evolution and the theory of games

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Evolution And The Theory Of Games

Author : John Maynard Smith
ISBN : 0521288843
Genre : Science
File Size : 20. 83 MB
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In this 1982 book, the theory of games, first developed to analyse economic behaviour, is modified so that it can be applied to evolving populations. John Maynard Smith's concept of an evolutionarily stable strategy is relevant whenever the best thing for an animal or plant to do depends on what others are doing. The theory leads to testable predictions about the evolution of behaviour, of sex and genetic systems, and of growth and life history patterns. This book contains a full account of the theory, and of the data relevant to it. The account is aimed at senior undergraduate and graduate students, teachers and research workers in animal behaviour, population genetics and evolutionary biology. The book will also be of interest to mathematicians and game theorists; the mathematics has been largely confined to appendixes so that the main text may be easily followed by biologists.

Evolutionary Game Theory

Author : Jörgen W. Weibull
ISBN : 0262731215
Genre : Business & Economics
File Size : 81. 50 MB
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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.

Die Evolution Der Kooperation

Author : Robert Axelrod
ISBN : 9783486851748
Genre : Philosophy
File Size : 84. 77 MB
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Wie ist Kooperation möglich in einer Welt von Egoisten, in der es keine zentrale Autorität gibt? Axelrod entwickelt aus der Spieltheorie - auf der Basis des "Gefangenendilemmas" - eine verblüffende Lösung. Nicht die raffinierteste, auch nicht die aggressivste, nicht die sanfteste Strategie sichert langfristig Erfolg, sondern die grundsätzlich wohlwollende, aber stets vergeltungsbereite: TIT FOR TAT, "wie Du mir, so ich Dir". Axelrod schließt daraus, dass in der globalen arbeitsteiligen Wirtschaftsweise geradezu ein innerer Zwang zur Kooperation besteht. Gewinnbringende Kooperationen sind für Unternehmen nützlicher als blinder Wettbewerb.

Evolutionary Game Theory Natural Selection And Darwinian Dynamics

Author : Thomas L. Vincent
ISBN : 1139444298
Genre : Science
File Size : 22. 43 MB
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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.

Game Theory

Author : James N. Webb
ISBN : 1846286360
Genre : Mathematics
File Size : 47. 48 MB
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The outstanding feature of this book is that it provides a unified account of three types of decision problem. It covers the basic ideas of decision theory, classical game theory, and evolutionary game theory in one volume. No background knowledge of economics or biology is required as examples have been carefully selected for their accessibility. Detailed solutions to the numerous exercises are provided at the back of the book, making it ideal for self-study. This introduction to game theory is intended as a first course for undergraduate students of mathematics, but it will also interest advanced students or researchers in biology and economics.

Evolutionary Games And Population Dynamics

Author : Josef Hofbauer
ISBN : 052162570X
Genre : Mathematics
File Size : 57. 40 MB
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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 Games And Equilibrium Selection

Author : Larry Samuelson
ISBN : 0262692198
Genre : Business & Economics
File Size : 21. 85 MB
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Samuelson discusses the details of evolutionary game theory, which posits that players aren't fully rational and don't know all the rules of the game, explaining how their trial-and-error process can weed out poor strategies and establish equilibrium in the model.

Das Egoistische Gen

Author : Richard Dawkins
ISBN : 9783642553912
Genre : Science
File Size : 87. 54 MB
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p”Ein auch heute noch bedeutsamer Klassiker“ Daily Express Sind wir Marionetten unserer Gene? Nach Richard Dawkins ́ vor über 30 Jahren entworfener und heute noch immer provozierender These steuern und dirigieren unsere von Generation zu Generation weitergegebenen Gene uns, um sich selbst zu erhalten. Alle biologischen Organismen dienen somit vor allem dem Überleben und der Unsterblichkeit der Erbanlagen und sind letztlich nur die "Einweg-Behälter" der "egoistischen" Gene. Sind wir Menschen also unserem Gen-Schicksal hilflos ausgeliefert? Dawkins bestreitet dies und macht uns Hoffnung: Seiner Meinung nach sind wir nämlich die einzige Spezies mit der Chance, gegen ihr genetisches Schicksal anzukämpfen.

Language Games And Evolution

Author : Anton Benz
ISBN : 9783642180057
Genre : Computers
File Size : 22. 98 MB
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Recent years witnessed an increased interest in formal pragmatics and especially the establishment of game theory as a new research methodology for the study of language use. Game and Decision Theory (GDT) are natural candidates if we look for a theoretical foundation of linguistic pragmatics. Over the last decade, a firm research community has emerged with a strong interdisciplinary character, where economists, philosophers, and social scientists meet with linguists. Within this field of research, three major currents can be distinguished: one is closely related to the Gricean paradigm and aims at a precise foundation of pragmatic reasoning, the second originates in the economic literature and is concerned with the role of game theory in the context of language use, and the third aims at language evolution seen either from a biological or from a cultural perspective. Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this volume is based on a selection of papers of two international conferences, one organised at ESSLLI in 2007 on language, games, and evolution, and the other organised at the ZAS in Berlin on games and decisions in pragmatics in 2008. This volume is rounded off by additional invited papers and now contains eight articles of leading researchers in the field which together provide a state-of-the-art survey of current research on language evolution and game theoretic approaches to pragmatics.

Economics And The Theory Of Games

Author : Fernando Vega-Redondo
ISBN : 0521775906
Genre : Business & Economics
File Size : 53. 6 MB
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This textbook is designed for students in economics seeking a self-contained approach to game theory.

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