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… 
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4,903 Citations
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4,903 Citations

Evolutionary Game Theory

This chapter initially summarizes features of matrix games before showing how the theory changes when the two-player game has a continuum of traits or interactions become asymmetric, focusing on the connection between static game-theoretic solution concepts.

Evolutionary Game Theory and Evolutionary Stability

This article discusses generalizations of evolutionary game theory, ESS, and evolutionary stability to several other classes of games, including symmetric population games where payoffs to pure strategies are nonlinear functions of the current population state as well as asymmetric games where players are assigned different roles.

Statistical mechanics of evolutionary dynamics.

The results show that cooperation based on indirect reciprocity is robust with respect to fake reputations and can even be enhanced by them, and it has been found that fraud does not necessarily have a detrimental effect on social systems.

Evolutionary Game Theory

The original models were based on competitions between identical conspecifics, although they now cover a huge range of complex behavioural scenarios such as the adoption of elaborate behaviours or costly physical ornaments by male animals seeking mates or the formation of dominance hierarchies among social groups.

Exploration dynamics in evolutionary games

This work considers a system in which players unconditionally imitate more successful strategies but sometimes also explore the available strategies at random, and term this phenomenon “exploration dynamics” to contrast it with the traditional focus on imitation.

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.

Evolutionary games and population dynamics: maintenance of cooperation in public goods games

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.

Modeling evolutionary games in populations with demographic structure.

Ecological theatre and the evolutionary game: how environmental and demographic factors determine payoffs in evolutionary games

The consequences of an explicit analysis of births and deaths in an evolutionary game theoretic framework are presented, and it is shown that within this new approach it is possible to model how strictly ecological factors such as density dependence and additive background Fitness can affect the outcomes of the game.
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