Evolutionary Game Dynamics
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Evolutionary Games And Population Dynamics
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Author : Josef Hofbauer
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-28
Evolutionary Games And Population Dynamics written by Josef Hofbauer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-28 with Mathematics categories.
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.
Population Games And Evolutionary Dynamics
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Author : William H. Sandholm
language : en
Publisher: MIT Press
Release Date : 2010-12-17
Population Games And Evolutionary Dynamics written by William H. Sandholm and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-17 with Business & Economics categories.
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 Dynamics
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Author : American Mathematical Society. Short Course
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-10-27
Evolutionary Game Dynamics written by American Mathematical Society. Short Course and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-27 with Mathematics categories.
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.
Evolutionary Dynamics
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Author : Martin A. Nowak
language : en
Publisher: Harvard University Press
Release Date : 2006-09-29
Evolutionary Dynamics written by Martin A. Nowak and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-29 with Science categories.
Evolution is the one theory that transcends all of biology. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His book makes a case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics.
Evolutionary Game Theory
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Author : Jörgen W. Weibull
language : en
Publisher: MIT Press
Release Date : 1997
Evolutionary Game Theory written by Jörgen W. Weibull and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Business & Economics categories.
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.
Evolution And The Theory Of Games
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Author : John Maynard Smith
language : en
Publisher: Cambridge University Press
Release Date : 1982-10-21
Evolution And The Theory Of Games written by John Maynard Smith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-10-21 with Science categories.
This 1982 book is an account of an alternative way of thinking about evolution and the theory of games.
Evolutionary Games And Equilibrium Selection
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Author : Larry Samuelson
language : en
Publisher: MIT Press
Release Date : 1997
Evolutionary Games And Equilibrium Selection written by Larry Samuelson and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Business & Economics categories.
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.
Stability And Perfection Of Nash Equilibria
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Author : Eric van Damme
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-07-25
Stability And Perfection Of Nash Equilibria written by Eric van Damme and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-07-25 with Business & Economics categories.
This book discusses the main shortcomings of the classical solution concept from noncooperative game theory (that of Nash equilibria) and provides a comprehensive study of the more refined concepts (such as sequential, perfect, proper and stable equilibria) that have been introduced to overcome these drawbacks. The plausibility of the assumptions underlying each such concept are discussed, desirable properties as well as deficiencies are illustrated, characterizations are derived and the relationships between the various concepts are studied. The first six chapters provide an informal discussion with many examples as well as a comprehensive overview for normal form games. The remaining chapters are devoted to specific applications, illustrating the strength (resp. weakness) of the various concepts.
Game Theoretical Models In Biology
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Author : Mark Broom
language : en
Publisher: CRC Press
Release Date : 2013-03-27
Game Theoretical Models In Biology written by Mark Broom and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-27 with Mathematics categories.
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.