which modern micro-founded macroeconomics has ignored. “It (Chapter 3) captures analytically a good part of the intuition that underlies the Keynesian economics of people like Tobin and me.” Robert Solow, Emeritus Institute Professor of Economics, Massachusetts Institute of Technology, Nobel Laureate in Economics, 1987 “Professor Hiroshi Yoshikawa provides a unique synthesis of statistical physics and macro-economic theory in order to confront the dismal failure in economics and in finance to understand how an economy or a financial market works, given the heterogeneous decision making of many different individual interacting actors. Economics has failed in this regard with the naive and often misleading concept of “representative agents.” The author presents many insights on the historical development, concepts, and errors made by the most illustrious economists in the past. This book should be essential readings for any economics students as well as academic researchers and policy makers, who should learn to bring back good-sense thinking in their impactful decisions.” Didier Sornette, Professor on the Chair of Entrepreneurial Risks at the Swiss Federal Institute of Technology Zurich (ETH Zurich)

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.