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EvoLudoLab: Ecological Public Goods Game - Stable node: Difference between revisions

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{{VirtualLab:EcoPGG|
{{EvoLudoLab:EcoPGG|
options="--run --delay 200 --view 3 --reportfreq 0.2 --popsize 10000 --popupdate D --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry M --intertype a7 --numinter 1 --reprotype a1 --initfreqs 70:5:25 --mutation 0.0 --basefit 1.0 --selection 1.0 --cost 1.0 --interest 5 --birthrate 0.0 --deathrate 0.5"|
options="--run --AA --delay 200 --view Strategy_-_Phase_2D --no3D --reportfreq 0.2 --popsize 10000 --popupdate D --playerupdate I --updateprob 1.0 --geometry M --intertype a --numinter 1 --reprotype a1 --initfreqs 70:5:25 --mutation 0.0 --basefit 1.0 --selection 1.0 --cost 1.0 --interest 5 --groupsize 8 --birthrate 0.0 --deathrate 0.5"|
title=Stable node ''Q'' - co-existence|
title=Stable node ''Q'' - co-existence|
doc=Another increase in <math>r</math> turns the interior fixed point <math>Q</math> into a stable node. As before, cooperators and defectors co-exist at some fixed densities only, they no longer approach the equilibrium in an oscillatory manner. Severe exploitation and low population densities again result in extinction.
doc=Another increase in \(r\) turns the interior fixed point \(Q\) into a stable node. As before, cooperators and defectors co-exist at some fixed densities only, they no longer approach the equilibrium in an oscillatory manner. Severe exploitation and low population densities again result in extinction.


The parameters are <math>r = 5</math>, <math>N = 8</math>, <math>c = 1</math>, <math>b = 0</math>, <math>d = 0.5</math> using numerical integration of the replicator equation.}}
The parameters are \(r = 5\), \(N = 8\), \(c = 1\), \(b = 0\), \(d = 0.5\) using numerical integration of the replicator equation.}}


[[Category: Christoph Hauert]]
[[Category: Christoph Hauert]]
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