Evolutionary Games and Population Dynamics

Hofbauer J & Sigmund K (1998). Evolutionary Games and Population Dynamics. Cambridge: Cambridge University Press. ISBN 9780521625708

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Abstract

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.

Comprehensive treatment of ecological and game theoretic dynamics
Invasion dynamics and permanence as key concepts
Explanation in terms of games of things like competition between species

Item Type: Book
Research Programs: Adaptive Dynamics Network (ADN)
Bibliographic Reference: Cambridge University Press, Cambridge, UK (1998)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:09
Last Modified: 10 May 2016 09:25
URI: http://pure.iiasa.ac.at/5442

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