Evolutionary Games and Population Dynamics

@inproceedings{Hofbauer1998EvolutionaryGA,
  title={Evolutionary Games and Population Dynamics},
  author={Josef Hofbauer and Karl Sigmund},
  year={1998}
}
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… 

Evolutionary Game Theory

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Statistical mechanics of evolutionary dynamics.

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Exploration dynamics in evolutionary games

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Evolutionary dynamics of multiple games

The results reveal that even when interactions become incredibly complex, their properties can be captured by relatively simple concepts of evolutionary game(s) theory.

Evolutionary dynamics of a smoothed war of attrition game.

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This model represents natural extension of replicator dynamics to populations of varying densities and feedback between ecological dynamics and game dynamics can generate stable coexistence of cooperators and defectors in public goods games.

Learning enables adaptation in cooperation for multi-player stochastic games

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Mathematical and statistical models in evolutionary game theory

Modeling of evolution is becoming increasingly important in biological and social systems. The idea of evolution presents a reasonable and convincible perspective to the problem of long term
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