Replicators in a fine-grained environment: adaptation and polymorphism.
Selection in a time-periodic environment is modeled via the two-player replicator dynamics. For sufficiently fast environmental changes, this is reduced to a multiplayer replicator dynamics in a constant environment. The two-player terms correspond to the time-averaged payoffs, while the three- and four-player terms arise from the adaptation of the morphs to their varying environment. Such multiplayer terms can induce a stable polymorphism. The establishment of the polymorphism in partnership games [genetic selection] is accompanied by decreasing mean fitness of the population.
Allahverdyan
Armen E
AE
Yerevan Physics Institute, Alikhanian Brothers Street 2, Yerevan 375036, Armenia.
Hu
Chin-Kun
CK
D000220:Adaptation, Biological; D000818:Animals; D004777:Environment; D049851:Gastropoda / Q000235:genetics; D008957:Models, Genetic; D011110:Polymorphism, Genetic; D011157:Population Dynamics; D012641:Selection, Genetic