EvoLudoLab: Rock-Paper-Scissors - ODE with Mutations: Difference between revisions

EvoLudoLab: Rock-Paper-Scissors - ODE with Mutations (view source)

101 bytes removed , 12 October 2023

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 {{EvoLudoLab:RSP|
-options="--game RSP --run --AA --no3D --delay 50 --view Strategies_-_Simplex_S3 --reportfreq 0.1 --popsize 1000 --popupdate D --playerupdate I1 --updateprob 1.0 --geometry M --intertype a --numinter 1 --reprotype r1 --initfreqs 20:20:60 --mutation 0.005 --basefit 1.0 --selection 1.0 --paymatrix 0:0.1:-1;-1:0:2.2;0.4:-1:0"|
+options="--game RSP --model ODE --run --delay 50 --view Strategies_-_Simplex_S3 --reportfreq 0.1 --init 20,20,60 --inittype frequencies --mutation 0.005 --basefit 1.0 --selection 1.0 --paymatrix 0,0.1,-1;-1,0,2.2;0.4,-1,0"|
 title=Replicator-mutator dynamics|
 doc=The interior fixed point <math>\hat x</math> is an unstable focus. Near <math>\hat x</math> all trajectories spiral away but the boundary of the simplex <math>S_3</math> is repelling because of mutations, which gives rise to a stable limit cycle. For larger mutation rates the interior fixed point becomes stable again even for <math>s<1</math>.