6533b874fe1ef96bd12d616e

RESEARCH PRODUCT

Models of the population playing the Rock-Paper-Scissors game

Włodzimierz BąkTadeusz NadziejaMateusz Wróbel

subject

education.field_of_studyGame mechanicsAsymptotic behaviour of trajectoriesDynamical systems theoryComputer scienceApplied Mathematics010102 general mathematicsPopulation01 natural sciences010101 applied mathematicstime averageDiscrete Mathematics and CombinatoricsApplied mathematicsTime averagerock-paper-scissors game0101 mathematicseducationVideo game designBifurcation

description

We consider discrete dynamical systems coming from the models of evolution of populations playing rock - paper - scissors game . Asymptotic behaviour of trajectories of these systems is described, occurrence of the Neimark-Sacker bifurcation and nonexistence of time averages are proved.

10.3934/dcdsb.2018001https://www.aimsciences.org/journals/contentsListnew.jsp?pubID=1001