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Science/Engineering Evolutionary Games and Population Dynamics

Posted on 2010-03-16




Name:Science/Engineering Evolutionary Games and Population Dynamics
ASIN/ISBN:052162570X
Language:English
File size:10.2 Mb
Publish Date: 1998
ISBN: 052162570X
Pages: 351 pages
File Size: 10,2 MB
Other Info: Cambridge University Press; Djvu
   Science/Engineering Evolutionary Games and Population Dynamics

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Josef Hofbauer, Karl Sigmund, "Evolutionary Games and Population Dynamics"

Every form of behavior 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 realized how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centered not on the concept of rational players but on the population dynamics of behavioral programs. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behavior, and of the closely related interactions among species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions that 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 that 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.

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