Evolutionary Dynamics And Backward Induction

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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 and Extensive Form Games

Author : Ross Cressman
Publisher : MIT Press
ISBN 13 : 9780262033053
Total Pages : 346 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Evolutionary Dynamics and Extensive Form Games by : Ross Cressman

Download or read book Evolutionary Dynamics and Extensive Form Games written by Ross Cressman and published by MIT Press. This book was released on 2003 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary game theory attempts to predict individual behavior (whether of humans or other species) when interactions between individuals are modeled as a noncooperative game. Most dynamic analyses of evolutionary games are based on their normal forms, despite the fact that many interesting games are specified more naturally through their extensive forms. Because every extensive form game has a normal form representation, some theorists hold that the best way to analyze an extensive form game is simply to ignore the extensive form structure and study the game in its normal form representation. This book rejects that suggestion, arguing that a game's normal form representation often omits essential information from the perspective of dynamic evolutionary game theory.

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.

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.

Evolutionary Dynamics

Author : Martin A. Nowak
Publisher : Harvard University Press
ISBN 13 : 0674417747
Total Pages : 378 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 378 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.

The Evolution of Cooperation

Author : Robert Axelrod
Publisher : Basic Books
ISBN 13 : 0786734884
Total Pages : 258 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis The Evolution of Cooperation by : Robert Axelrod

Download or read book The Evolution of Cooperation written by Robert Axelrod and published by Basic Books. This book was released on 2009-04-29 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: A famed political scientist's classic argument for a more cooperative world We assume that, in a world ruled by natural selection, selfishness pays. So why cooperate? In The Evolution of Cooperation, political scientist Robert Axelrod seeks to answer this question. In 1980, he organized the famed Computer Prisoners Dilemma Tournament, which sought to find the optimal strategy for survival in a particular game. Over and over, the simplest strategy, a cooperative program called Tit for Tat, shut out the competition. In other words, cooperation, not unfettered competition, turns out to be our best chance for survival. A vital book for leaders and decision makers, The Evolution of Cooperation reveals how cooperative principles help us think better about everything from military strategy, to political elections, to family dynamics.

The Bounds of Reason

Author : Herbert Gintis
Publisher : Princeton University Press
ISBN 13 : 0691160848
Total Pages : 283 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Bounds of Reason by : Herbert Gintis

Download or read book The Bounds of Reason written by Herbert Gintis and published by Princeton University Press. This book was released on 2014-04-20 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory is central to understanding human behavior and relevant to all of the behavioral sciences—from biology and economics, to anthropology and political science. However, as The Bounds of Reason demonstrates, game theory alone cannot fully explain human behavior and should instead complement other key concepts championed by the behavioral disciplines. Herbert Gintis shows that just as game theory without broader social theory is merely technical bravado, so social theory without game theory is a handicapped enterprise. This edition has been thoroughly revised and updated. Reinvigorating game theory, The Bounds of Reason offers innovative thinking for the behavioral sciences.

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.

Population Games and Evolutionary Dynamics

Author : William H. Sandholm
Publisher : MIT Press
ISBN 13 : 0262288613
Total Pages : 618 pages
Book Rating : 4.2/5 (622 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: A systematic, rigorous, comprehensive, and unified overview of evolutionary game theory. This text offers a systematic, rigorous, and unified presentation of evolutionary game theory, covering the core developments of the theory from its inception in biology in the 1970s through recent advances. Evolutionary game theory, which studies the behavior of large populations of strategically interacting agents, is used by economists to make predictions in settings where traditional assumptions about agents' rationality and knowledge may not be justified. Recently, computer scientists, transportation scientists, engineers, and control theorists have also turned to evolutionary game theory, seeking tools for modeling dynamics in multiagent systems. Population Games and Evolutionary Dynamics provides a point of entry into the field for researchers and students in all of these disciplines. The text first considers population games, which provide a simple, powerful model for studying strategic interactions among large numbers of anonymous agents. It then studies the dynamics of behavior in these games. By introducing a general model of myopic strategy revision by individual agents, the text provides foundations for two distinct approaches to aggregate behavior dynamics: the deterministic approach, based on differential equations, and the stochastic approach, based on Markov processes. Key results on local stability, global convergence, stochastic stability, and nonconvergence are developed in detail. Ten substantial appendixes present the mathematical tools needed to work in evolutionary game theory, offering a practical introduction to the methods of dynamic modeling. Accompanying the text are more than 200 color illustrations of the mathematics and theoretical results; many were created using the Dynamo software suite, which is freely available on the author's Web site. Readers are encouraged to use Dynamo to run quick numerical experiments and to create publishable figures for their own research.

Constructive Computation in Stochastic Models with Applications

Author : Quan-Lin Li
Publisher : Springer Science & Business Media
ISBN 13 : 364211492X
Total Pages : 693 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Constructive Computation in Stochastic Models with Applications by : Quan-Lin Li

Download or read book Constructive Computation in Stochastic Models with Applications written by Quan-Lin Li and published by Springer Science & Business Media. This book was released on 2011-02-02 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Constructive Computation in Stochastic Models with Applications: The RG-Factorizations" provides a unified, constructive and algorithmic framework for numerical computation of many practical stochastic systems. It summarizes recent important advances in computational study of stochastic models from several crucial directions, such as stationary computation, transient solution, asymptotic analysis, reward processes, decision processes, sensitivity analysis as well as game theory. Graduate students, researchers and practicing engineers in the field of operations research, management sciences, applied probability, computer networks, manufacturing systems, transportation systems, insurance and finance, risk management and biological sciences will find this book valuable. Dr. Quan-Lin Li is an Associate Professor at the Department of Industrial Engineering of Tsinghua University, China.

Handbook of Game Theory

Author : Petyon Young
Publisher : Elsevier
ISBN 13 : 0444537678
Total Pages : 1025 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Handbook of Game Theory by : Petyon Young

Download or read book Handbook of Game Theory written by Petyon Young and published by Elsevier. This book was released on 2014-10-01 with total page 1025 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ability to understand and predict behavior in strategic situations, in which an individual's success in making choices depends on the choices of others, has been the domain of game theory since the 1950s. Developing the theories at the heart of game theory has resulted in 8 Nobel Prizes and insights that researchers in many fields continue to develop. In Volume 4, top scholars synthesize and analyze mainstream scholarship on games and economic behavior, providing an updated account of developments in game theory since the 2002 publication of Volume 3, which only covers work through the mid 1990s. - Focuses on innovation in games and economic behavior - Presents coherent summaries of subjects in game theory - Makes details about game theory accessible to scholars in fields outside economics

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."

Developmental Plasticity and Evolution

Author : Mary Jane West-Eberhard
Publisher : Oxford University Press
ISBN 13 : 0198028563
Total Pages : 815 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis Developmental Plasticity and Evolution by : Mary Jane West-Eberhard

Download or read book Developmental Plasticity and Evolution written by Mary Jane West-Eberhard and published by Oxford University Press. This book was released on 2003-03-13 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive synthesis on development and evolution: it applies to all aspects of development, at all levels of organization and in all organisms, taking advantage of modern findings on behavior, genetics, endocrinology, molecular biology, evolutionary theory and phylogenetics to show the connections between developmental mechanisms and evolutionary change. This book solves key problems that have impeded a definitive synthesis in the past. It uses new concepts and specific examples to show how to relate environmentally sensitive development to the genetic theory of adaptive evolution and to explain major patterns of change. In this book development includes not only embryology and the ontogeny of morphology, sometimes portrayed inadequately as governed by "regulatory genes," but also behavioral development and physiological adaptation, where plasticity is mediated by genetically complex mechanisms like hormones and learning. The book shows how the universal qualities of phenotypes--modular organization and plasticity--facilitate both integration and change. Here you will learn why it is wrong to describe organisms as genetically programmed; why environmental induction is likely to be more important in evolution than random mutation; and why it is crucial to consider both selection and developmental mechanism in explanations of adaptive evolution. This book satisfies the need for a truly general book on development, plasticity and evolution that applies to living organisms in all of their life stages and environments. Using an immense compendium of examples on many kinds of organisms, from viruses and bacteria to higher plants and animals, it shows how the phenotype is reorganized during evolution to produce novelties, and how alternative phenotypes occupy a pivotal role as a phase of evolution that fosters diversification and speeds change. The arguments of this book call for a new view of the major themes of evolutionary biology, as shown in chapters on gradualism, homology, environmental induction, speciation, radiation, macroevolution, punctuation, and the maintenance of sex. No other treatment of development and evolution since Darwin's offers such a comprehensive and critical discussion of the relevant issues. Developmental Plasticity and Evolution is designed for biologists interested in the development and evolution of behavior, life-history patterns, ecology, physiology, morphology and speciation. It will also appeal to evolutionary paleontologists, anthropologists, psychologists, and teachers of general biology.

An Evolutionary Theory of Economic Change

Author : Richard R. Nelson
Publisher : Harvard University Press
ISBN 13 : 9780674041431
Total Pages : 456 pages
Book Rating : 4.0/5 (414 download)

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Book Synopsis An Evolutionary Theory of Economic Change by : Richard R. Nelson

Download or read book An Evolutionary Theory of Economic Change written by Richard R. Nelson and published by Harvard University Press. This book was released on 1985-10-15 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Eco-evolutionary Dynamics

Author : Andrew P. Hendry
Publisher : Princeton University Press
ISBN 13 : 0691204179
Total Pages : 410 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Eco-evolutionary Dynamics by : Andrew P. Hendry

Download or read book Eco-evolutionary Dynamics written by Andrew P. Hendry and published by Princeton University Press. This book was released on 2020-06-09 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, scientists have realized that evolution can occur on timescales much shorter than the 'long lapse of ages' emphasized by Darwin - in fact, evolutionary change is occurring all around us all the time. This work provides an authoritative and accessible introduction to eco-evolutionary dynamics, a cutting-edge new field that seeks to unify evolution and ecology into a common conceptual framework focusing on rapid and dynamic environmental and evolutionary change.

Game Theory

Author : Steven N. Durlauf
Publisher : Springer
ISBN 13 : 0230280846
Total Pages : 391 pages
Book Rating : 4.2/5 (32 download)

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Book Synopsis Game Theory by : Steven N. Durlauf

Download or read book Game Theory written by Steven N. Durlauf and published by Springer. This book was released on 2016-07-14 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Specially selected from The New Palgrave Dictionary of Economics 2nd edition, each article within this compendium covers the fundamental themes within the discipline and is written by a leading practitioner in the field. A handy reference tool.

Game Theory in Action

Author : Stephen Schecter
Publisher : Princeton University Press
ISBN 13 : 1400880882
Total Pages : 289 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Game Theory in Action by : Stephen Schecter

Download or read book Game Theory in Action written by Stephen Schecter and published by Princeton University Press. This book was released on 2016-04-05 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential textbook for learning game theory strategies Game Theory in Action is a textbook about using game theory across a range of real-life scenarios. From traffic accidents to the sex lives of lizards, Stephen Schecter and Herbert Gintis show students how game theory can be applied in diverse areas including animal behavior, political science, and economics. The book's examples and problems look at such fascinating topics as crime-control strategies, climate-change negotiations, and the power of the Oracle at Delphi. The text includes a substantial treatment of evolutionary game theory, where strategies are not chosen through rational analysis, but emerge by virtue of being successful. This is the side of game theory that is most relevant to biology; it also helps to explain how human societies evolve. Aimed at students who have studied basic calculus and some differential equations, Game Theory in Action is the perfect way to learn the concepts and practical tools of game theory. Aimed at students who have studied calculus and some differential equations Examples are drawn from diverse scenarios, ranging from traffic accidents to the sex lives of lizards A substantial treatment of evolutionary game theory Useful problem sets at the end of each chapter