2007 | OriginalPaper | Buchkapitel
Replicator Dynamic
Erschienen in: Game Theory
Verlag: Springer London
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
In the previous chapter, we investigated the concept of an evolutionarily stable strategy. Although this concept implicitly assumes the existence of some kind of evolutionary dynamics, it gives an incomplete description. First, an ESS may not exist — in which case the analysis tells us nothing about the evolution of the system described by the game. Second, the definition of an ESS deals only with monomorphic populations in which every individual uses the same strategy. But, if the ESS is a mixed strategy, then all strategies in the support of the ESS obtain the same payoff as the evolutionarily stable strategy itself. So it is pertinent to ask whether a polymorphic population with the same population profile as that generated by the ESS can also be stable. To address these questions, we will look at a specific type of evolutionary dynamics, called replicator dynamics.