Evolutionary games and population dynamics /
Hofbauer, Josef, 1956-
Evolutionary games and population dynamics / Evolutionary Games & Population Dynamics Josef Hofbauer, Karl Sigmund. - Cambridge : Cambridge University Press, 1998. - 1 online resource (xxvii, 323 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
9781139173179 (ebook)
Evolution (Biology)--Mathematical models.
Population biology--Mathematical models.
Game theory.
Volterra equations.
QH371 / .H624 1998
576.8/01/5118
Evolutionary games and population dynamics / Evolutionary Games & Population Dynamics Josef Hofbauer, Karl Sigmund. - Cambridge : Cambridge University Press, 1998. - 1 online resource (xxvii, 323 pages) : digital, PDF file(s).
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
9781139173179 (ebook)
Evolution (Biology)--Mathematical models.
Population biology--Mathematical models.
Game theory.
Volterra equations.
QH371 / .H624 1998
576.8/01/5118