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EvoLudoLab: Continuous Snowdrift Game - Branching: Difference between revisions
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EvoLudoLab: Continuous Snowdrift Game - Branching (view source)
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{{EvoLudoLab:CSD| | {{EvoLudoLab:CSD| | ||
options="--game cSD --run --delay | options="--game cSD --run --delay 100 --view Strategies_-_Distribution --reportfreq 20 --popsize 5000 --popupdate r --playerupdate i --geometry M --intertype a1 --numinter 1 --reprotype a1 --benefitfcn 11 --benefitparams 6:-1.4 --costfcn 1 --costparams 4.56:-1.6 --initmean 0.2 --initsdev 0.05 --mutation 0.01 --mutationtype g --mutationsdev 0.01"| | ||
title=Continuous Snowdrift game: Branching| | title=Continuous Snowdrift game: Branching| | ||
doc=Driven by selection and mutation, the population first converges to the convergent stable intermediate level of investments \(x^* = 0.6\). However, since \(x^*\) is not evolutionarily stable, adjacent strategies can invade leading to evolutionary branching, i.e. separating the population into two phenotypic clusters of high and low investing individuals. This process provides a quite natural explanation for the emergence of discrete strategies such as cooperators and defectors. | doc=Driven by selection and mutation, the population first converges to the convergent stable intermediate level of investments \(x^* = 0.6\). However, since \(x^*\) is not evolutionarily stable, adjacent strategies can invade leading to evolutionary branching, i.e. separating the population into two phenotypic clusters of high and low investing individuals. This process provides a quite natural explanation for the emergence of discrete strategies such as cooperators and defectors. | ||
The parameters are set to \( | The parameters are set to \(b_2 = -1.4, b_1 = 6, c_2 = -1.6, c_1 = 4.56\) with players imitating better strategies proportional to the payoff difference and an initial traits/investment of \(0.2 \pm 0.05\) in a population of \(5'000\) individuals. Mutations occur with a probability of 1% and the standard deviation of the Gaussian distributed mutations is \(0.01\).}} | ||
[[Category: Christoph Hauert]] | [[Category: Christoph Hauert]] | ||
