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{{EvoLudoLab:RSP| | {{EvoLudoLab:RSP| | ||
options="-- | options="--game RSP --model ODE --run --delay 50 --view Strategies_-_Simplex_S3 --reportfreq 0.1 --init 20,20,60 --inittype frequencies --mutation 0.01 --basefit 1.0 --selection 1.0 --playerupdate imitate --paymatrix 0,0.1,-1;-1,0,2.2;0.4,-1,0"| | ||
title=Replicator-mutator dynamics| | 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>. | 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>. | ||
The parameters are <math>s = 0.2</math>, <math>\mu=0. | The parameters are <math>s = 0.2</math>, <math>\mu=0.01</math> using numerical integration of the replicator-mutator equation.}} | ||
''Tip:'' Use the context menu to switch between forward and backward integration in time. | ''Tip:'' Use the context menu to switch between forward and backward integration in time. | ||
[[Category: Christoph Hauert]] | [[Category: Christoph Hauert]] |
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