Evolutionary Game Theory

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Evolutionary Game Theory

Jörgen W. Weibull
Evolutionary Game Theory Book PDF

Author : Jörgen W. Weibull
Publisher : MIT Press
Page : 292 pages
File Size : 50,9 Mb
Release : 1997
Category : Business & Economics
ISBN : 0262731215

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Evolutionary Game Theory by Jörgen W. Weibull Pdf

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.

Fundamentals of Evolutionary Game Theory and its Applications

Jun Tanimoto
Fundamentals of Evolutionary Game Theory and its Applications Book PDF

Author : Jun Tanimoto
Publisher : Springer
Page : 214 pages
File Size : 50,9 Mb
Release : 2015-10-23
Category : Business & Economics
ISBN : 9784431549628

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Fundamentals of Evolutionary Game Theory and its Applications by Jun Tanimoto Pdf

​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.

Evolution and the Theory of Games

John Maynard Smith
Evolution and the Theory of Games Book PDF

Author : John Maynard Smith
Publisher : Cambridge University Press
Page : 244 pages
File Size : 47,8 Mb
Release : 1982-10-21
Category : Science
ISBN : 0521288843

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Evolution and the Theory of Games by John Maynard Smith Pdf

This 1982 book is an account of an alternative way of thinking about evolution and the theory of games.

Evolutionary Games and Equilibrium Selection

Larry Samuelson
Evolutionary Games and Equilibrium Selection Book PDF

Author : Larry Samuelson
Publisher : MIT Press
Page : 332 pages
File Size : 55,5 Mb
Release : 1997
Category : Business & Economics
ISBN : 0262692198

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Evolutionary Games and Equilibrium Selection by Larry Samuelson Pdf

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.

The Stability Concept of Evolutionary Game Theory

Ross Cressman
The Stability Concept of Evolutionary Game Theory Book PDF

Author : Ross Cressman
Publisher : Springer Science & Business Media
Page : 137 pages
File Size : 50,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783642499814

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The Stability Concept of Evolutionary Game Theory by Ross Cressman Pdf

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.

Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics

Thomas L. Vincent,Joel S. Brown
Evolutionary Game Theory Natural Selection and Darwinian Dynamics Book PDF

Author : Thomas L. Vincent,Joel S. Brown
Publisher : Cambridge University Press
Page : 0 pages
File Size : 45,8 Mb
Release : 2012-08-16
Category : Science
ISBN : 110740651X

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Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics by Thomas L. Vincent,Joel S. Brown Pdf

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.

Evolutionary Games and Population Dynamics

Josef Hofbauer,Karl Sigmund
Evolutionary Games and Population Dynamics Book PDF

Author : Josef Hofbauer,Karl Sigmund
Publisher : Cambridge University Press
Page : 356 pages
File Size : 55,6 Mb
Release : 1998-05-28
Category : Mathematics
ISBN : 052162570X

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Evolutionary Games and Population Dynamics by Josef Hofbauer,Karl Sigmund Pdf

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 Dynamics and Extensive Form Games

Ross Cressman
Evolutionary Dynamics and Extensive Form Games Book PDF

Author : Ross Cressman
Publisher : MIT Press
Page : 346 pages
File Size : 42,6 Mb
Release : 2003
Category : Business & Economics
ISBN : 0262033054

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Evolutionary Dynamics and Extensive Form Games by Ross Cressman Pdf

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.

Population Games and Evolutionary Dynamics

William H. Sandholm
Population Games and Evolutionary Dynamics Book PDF

Author : William H. Sandholm
Publisher : MIT Press
Page : 618 pages
File Size : 46,5 Mb
Release : 2010-12-17
Category : Business & Economics
ISBN : 9780262195874

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Population Games and Evolutionary Dynamics by William H. Sandholm Pdf

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 Game Theory

J. McKenzie Alexander
Evolutionary Game Theory Book PDF

Author : J. McKenzie Alexander
Publisher : Cambridge University Press
Page : 115 pages
File Size : 40,7 Mb
Release : 2023-03-31
Category : Science
ISBN : 9781009380584

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Evolutionary Game Theory by J. McKenzie Alexander Pdf

Evolutionary game theory originated in population biology from the realisation that frequency-dependent fitness introduced a strategic element into evolution. Since its development, evolutionary game theory has been adopted by many social scientists, and philosophers, to analyse interdependent decision problems played by boundedly rational individuals. Its study has led to theoretical innovations of great interest for the biological and social sciences. For example, theorists have developed a number of dynamical models which can be used to study how populations of interacting individuals change their behaviours over time. In this introduction, this Element covers the two main approaches to evolutionary game theory: the static analysis of evolutionary stability concepts, and the study of dynamical models, their convergence behaviour and rest points. This Element also explores the many fascinating, and complex, connections between the two approaches.

Evolutionary Game Dynamics

American Mathematical Society. Short Course
Evolutionary Game Dynamics Book PDF

Author : American Mathematical Society. Short Course
Publisher : American Mathematical Soc.
Page : 186 pages
File Size : 49,8 Mb
Release : 2011-10-27
Category : Mathematics
ISBN : 9780821853269

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Evolutionary Game Dynamics by American Mathematical Society. Short Course Pdf

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.

The Evolution of Cooperation

Robert Axelrod
The Evolution of Cooperation Book PDF

Author : Robert Axelrod
Publisher : Basic Books
Page : 304 pages
File Size : 55,7 Mb
Release : 2009-04-29
Category : Business & Economics
ISBN : 9780786734887

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The Evolution of Cooperation by Robert Axelrod Pdf

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 in Action

Stephen Schecter,Herbert Gintis
Game Theory in Action Book PDF

Author : Stephen Schecter,Herbert Gintis
Publisher : Princeton University Press
Page : 288 pages
File Size : 53,7 Mb
Release : 2016-04-05
Category : Business & Economics
ISBN : 9780691167657

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Game Theory in Action by Stephen Schecter,Herbert Gintis Pdf

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

Game Theory Evolving

Herbert Gintis
Game Theory Evolving Book PDF

Author : Herbert Gintis
Publisher : Princeton University Press
Page : 408 pages
File Size : 50,5 Mb
Release : 2009-01-26
Category : Business & Economics
ISBN : 9781400830077

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Game Theory Evolving by Herbert Gintis Pdf

Since its original publication in 2000, Game Theory Evolving has been considered the best textbook on evolutionary game theory. This completely revised and updated second edition of Game Theory Evolving contains new material and shows students how to apply game theory to model human behavior in ways that reflect the special nature of sociality and individuality. The textbook continues its in-depth look at cooperation in teams, agent-based simulations, experimental economics, the evolution and diffusion of preferences, and the connection between biology and economics. Recognizing that students learn by doing, the textbook introduces principles through practice. 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 animal behavior. The second edition includes solutions to the problems presented and information related to agent-based modeling. In addition, the textbook incorporates instruction in using mathematical software to solve complex problems. Game Theory Evolving is perfect for graduate and upper-level undergraduate economics students, and is a terrific introduction for ambitious do-it-yourselfers throughout the behavioral sciences. Revised and updated edition relevant for courses across disciplines Perfect for graduate and upper-level undergraduate economics courses Solutions to problems presented throughout Incorporates instruction in using computational software for complex problem solving Includes in-depth discussions of agent-based modeling

Game Theory and Animal Behavior

Lee Alan Dugatkin,Hudson Kern Reeve
Game Theory and Animal Behavior Book PDF

Author : Lee Alan Dugatkin,Hudson Kern Reeve
Publisher : Oxford University Press
Page : 335 pages
File Size : 47,5 Mb
Release : 2000-03-23
Category : Nature
ISBN : 9780195350203

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Game Theory and Animal Behavior by Lee Alan Dugatkin,Hudson Kern Reeve Pdf

Game theory has revolutionized the study of animal behavior. The fundamental principle of evolutionary game theory--that the strategy adopted by one individual depends on the strategies exhibited by others--has proven a powerful tool in uncovering the forces shaping otherwise mysterious behaviors. In this volume, the first since 1982 devoted to evolutionary game theory, leading researchers describe applications of the theory to diverse types of behavior, providing an overview of recent discoveries and a synthesis of current research. The volume begins with a clear introduction to game theory and its explanatory scope. This is followed by a series of chapters on the use of game theory to understand a range of behaviors: social foraging, cooperation, animal contests, communication, reproductive skew and nepotism within groups, sibling rivalry, alternative life-histories, habitat selection, trophic-level interactions, learning, and human social behavior. In addition, the volume includes a discussion of the relations among game theory, optimality, and quantitative genetics, and an assessment of the overall utility of game theory to the study of social behavior. Presented in a manner accessible to anyone interested in animal behavior but not necessarily trained in the mathematics of game theory, the book is intended for a wide audience of undergraduates, graduate students, and professional biologists pursuing the evolutionary analysis of animal behavior.