Evolution And The Theory Of Games

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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 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.

The Theory Of Learning In Games

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Author : Drew Fudenberg
language : en
Publisher: MIT Press
Release Date : 1998

The Theory Of Learning In Games written by Drew Fudenberg and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Business & Economics categories.

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.

Game Theory

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Author : James N. Webb
language : en
Publisher: Springer Verlag
Release Date : 2007

Game Theory written by James N. Webb and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Business & Economics categories.

This introduction to game theory is written from a mathematical perspective. Its primary purpose is to be a first course for undergraduate students of mathematics, but it also contains material which will be of interest to advanced students or researchers in biology and economics. The outstanding feature of the book is that it provides a unified account of three types of decision problem: Situations involving a single decision-maker: in which a sequence of choices is to be made in "a game against nature". This introduces the basic ideas of optimality and decision processes. Classical game theory: in which the interactions of two or more decision-makers are considered. This leads to the concept of the Nash equilibrium. Evolutionary game theory: in which the changing structure of a population of interacting decision makers is considered. This leads to the ideas of evolutionarily stable strategies and replicator dynamics. An understanding of basic calculus and probability is assumed but no prior knowledge of game theory is required. Detailed solutions are provided for the numerous exercises.

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.

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.

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.

Game Theory Evolving

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Author : Herbert Gintis
language : en
Publisher: Princeton University Press
Release Date : 2000

Game Theory Evolving written by Herbert Gintis and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Business & Economics categories.

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.

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.