Author: Martin A. Nowak
Publisher: Harvard University Press
ISBN: 0674417755
Category : Science
Languages : en
Pages : 390
Get Book Here
Book Description
At a time of unprecedented expansion in the life sciences, evolution is the one theory that transcends all of biology. Any observation of a living system must ultimately be interpreted in the context of its evolution. Evolutionary change is the consequence of mutation and natural selection, which are two concepts that can be described by mathematical equations. Evolutionary Dynamics is concerned with these equations of life. In this book, Martin A. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His work introduces readers to the powerful yet simple laws that govern the evolution of living systems, no matter how complicated they might seem. Evolution has become a mathematical theory, Nowak suggests, and any idea of an evolutionary process or mechanism should be studied in the context of the mathematical equations of evolutionary dynamics. His book presents a range of analytical tools that can be used to this end: fitness landscapes, mutation matrices, genomic sequence space, random drift, quasispecies, replicators, the Prisoner’s Dilemma, games in finite and infinite populations, evolutionary graph theory, games on grids, evolutionary kaleidoscopes, fractals, and spatial chaos. Nowak then shows how evolutionary dynamics applies to critical real-world problems, including the progression of viral diseases such as AIDS, the virulence of infectious agents, the unpredictable mutations that lead to cancer, the evolution of altruism, and even the evolution of human language. His book makes a clear and compelling case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics.
Author: W. Brian Arthur
Publisher: CRC Press
ISBN: 0429965184
Category : Mathematics
Languages : en
Pages : 600
Get Book Here
Book Description
A new view of the economy as an evolving, complex system has been pioneered at the Santa Fe Institute over the last ten years, This volume is a collection of articles that shape and define this view?a view of the economy as emerging from the interactions of individual agents whose behavior constantly evolves, whose strategies and actions are always adapting.The traditional framework in economics portrays activity within an equilibrium steady state. The interacting agents in the economy are typically homogenous, solve well-defined problems using perfect rationality, and act within given legal and social structures. The complexity approach, by contrast, sees economic activity as continually changing?continually in process. The interacting agents are typically heterogeneous, they must cognitively interpret the problems they face, and together they create the structures?markets, legal and social institutions, price patters, expectations?to which they individually react. Such structures may never settle down. Agents may forever adapt and explore and evolve their behaviors within structures that continually emerge and change and disappear?structures these behaviors co-create. This complexity approach does not replace the equilibrium one?it complements it.The papers here collected originated at a recent conference at the Santa Fe Institute, which was called to follow up the well-known 1987 SFI conference organized by Philip Anderson, Kenneth Arrow, and David Pines. They survey the new study of complexity and the economy. They apply this approach to real economic problems and they show the extent to which the initial vision of the 1987 conference has come to fruition.
Author: Richard R. Nelson
Publisher: Harvard University Press
ISBN: 9780674041431
Category : Business & Economics
Languages : en
Pages : 456
Get Book Here
Book Description
This book contains the most sustained and serious attack on mainstream, neoclassical economics in more than forty years. Nelson and Winter focus their critique on the basic question of how firms and industries change overtime. They marshal significant objections to the fundamental neoclassical assumptions of profit maximization and market equilibrium, which they find ineffective in the analysis of technological innovation and the dynamics of competition among firms. To replace these assumptions, they borrow from biology the concept of natural selection to construct a precise and detailed evolutionary theory of business behavior. They grant that films are motivated by profit and engage in search for ways of improving profits, but they do not consider them to be profit maximizing. Likewise, they emphasize the tendency for the more profitable firms to drive the less profitable ones out of business, but they do not focus their analysis on hypothetical states of industry equilibrium. The results of their new paradigm and analytical framework are impressive. Not only have they been able to develop more coherent and powerful models of competitive firm dynamics under conditions of growth and technological change, but their approach is compatible with findings in psychology and other social sciences. Finally, their work has important implications for welfare economics and for government policy toward industry.
Author: Jean-Pierre Aubin
Publisher: Springer
ISBN:
Category : Business & Economics
Languages : en
Pages : 546
Get Book Here
Book Description
This book is intended to provide economists with mathematical tools necessary to handle the concepts of evolution under uncertainty and adaption arising in economics, pursuing the Arrow-Debreu-Hahn legacy. It applies the techniques of viability theory to the study of economic systems evolving under contingent uncertainty, faced with scarcity constraints, and obeying various implementation of the inertia principle. The book illustrates how new tools can be used to move from static analysis, built on concepts of optima, equilibria and attractors to a contingent dynamic framework.
Author: W. Brian Arthur
Publisher: Westview Press
ISBN:
Category : Business & Economics
Languages : en
Pages : 616
Get Book Here
Book Description
This volume is a collection of articles that shape and define a new view of the economy as an evolving complex system. This view is one of the economy as emerging from the interactions of individual agents whose behavior constantly evolves, whose strategies and actions are always adapting.
Author: Philip W. Anderson
Publisher: CRC Press
ISBN: 0429972474
Category : Mathematics
Languages : en
Pages : 232
Get Book Here
Book Description
This book proceeds from a meeting at the Santa Fe Institute where economists and physical and biological scientists came together to discuss a conceptual framework incorporating a more appropriate mathematics with a greatly strengthened capacity to deal simultaneously with multiple variables, nonlinearity, incomplete information and dynamical processes.
Author: G Gandolfo
Publisher: Elsevier
ISBN: 0444601228
Category : Technology & Engineering
Languages : en
Pages : 584
Get Book Here
Book Description
Economic Dynamics: Methods and Models aims to give a simple but comprehensive treatment of mathematical methods used in economic dynamics and show how they are utilized to build and to analyze dynamic models. The text also focuses on methods, and every mathematical technique introduced is followed by its application to selected models. The book is divided into three different parts. Part I: Different Equations discusses general principles; first-order, second-order, higher-order equations; simultaneous systems; and their economic applications. Part II: Differential Equations also discusses the same areas as those in Part I, but instead features differential equations, as what the section name suggests. Part III: More Advanced Material covers comparative statistics and the comparative principle; stability of equilibrium and Liapunov's second method; and linear mixed differential and difference equations, as well as its other related topics. The text is recommended for mathematicians and economists who have an idea on advanced mathematics and would like to know more about its applications in economics.
Author: Jörgen W. Weibull
Publisher: MIT Press
ISBN: 9780262731218
Category : Business & Economics
Languages : en
Pages : 292
Get Book Here
Book Description
Introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. This text introduces current evolutionary game theory--where ideas from evolutionary biology and rationalistic economics meet--emphasizing the links between static and dynamic approaches and noncooperative game theory. Much of the text is devoted to the key concepts of evolutionary stability and replicator dynamics. The former highlights the role of mutations and the latter the mechanisms of selection. Moreover, set-valued static and dynamic stability concepts, as well as processes of social evolution, are discussed. Separate background chapters are devoted to noncooperative game theory and the theory of ordinary differential equations. There are examples throughout as well as individual chapter summaries. Because evolutionary game theory is a fast-moving field that is itself branching out and rapidly evolving, Jörgen Weibull has judiciously focused on clarifying and explaining core elements of the theory in an up-to-date, comprehensive, and self-contained treatment. The result is a text for second-year graduate students in economic theory, other social sciences, and evolutionary biology. The book goes beyond filling the gap between texts by Maynard-Smith and Hofbauer and Sigmund that are currently being used in the field. Evolutionary Game Theory will also serve as an introduction for those embarking on research in this area as well as a reference for those already familiar with the field. Weibull provides an overview of the developments that have taken place in this branch of game theory, discusses the mathematical tools needed to understand the area, describes both the motivation and intuition for the concepts involved, and explains why and how it is relevant to economics.
Author: Carsten Herrmann-Pillath
Publisher: Edward Elgar Publishing
ISBN: 178254836X
Category : Business & Economics
Languages : en
Pages : 695
Get Book Here
Book Description
ÔThis book is an ambitious intellectual enterprise to build a naturalistic foundation for economics, with amazingly vast knowledge of physical, biological, social sciences and philosophy. Readers will discover that approaches and insights emergent in institutional studies, (social)-neuroscience, network theory, ecological economics, bio-culture dualistic evolution, etc. are persuasively placed in a grand unified frame. It is written in a good Hayekian tradition. I recommend this book particularly to young readers who aspire to go beyond a narrowly specified discipline in the age of expanding communicability of knowledge and ideas.Õ Ð Masahiko Aoki, Stanford University, US ÔCarsten Herrmann-PillathÕs new book is an in-depth application of natural philosophy to economics that draws up an entirely new framework for economic analysis. It offers path-breaking insights on the interactions between human economic activity and nature and outlines a convincing solution to the long-standing reductionism controversy. A must-read for everyone interested in the philosophical underpinnings of economics as a science.Õ Ð Ulrich Witt, Max Planck Institute of Economics, Jena, Germany ÔÒBig pictureÓ philosophy of economics drifted into a dull cul-de-sac as it became obsessively focused on falsifiability and rationality. In this book Carsten Herrmann-Pilath pushes the field back onto the open highway by locating economics in the larger frameworks of metaphysics, evolutionary dynamics and information theory. This is large-scale, ambitious synthesis of ideas of the kind we expect from time to time to see devoted to physics and biology. Why should economics merit anything less? But of course this kind of intellectual tapestry must await the appearance of an unusually devoted scholar with special patience and eccentric independence from the pressure for quick returns that characterizes academic life. In the person of Hermann-Pilath this scholar has appeared. No one who wants to examine economics whole and in its richest context should miss his virtuoso performance in this book.Õ Ð Don Ross, University of Cape Town, South Africa and Georgia State University, US ÔHerrmann-PillathÕs work attempts to bring to bear upon the discipline of economics perspectives from other discourses which have been burgeoning recently Ð namely, thermodynamics, evolutionary biology, and semiotics, aiming at a consilience contextualized by economic activity and problems. This marks the work as a contemporary example of natural philosophy, which is now at the doorstep of a revival. The overall perspective is that human economic activity is an aspect of the ecology of the earthÕs surface, viewing it as an evolving physical system mediated through distributed mentality as expressed in technology evolution. Knowledge is taken to be ÔphysicalÕ with a performative function, as in PeirceÕs pragmaticism. Thus, the social meanings of expectations, prices, and credit are found to be rooted in energy flows. The work draws its foundation from Hegel and C.S. Peirce and its immediate guidance from Hayek, Veblen and Georescu-Roegen. The author generates an energetic theory of economic growth, guided by OdumÕs maximum power principle. Economic discourse itself is reworked in the final chapter, in light of the examinations of the previous chapters, naturalizing economics within an extremely powerful contemporary framework.Õ Ð Stanley N. Salthe, Binghamton University, US ÔAn Oscar-winning performance in the Òtheatre of consilience.Ó ItÕs hard to know which to praise first: Carsten Herrmann-PillathÕs humility or his ambition. He says his book Òis not a great intellectual featÓ because he pursues the Òhumble taskÓ of putting together Òthe ideas of others.Ó When he finally gets to economics he tries to Òbe as simple as possibleÓ and to conceive of economics in terms of the basics, at Òundergraduate level, so to say.Ó On the other hand, the scale of his ambition is to rethink the foundations of economics from first principles, while, at the same time, holding a running dialogue between contemporary sciences and classic philosophy. HeÕs much too modest, of course, because Foundations is a major achievement, but his modesty points to what makes it such a powerful treatise: the book is not about his preferences or prejudices; it is a Òscientific approach that aims at establishing truthful propositions about reality.Ó That is much harder to achieve than grand theories or Òcomplicated mathematics,Ó because it amounts to a new modern synthesis of the field Ð an achievement on a par with Julian HuxleyÕs, whose own modern synthesis of evolutionary theories in the 1940s allowed for the explosive growth of the biosciences over the next decades. The structure of the book is simple enough, providing a framework for the Ònaturalistic turnÓ in economics. Starting from material existence, causation and evolution, Herrmann-Pillath takes us through four fundamental concepts Ð individuals, networks, institutions and technology Ð before coming finally to the Òrealm of economics proper,Ó i.e. markets. However, Herrmann-Pillath believes that the Òfoundations of economics cannot be found within economicsÓ but only in dialogue with other sciences, or what he calls the Òtheatre of consilience.Ó ItÕs a theatre in which various characters come and go, where dialogue ebbs and flows, conflicts arise and are resolved, and where individual actions can be seen as concepts as, leading to higher levels of meaning as the plot unfolds. The magic of theatre, of course, is that the point of intelligibility, where the characters, actions and narrative resolve into meaningfulness, is projected out of the drama itself, into the spectator. ThatÕs you, dear reader. So it is with economics as a discipline. Economics is a player in a much larger performance about what constitutes knowledge, and how we know that. It is also a player in the economy it seeks to explain. To understand why money, firms, growth, prices, markets and other staples of economic thought emerge and function the way they do, it is necessary situate the analysis beyond economics (and the economy), and to engage with developments across the human, evolutionary and complexity sciences. This is what Herrmann-Pillath does, analyzing a breathtaking range of illuminating and sometimes challenging work along the way. We are treated to new ideas about the externalized brain, the evolution of knowledge in the Earth System (i.e. not just among humans), the role of signs and performativity in these processes, as well as that of Òenergetic transformations.Ó But Herrmann-Pillath is not satisfied with the ÒmodestÓ task of bringing the best of modern scientific thought to bear on economic concepts and performances; he really does harbor a deeper purpose. The clue is in his apparently quixotic desire to hang on to philosophical insights associated with pre-evolutionary thinkers like Aristotle and Hegel, and his apparently eccentric desire to place the semiotic philosophy of C.S. Pierce at center stage. But the patient observer will see that he is not seeking to change the facts by imposing idealist notions on them after the event. Instead, he is arguing for a change in the way we perform ourselves in the face of these facts. He is looking for a modern-day equivalent of Confucius or Socrates: one who can imagine values and beliefs that Òdefine the human species in a new way.Ó For those who have eyes to see, as the drama unfolds, it may be that we have found such a figure in Carsten Herrmann-Pillath himself, modesty, ambition and all. This is ÒCultural ScienceÓ as it should be done.Õ Ð John Hartley, Curtin University, Australia and Cardiff University, UK
Author: Marco Lehmann-Waffenschmidt
Publisher: Springer Science & Business Media
ISBN: 3540686622
Category : Business & Economics
Languages : en
Pages : 265
Get Book Here
Book Description
This work uses various model frameworks to study the evolution of equilibria in an open loop evolving economy in which the model characteristics evolve without any directional restrictions except for continuity. Applying mathematical methods, it is shown that equilibria can always be adapted in a piecewise gradual, non bang-bang way.
