Evolutionary game theory

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Evolutionary game theory (EGT) is the application of game theory in evolutionary biology. It is used to understand situations in which the benefits of what an organism does depend on what other organisms are doing.

EGT studies the dynamics and equilibria of games played by populations of players. The strategies players employ in the games determine their interdependent payoff or fitness. In contrast with the traditional applications of game theory, the players do not act rationally when choosing their strategies, but act instead according to a pre-programmed behavior pattern. A pure strategy is encoded in an individual's genome, which can evolve over time while repeatedly playing a game against other players in a population. The more successful strategies result in more offspring and the game is then iterated and studied.

Recently, evolutionary game theory has increasingly become of interest to economists, sociologists, and anthropologists, as well as philosophers. In these expanded contexts, the evolution treated by EGT can refer to systems such as cultural evolution or economic behavior.

The common methodology to study the evolutionary dynamics in games is through replicator equations. Replicator equations assume infinite populations, continuous time, complete mixing and that strategies breed true. The attractors (stable fixed points) of the equations are equivalent with evolutionarily stable states.

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Topics in population genetics
Key concepts: Hardy-Weinberg law | Fisher's fundamental theorem | neutral theory
Selection: natural | sexual | artificial | ecological
Genetic drift: small population size | population bottleneck | founder effect
Founders: Ronald Fisher | J.B.S. Haldane | Sewall Wright
Related topics: evolution | microevolution | evolutionary game theory | fitness landscape
List of evolutionary biology topics
Topics in game theory
Evolutionarily stable strategy - Mechanism design - No-win - Winner's curse - Zero-sum
Games: Prisoner's dilemma - Chicken - Stag hunt - Ultimatum game - Matching pennies ...
Related topics: Mathematics - Economics - Behavioral economics - Evolutionary biology - Evolutionary game theory - Population genetics - Behavioral ecology
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zh:进化博弈理论
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