Evolutionary Game Dynamics

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Evolutionary Game Dynamics

Author : American Mathematical Society. Short Course
Publisher : American Mathematical Soc.
ISBN 13 : 0821853260
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Evolutionary Game Dynamics by : American Mathematical Society. Short Course

Download or read book Evolutionary Game Dynamics written by American Mathematical Society. Short Course and published by American Mathematical Soc.. This book was released on 2011-10-27 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on lectures delivered at the 2011 AMS Short Course on Evolutionary Game Dynamics, held January 4-5, 2011 in New Orleans, Louisiana. Evolutionary game theory studies basic types of social interactions in populations of players. It combines the strategic viewpoint of classical game theory (independent rational players trying to outguess each other) with population dynamics (successful strategies increase their frequencies). A substantial part of the appeal of evolutionary game theory comes from its highly diverse applications such as social dilemmas, the evolution of language, or mating behaviour in animals. Moreover, its methods are becoming increasingly popular in computer science, engineering, and control theory. They help to design and control multi-agent systems, often with a large number of agents (for instance, when routing drivers over highway networks or data packets over the Internet). While these fields have traditionally used a top down approach by directly controlling the behaviour of each agent in the system, attention has recently turned to an indirect approach allowing the agents to function independently while providing incentives that lead them to behave in the desired way. Instead of the traditional assumption of equilibrium behaviour, researchers opt increasingly for the evolutionary paradigm and consider the dynamics of behaviour in populations of agents employing simple, myopic decision rules.

Population Games and Evolutionary Dynamics

Author : William H. Sandholm
Publisher : MIT Press
ISBN 13 : 0262195879
Total Pages : 618 pages
Book Rating : 4.2/5 (621 download)

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Book Synopsis Population Games and Evolutionary Dynamics by : William H. Sandholm

Download or read book Population Games and Evolutionary Dynamics written by William H. Sandholm and published by MIT Press. This book was released on 2010-12-17 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary game theory studies the behaviour of large populations of strategically interacting agents & is used by economists to predict in settings where traditional assumptions about the rationality of agents & knowledge may be inapplicable.

Evolutionary Games and Population Dynamics

Author : Josef Hofbauer
Publisher : Cambridge University Press
ISBN 13 : 9780521625708
Total Pages : 356 pages
Book Rating : 4.6/5 (257 download)

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Book Synopsis Evolutionary Games and Population Dynamics by : Josef Hofbauer

Download or read book Evolutionary Games and Population Dynamics written by Josef Hofbauer and published by Cambridge University Press. This book was released on 1998-05-28 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every form of behaviour is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realised how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centred not on the concept of rational players but on the population dynamics of behavioural programmes. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behaviour, and of the closely related interactions between species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions which can alter the basis of their success, i.e. to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions which punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms.

Evolutionary Games and Equilibrium Selection

Author : Larry Samuelson
Publisher : MIT Press
ISBN 13 : 9780262692199
Total Pages : 332 pages
Book Rating : 4.6/5 (921 download)

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Book Synopsis Evolutionary Games and Equilibrium Selection by : Larry Samuelson

Download or read book Evolutionary Games and Equilibrium Selection written by Larry Samuelson and published by MIT Press. This book was released on 1997 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author examines the interplay between evolutionary game theory and the equilibrium selection problem in noncooperative games. Evolutionary game theory is one of the most active and rapidly growing areas of research in economics. Unlike traditional game theory models, which assume that all players are fully rational and have complete knowledge of details of the game, evolutionary models assume that people choose their strategies through a trial-and-error learning process in which they gradually discover that some strategies work better than others. In games that are repeated many times, low-payoff strategies tend to be weeded out, and an equilibrium may emerge. Larry Samuelson has been one of the main contributors to the evolutionary game theory literature. In Evolutionary Games and Equilibrium Selection, he examines the interplay between evolutionary game theory and the equilibrium selection problem in noncooperative games. After providing an overview of the basic issues of game theory and a presentation of the basic models, the book addresses evolutionary stability, the dynamics of sample paths, the ultimatum game, drift, noise, backward and forward induction, and strict Nash equilibria.

Evolutionary Dynamics

Author : Martin A. Nowak
Publisher : Harvard University Press
ISBN 13 : 0674417755
Total Pages : 390 pages
Book Rating : 4.6/5 (744 download)

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Book Synopsis Evolutionary Dynamics by : Martin A. Nowak

Download or read book Evolutionary Dynamics written by Martin A. Nowak and published by Harvard University Press. This book was released on 2006-09-29 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Evolutionary Game Theory

Author : Jörgen W. Weibull
Publisher : MIT Press
ISBN 13 : 9780262731218
Total Pages : 292 pages
Book Rating : 4.7/5 (312 download)

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Book Synopsis Evolutionary Game Theory by : Jörgen W. Weibull

Download or read book Evolutionary Game Theory written by Jörgen W. Weibull and published by MIT Press. This book was released on 1997 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Stability Concept of Evolutionary Game Theory

Author : Ross Cressman
Publisher : Springer Science & Business Media
ISBN 13 : 3642499813
Total Pages : 137 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis The Stability Concept of Evolutionary Game Theory by : Ross Cressman

Download or read book The Stability Concept of Evolutionary Game Theory written by Ross Cressman and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Notes grew from my research in evolutionary biology, specifically on the theory of evolutionarily stable strategies (ESS theory), over the past ten years. Personally, evolutionary game theory has given me the opportunity to transfer my enthusiasm for abstract mathematics to more practical pursuits. I was fortunate to have entered this field in its infancy when many biologists recognized its potential but were not prepared to grant it general acceptance. This is no longer the case. ESS theory is now a rapidly expanding (in both applied and theoretical directions) force that no evolutionary biologist can afford to ignore. Perhaps, to continue the life-cycle metaphor, ESS theory is now in its late adolescence and displays much of the optimism and exuberance of this exciting age. There are dangers in writing a text about a theory at this stage of development. A comprehensive treatment would involve too many loose ends for the reader to appreciate the central message. On the other hand, the current central message may soon become obsolete as the theory matures. Although the restricted topics I have chosen for this text reflect my own research bias, I am confident they will remain the theoretical basis of ESS theory. Indeed, I feel the adult maturity of ESS theory is close at hand and I hope the text will play an important role in this achievement.

Fundamentals of Evolutionary Game Theory and its Applications

Author : Jun Tanimoto
Publisher : Springer
ISBN 13 : 4431549625
Total Pages : 223 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Fundamentals of Evolutionary Game Theory and its Applications by : Jun Tanimoto

Download or read book Fundamentals of Evolutionary Game Theory and its Applications written by Jun Tanimoto and published by Springer. This book was released on 2015-10-23 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book both summarizes the basic theory of evolutionary games and explains their developing applications, giving special attention to the 2-player, 2-strategy game. This game, usually termed a "2×2 game” in the jargon, has been deemed most important because it makes it possible to posit an archetype framework that can be extended to various applications for engineering, the social sciences, and even pure science fields spanning theoretical biology, physics, economics, politics, and information science. The 2×2 game is in fact one of the hottest issues in the field of statistical physics. The book first shows how the fundamental theory of the 2×2 game, based on so-called replicator dynamics, highlights its potential relation with nonlinear dynamical systems. This analytical approach implies that there is a gap between theoretical and reality-based prognoses observed in social systems of humans as well as in those of animal species. The book explains that this perceived gap is the result of an underlying reciprocity mechanism called social viscosity. As a second major point, the book puts a sharp focus on network reciprocity, one of the five fundamental mechanisms for adding social viscosity to a system and one that has been a great concern for study by statistical physicists in the past decade. The book explains how network reciprocity works for emerging cooperation, and readers can clearly understand the existence of substantial mechanics when the term "network reciprocity" is used. In the latter part of the book, readers will find several interesting examples in which evolutionary game theory is applied. One such example is traffic flow analysis. Traffic flow is one of the subjects that fluid dynamics can deal with, although flowing objects do not comprise a pure fluid but, rather, are a set of many particles. Applying the framework of evolutionary games to realistic traffic flows, the book reveals that social dilemma structures lie behind traffic flow.

Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics

Author : Thomas L. Vincent
Publisher : Cambridge University Press
ISBN 13 : 9781107406513
Total Pages : 0 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics by : Thomas L. Vincent

Download or read book Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics written by Thomas L. Vincent and published by Cambridge University Press. This book was released on 2012-08-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: All of life is a game, and evolution by natural selection is no exception. The evolutionary game theory developed in this 2005 book provides the tools necessary for understanding many of nature's mysteries, including co-evolution, speciation, extinction and the major biological questions regarding fit of form and function, diversity, procession, and the distribution and abundance of life. Mathematics for the evolutionary game are developed based on Darwin's postulates leading to the concept of a fitness generating function (G-function). G-function is a tool that simplifies notation and plays an important role developing Darwinian dynamics that drive natural selection. Natural selection may result in special outcomes such as the evolutionarily stable strategy (ESS). An ESS maximum principle is formulated and its graphical representation as an adaptive landscape illuminates concepts such as adaptation, Fisher's Fundamental Theorem of Natural Selection, and the nature of life's evolutionary game.

Evolution, Games, and God

Author : Martin A. Nowak
Publisher : Harvard University Press
ISBN 13 : 0674075536
Total Pages : 398 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis Evolution, Games, and God by : Martin A. Nowak

Download or read book Evolution, Games, and God written by Martin A. Nowak and published by Harvard University Press. This book was released on 2013-05-07 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the reigning competition-driven model of evolution, selfish behaviors that maximize an organism’s reproductive potential offer a fitness advantage over self-sacrificing behaviors—rendering unselfish behavior for the sake of others a mystery that requires extra explanation. Evolution, Games, and God addresses this conundrum by exploring how cooperation, working alongside mutation and natural selection, plays a critical role in populations from microbes to human societies. Inheriting a tendency to cooperate, argue the contributors to this book, may be as beneficial as the self-preserving instincts usually thought to be decisive in evolutionary dynamics. Assembling experts in mathematical biology, history of science, psychology, philosophy, and theology, Martin Nowak and Sarah Coakley take an interdisciplinary approach to the terms “cooperation” and “altruism.” Using game theory, the authors elucidate mechanisms by which cooperation—a form of working together in which one individual benefits at the cost of another—arises through natural selection. They then examine altruism—cooperation which includes the sometimes conscious choice to act sacrificially for the collective good—as a key concept in scientific attempts to explain the origins of morality. Discoveries in cooperation go beyond the spread of genes in a population to include the spread of cultural transformations such as languages, ethics, and religious systems of meaning. The authors resist the presumption that theology and evolutionary theory are inevitably at odds. Rather, in rationally presenting a number of theological interpretations of the phenomena of cooperation and altruism, they find evolutionary explanation and theology to be strongly compatible.

Evolution and the Theory of Games

Author : John Maynard Smith
Publisher : Cambridge University Press
ISBN 13 : 9780521288842
Total Pages : 244 pages
Book Rating : 4.2/5 (888 download)

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Book Synopsis Evolution and the Theory of Games by : John Maynard Smith

Download or read book Evolution and the Theory of Games written by John Maynard Smith and published by Cambridge University Press. This book was released on 1982-10-21 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1982 book is an account of an alternative way of thinking about evolution and the theory of games.

Game-Theoretical Models in Biology

Author : Mark Broom
Publisher : CRC Press
ISBN 13 : 1439853215
Total Pages : 522 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Game-Theoretical Models in Biology by : Mark Broom

Download or read book Game-Theoretical Models in Biology written by Mark Broom and published by CRC Press. This book was released on 2013-03-27 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. In addition, the authors explore many applications of game theory to biology, making the text useful to biologists as well. The book describes a wide range of topics in evolutionary games, including matrix games, replicator dynamics, the hawk-dove game, and the prisoner’s dilemma. It covers the evolutionarily stable strategy, a key concept in biological games, and offers in-depth details of the mathematical models. Most chapters illustrate how to use MATLAB® to solve various games. Important biological phenomena, such as the sex ratio of so many species being close to a half, the evolution of cooperative behavior, and the existence of adornments (for example, the peacock’s tail), have been explained using ideas underpinned by game theoretical modeling. Suitable for readers studying and working at the interface of mathematics and the life sciences, this book shows how evolutionary game theory is used in the modeling of these diverse biological phenomena.

The Theory of Learning in Games

Author : Drew Fudenberg
Publisher : MIT Press
ISBN 13 : 9780262061940
Total Pages : 304 pages
Book Rating : 4.0/5 (619 download)

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Book Synopsis The Theory of Learning in Games by : Drew Fudenberg

Download or read book The Theory of Learning in Games written by Drew Fudenberg and published by MIT Press. This book was released on 1998 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work explains that equilibrium is the long-run outcome of a process in which non-fully rational players search for optimality over time. The models they e×plore provide a foundation for equilibrium theory and suggest ways for economists to evaluate and modify traditional equilibrium concepts.

Evolutionary Games and Poverty Traps

Author : Edgar J. Sánchez Carrera
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1443886343
Total Pages : 144 pages
Book Rating : 4.4/5 (438 download)

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Book Synopsis Evolutionary Games and Poverty Traps by : Edgar J. Sánchez Carrera

Download or read book Evolutionary Games and Poverty Traps written by Edgar J. Sánchez Carrera and published by Cambridge Scholars Publishing. This book was released on 2015-11-25 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores how persistent states of underdevelopment can arise in strategic environments in which players are imitative rather than fully rational. Standard growth theory teaches that poverty traps are stable, low-level balanced growth paths to which economies gravitate due to adverse initial conditions or poor equilibrium selection. In other words, societies fail to take off into sustained growth because they started out as poor, with, for example, low longevity or poor human capital, or because they cannot invent institutions that successfully coordinate their investments. Evolutionary Games and Poverty Traps explains this pernicious form of coordination failure as a game between economic agents, such as, for example, firms investing in research and development and workers investing in human capital. Rates of return on research and development depend on average human capital, and rates of return on human capital depend on aggregate research and development spending. The outcome is a self-confirming equilibrium in evolutionary stable strategies in which unsuccessful players imitate successful ones. This equilibrium is particularly interesting in that in poor economies with a large fraction of low-human-capital workers or low research and development firms, imitative strategies do not support a take-off into sustained growth. To achieve such a take-off, society should subsidize the cost of education or research and development until the economy builds a critical mass of human capital or research and development.

Handbook of Dynamic Game Theory

Author : Tamer Basar
Publisher :
ISBN 13 : 9783319273358
Total Pages : pages
Book Rating : 4.2/5 (733 download)

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Book Synopsis Handbook of Dynamic Game Theory by : Tamer Basar

Download or read book Handbook of Dynamic Game Theory written by Tamer Basar and published by . This book was released on 19?? with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Résumé : "This will be a two-part handbook on Dynamic Game Theory and part of the Springer Reference program. Part I will be on the fundamentals and theory of dynamic games. It will serve as a quick reference and a source of detailed exposure to topics in dynamic games for a broad community of researchers, educators, practitioners, and students. Each topic will be covered in 2-3 chapters with one introducing basic theory and the other one or two covering recent advances and/or special topics. Part II will be on applications in fields such as economics, management science, engineering, biology, and the social sciences."

Game Theory Evolving

Author : Herbert Gintis
Publisher : Princeton University Press
ISBN 13 : 9780691009438
Total Pages : 576 pages
Book Rating : 4.0/5 (94 download)

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Book Synopsis Game Theory Evolving by : Herbert Gintis

Download or read book Game Theory Evolving written by Herbert Gintis and published by Princeton University Press. This book was released on 2000 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of strategic action (game theory) is moving from a formal science of rational behavior to an evolutionary tool kit for studying behavior in a broad array of social settings. In this problem-oriented introduction to the field, Herbert Gintis exposes students to the techniques and applications of game theory through a wealth of sophisticated and surprisingly fun-to-solve problems involving human (and even animal) behavior. Game Theory Evolving is innovative in several ways. First, it reflects game theory's expansion into such areas as cooperation in teams, networks, the evolution and diffusion of preferences, the connection between biology and economics, artificial life simulations, and experimental economics. Second, the book--recognizing that students learn by doing and that most game theory texts are weak on problems--is organized around problems, and introduces principles through practice. Finally, the quality of the problems is simply unsurpassed, and each chapter provides a study plan for instructors interested in teaching evolutionary game theory. Reflecting the growing consensus that in many important contexts outside of anonymous markets, human behavior is not well described by classical "rationality," Gintis shows students how to apply game theory to model how people behave in ways that reflect the special nature of human sociality and individuality. This book is perfect for upper undergraduate and graduate economics courses as well as a terrific introduction for ambitious do-it-yourselfers throughout the behavioral sciences.

Encyclopedia of Complexity and Systems Science

Author :
Publisher : Springer
ISBN 13 : 9780387758886
Total Pages : 10398 pages
Book Rating : 4.7/5 (588 download)

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Book Synopsis Encyclopedia of Complexity and Systems Science by :

Download or read book Encyclopedia of Complexity and Systems Science written by and published by Springer. This book was released on 2009-06-26 with total page 10398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This encyclopedia provides an authoritative single source for understanding and applying the concepts of complexity theory together with the tools and measures for analyzing complex systems in all fields of science and engineering. It links fundamental concepts of mathematics and computational sciences to applications in the physical sciences, engineering, biomedicine, economics and the social sciences.