Evolutionary Games and Population Dynamics

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Release : 1998-05-28
Genre : Mathematics
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Book Rating : 708/5 ( reviews)

Evolutionary Games and Population Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Evolutionary Games and Population Dynamics write by Josef Hofbauer. This book was released on 1998-05-28. Evolutionary Games and Population Dynamics available in PDF, EPUB and Kindle. 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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Release : 2010-12-17
Genre : Business & Economics
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Book Rating : 879/5 ( reviews)

Population Games and Evolutionary Dynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Population Games and Evolutionary Dynamics write by William H. Sandholm. This book was released on 2010-12-17. Population Games and Evolutionary Dynamics available in PDF, EPUB and Kindle. 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 Dynamics and Extensive Form Games

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Release : 2003
Genre : Business & Economics
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Book Rating : 053/5 ( reviews)

Evolutionary Dynamics and Extensive Form Games - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Evolutionary Dynamics and Extensive Form Games write by Ross Cressman. This book was released on 2003. Evolutionary Dynamics and Extensive Form Games available in PDF, EPUB and Kindle. 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.

Evolutionary Game Theory

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Release : 1997
Genre : Business & Economics
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Book Rating : 218/5 ( reviews)

Evolutionary Game Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Evolutionary Game Theory write by Jörgen W. Weibull. This book was released on 1997. Evolutionary Game Theory available in PDF, EPUB and Kindle. 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.

Evolutionary Games in Natural, Social, and Virtual Worlds

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Release : 2016-02-01
Genre : Business & Economics
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Book Rating : 175/5 ( reviews)

Evolutionary Games in Natural, Social, and Virtual Worlds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Evolutionary Games in Natural, Social, and Virtual Worlds write by Daniel Friedman. This book was released on 2016-02-01. Evolutionary Games in Natural, Social, and Virtual Worlds available in PDF, EPUB and Kindle. Over the last 25 years, evolutionary game theory has grown with theoretical contributions from the disciplines of mathematics, economics, computer science and biology. It is now ripe for applications. In this book, Daniel Friedman---an economist trained in mathematics---and Barry Sinervo---a biologist trained in mathematics---offer the first unified account of evolutionary game theory aimed at applied researchers. They show how to use a single set of tools to build useful models for three different worlds: the natural world studied by biologists; the social world studied by anthropologists, economists, political scientists and others; and the virtual world built by computer scientists and engineers. The first six chapters offer an accessible introduction to core concepts of evolutionary game theory. These include fitness, replicator dynamics, sexual dynamics, memes and genes, single and multiple population games, Nash equilibrium and evolutionarily stable states, noisy best response and other adaptive processes, the Price equation, and cellular automata. The material connects evolutionary game theory with classic population genetic models, and also with classical game theory. Notably, these chapters also show how to estimate payoff and choice parameters from the data. The last eight chapters present exemplary game theory applications. These include a new coevolutionary predator-prey learning model extending rock-paper-scissors; models that use human subject laboratory data to estimate learning dynamics; new approaches to plastic strategies and life cycle strategies, including estimates for male elephant seals; a comparison of machine learning techniques for preserving diversity to those seen in the natural world; analyses of congestion in traffic networks (either internet or highways) and the “price of anarchy”; environmental and trade policy analysis based on evolutionary games; the evolution of cooperation; and speciation. As an aid for instruction, a web site provides downloadable computational tools written in the R programming language, Matlab, Mathematica and Excel.