Evolutionary Dynamics For Large Populations In Games With Multiple Backward Induction Equilibria

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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 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.

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.

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.

Game Theory, Alive

Author : Anna R. Karlin
Publisher : American Mathematical Soc.
ISBN 13 : 1470419823
Total Pages : 400 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Game Theory, Alive by : Anna R. Karlin

Download or read book Game Theory, Alive written by Anna R. Karlin and published by American Mathematical Soc.. This book was released on 2017-04-27 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.

Game Theory

Author : Steve Tadelis
Publisher : Princeton University Press
ISBN 13 : 0691129088
Total Pages : 416 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Game Theory by : Steve Tadelis

Download or read book Game Theory written by Steve Tadelis and published by Princeton University Press. This book was released on 2013-01-06 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students

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."

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

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.

Game Theory

Author : Aviad Heifetz
Publisher : Cambridge University Press
ISBN 13 : 0521176042
Total Pages : 461 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Game Theory by : Aviad Heifetz

Download or read book Game Theory written by Aviad Heifetz and published by Cambridge University Press. This book was released on 2012-05-31 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the fundamentals of game theory for undergraduates and MBA students.

Game Theory

Author : Hans Peters
Publisher : Springer Science & Business Media
ISBN 13 : 3540692916
Total Pages : 362 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Game Theory by : Hans Peters

Download or read book Game Theory written by Hans Peters and published by Springer Science & Business Media. This book was released on 2008-08-15 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It covers topics of interest in game theory, including cooperative game theory. Every chapter includes a problem section.

Game Theory: A Very Short Introduction

Author : K. G. Binmore
Publisher : Oxford University Press, USA
ISBN 13 : 0199218463
Total Pages : 201 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Game Theory: A Very Short Introduction by : K. G. Binmore

Download or read book Game Theory: A Very Short Introduction written by K. G. Binmore and published by Oxford University Press, USA. This book was released on 2007-10-25 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Games are played everywhere: from economics to evolutionary biology, and from social interactions to online auctions. This title shows how to play such games in a rational way, and how to maximize their outcomes.

The Oxford Handbook of Philosophy of Science

Author : Paul Humphreys
Publisher : Oxford University Press
ISBN 13 : 0190630701
Total Pages : 945 pages
Book Rating : 4.1/5 (96 download)

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Book Synopsis The Oxford Handbook of Philosophy of Science by : Paul Humphreys

Download or read book The Oxford Handbook of Philosophy of Science written by Paul Humphreys and published by Oxford University Press. This book was released on 2016-08-04 with total page 945 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook provides both an overview of state-of-the-art scholarship in philosophy of science, as well as a guide to new directions in the discipline. Section I contains broad overviews of the main lines of research and the state of established knowledge in six principal areas of the discipline, including computational, physical, biological, psychological and social sciences, as well as general philosophy of science. Section II covers what are considered to be the traditional topics in the philosophy of science, such as causation, probability, models, ethics and values, and explanation. Section III identifies new areas of investigation that show promise of becoming important areas of research, including the philosophy of astronomy and astrophysics, data, complexity theory, neuroscience, simulations, post-Kuhnian philosophy, post-empiricist epistemology, and emergence. Most chapters are accessible to scientifically educated non-philosophers as well as to professional philosophers, and the contributors - all leading researchers in their field -- bring diverse perspectives from the North American, European, and Australasian research communities. This volume is an essential resource for scholars and students.

Evolution

Author : Paul J. Greenwood
Publisher : Cambridge University Press
ISBN 13 : 9780521257343
Total Pages : 336 pages
Book Rating : 4.2/5 (573 download)

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Book Synopsis Evolution by : Paul J. Greenwood

Download or read book Evolution written by Paul J. Greenwood and published by Cambridge University Press. This book was released on 1985-07-11 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Maynard Smith was originally trained as an engineer but, despite important excursions into animal mechanics, ecology and ethology, he is now best known as an international authority on evolution. His pre-eminence is based in large part on original research contributions coupled with an uncanny ability for revealing simple explanations to apparently intractable problems. This wide-ranging volume contains a collection of new and original essays, all inspired by Maynard Smith's writings. The essays span the whole field of evolutionary biology: from microevolution to macroevolution; from evolutionarily stable strategies to sympatric speciation; and from population processes in plants to the arithmetic of assessment in animals.

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.

Spontaneous Order

Author : H. Peyton Young
Publisher : Oxford University Press
ISBN 13 : 0198892993
Total Pages : 401 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis Spontaneous Order by : H. Peyton Young

Download or read book Spontaneous Order written by H. Peyton Young and published by Oxford University Press. This book was released on 2024-10-10 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spontaneous Order brings together Peyton Young's research on evolutionary game theory and its diverse applications across a wide range of academic disciplines, including economics, sociology, philosophy, biology, computer science, and engineering. Enhanced with an introductory essay and commentaries, the book pulls together the author's work thematically to provide a valuable resource for scholars of economic theory. Young argues that equilibrium behaviors often coalesce from the interactions and experiences of many dispersed individuals acting with fragmentary knowledge of the world, rather than (as is often assumed in economics) from the actions of fully rational agents with commonly held beliefs. The author presents a unified and rigorous account of how such 'bottom-up' evolutionary processes work, using recent advances in stochastic dynamical systems theory. This analytical framework illuminates how social norms and institutions evolve, how social and technical innovations spread in society, and how these processes depend on adaptive learning behavior by human subjects.