https://wiki.evoludo.org/index.php?action=history&feed=atom&title=EvoLudoLab%3A_Rock-Paper-Scissors_-_SDE
EvoLudoLab: Rock-Paper-Scissors - SDE - Revision history
2026-04-24T15:29:00Z
Revision history for this page on the wiki
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https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_SDE&diff=3067&oldid=prev
Hauert at 07:46, 19 February 2026
2026-02-19T07:46:28Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 00:46, 19 February 2026</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{EvoLudoLab:RSP|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{EvoLudoLab:RSP|</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>options="--module RSP --model SDE --run --delay 50 --view <del style="font-weight: bold; text-decoration: none;">Strategies_</del>-_Simplex_S3 --timestep 0.1 --popsize 1000 --playerupdate imitate --init frequencies 50,33.3,16.7 --dt 0.01 --paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0 --points 0.5,0.333,0.166"|</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>options="--module RSP --model SDE --run --delay 50 --view <ins style="font-weight: bold; text-decoration: none;">Traits_</ins>-_Simplex_S3 --timestep 0.1 --popsize 1000 --playerupdate imitate --init frequencies 50,33.3,16.7 --dt 0.01 --paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0 --points 0.5,0.333,0.166"|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Demographic stochasticity arises from the finite population size of \(N=1000\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Demographic stochasticity arises from the finite population size of \(N=1000\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td></tr>
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Hauert
https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_SDE&diff=2911&oldid=prev
Hauert at 21:38, 12 August 2024
2024-08-12T21:38:20Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 14:38, 12 August 2024</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{EvoLudoLab:RSP|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{EvoLudoLab:RSP|</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>options="--module RSP --model SDE --run --delay 50 --view Strategies_-_Simplex_S3 --timestep 0.1 --popsize 1000 --playerupdate imitate --<del style="font-weight: bold; text-decoration: none;">inittype </del>frequencies 50,33.3,16.7 --dt 0.01 --paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0 --points 0.5,0.333,0.166"|</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>options="--module RSP --model SDE --run --delay 50 --view Strategies_-_Simplex_S3 --timestep 0.1 --popsize 1000 --playerupdate imitate --<ins style="font-weight: bold; text-decoration: none;">init </ins>frequencies 50,33.3,16.7 --dt 0.01 --paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0 --points 0.5,0.333,0.166"|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Demographic stochasticity arises from the finite population size of \(N=1000\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Demographic stochasticity arises from the finite population size of \(N=1000\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td></tr>
</table>
Hauert
https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_SDE&diff=2776&oldid=prev
Hauert at 19:16, 4 August 2024
2024-08-04T19:16:47Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:16, 4 August 2024</td>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>options="--module RSP --model SDE --run --delay 50 --view Strategies_-_Simplex_S3 --timestep 0.1 --popsize 1000 --playerupdate imitate --inittype frequencies 50,33.3,16.7 --dt 0.01 --paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0"|</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>options="--module RSP --model SDE --run --delay 50 --view Strategies_-_Simplex_S3 --timestep 0.1 --popsize 1000 --playerupdate imitate --inittype frequencies 50,33.3,16.7 --dt 0.01 --paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0 <ins style="font-weight: bold; text-decoration: none;">--points 0.5,0.333,0.166</ins>"|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Demographic stochasticity arises from the finite population size of \(N=1000\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Demographic stochasticity arises from the finite population size of \(N=1000\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td></tr>
</table>
Hauert
https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_SDE&diff=2773&oldid=prev
Hauert at 18:46, 4 August 2024
2024-08-04T18:46:33Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 11:46, 4 August 2024</td>
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<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>options="--<del style="font-weight: bold; text-decoration: none;">game </del>RSP --model SDE --run --delay 50 --view Strategies_-_Simplex_S3 --<del style="font-weight: bold; text-decoration: none;">reportfreq </del>0.1 --popsize 1000 --playerupdate imitate --<del style="font-weight: bold; text-decoration: none;">playerupdatenoise 1 --init </del>50,33.3,16.7 <del style="font-weight: bold; text-decoration: none;">--inittype frequencies --mutation 0.0 --basefit 1.0 --selection 1.0 </del>--dt 0.01 --paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0"|</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>options="--<ins style="font-weight: bold; text-decoration: none;">module </ins>RSP --model SDE --run --delay 50 --view Strategies_-_Simplex_S3 --<ins style="font-weight: bold; text-decoration: none;">timestep </ins>0.1 --popsize 1000 --playerupdate imitate --<ins style="font-weight: bold; text-decoration: none;">inittype frequencies </ins>50,33.3,16.7 --dt 0.01 --paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0"|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Demographic stochasticity arises from the finite population size of \(N=1000\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Demographic stochasticity arises from the finite population size of \(N=1000\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td></tr>
</table>
Hauert
https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_SDE&diff=2679&oldid=prev
Hauert at 22:56, 12 October 2023
2023-10-12T22:56:31Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:56, 12 October 2023</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{EvoLudoLab:RSP|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{EvoLudoLab:RSP|</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>options="--game RSP --<del style="font-weight: bold; text-decoration: none;">run </del>--<del style="font-weight: bold; text-decoration: none;">AA </del>--delay 50 --view Strategies_-_Simplex_S3 <del style="font-weight: bold; text-decoration: none;">--no3D </del>--reportfreq 0.1 --popsize 1000 <del style="font-weight: bold; text-decoration: none;">--popupdate S </del>--playerupdate <del style="font-weight: bold; text-decoration: none;">I1 </del>--<del style="font-weight: bold; text-decoration: none;">updateprob </del>1<del style="font-weight: bold; text-decoration: none;">.0 </del>--<del style="font-weight: bold; text-decoration: none;">geometry M --intertype a --numinter 1 --reprotype r1 --initfreqs </del>50<del style="font-weight: bold; text-decoration: none;">:</del>33.3<del style="font-weight: bold; text-decoration: none;">:</del>16.7 --mutation 0.0 --basefit 1.0 --selection 1.0 --dt 0.01 --paymatrix 0<del style="font-weight: bold; text-decoration: none;">:</del>0.7<del style="font-weight: bold; text-decoration: none;">:</del>-1;-1<del style="font-weight: bold; text-decoration: none;">:</del>0<del style="font-weight: bold; text-decoration: none;">:</del>3.4;0.8<del style="font-weight: bold; text-decoration: none;">:</del>-1<del style="font-weight: bold; text-decoration: none;">:</del>0"|</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>options="--game RSP --<ins style="font-weight: bold; text-decoration: none;">model SDE </ins>--<ins style="font-weight: bold; text-decoration: none;">run </ins>--delay 50 --view Strategies_-_Simplex_S3 --reportfreq 0.1 --popsize 1000 --playerupdate <ins style="font-weight: bold; text-decoration: none;">imitate </ins>--<ins style="font-weight: bold; text-decoration: none;">playerupdatenoise </ins>1 --<ins style="font-weight: bold; text-decoration: none;">init </ins>50<ins style="font-weight: bold; text-decoration: none;">,</ins>33.3<ins style="font-weight: bold; text-decoration: none;">,</ins>16.7 <ins style="font-weight: bold; text-decoration: none;">--inittype frequencies </ins>--mutation 0.0 --basefit 1.0 --selection 1.0 --dt 0.01 --paymatrix 0<ins style="font-weight: bold; text-decoration: none;">,</ins>0.7<ins style="font-weight: bold; text-decoration: none;">,</ins>-1;-1<ins style="font-weight: bold; text-decoration: none;">,</ins>0<ins style="font-weight: bold; text-decoration: none;">,</ins>3.4;0.8<ins style="font-weight: bold; text-decoration: none;">,</ins>-1<ins style="font-weight: bold; text-decoration: none;">,</ins>0"|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Demographic stochasticity arises from the finite population size of \(N=<del style="font-weight: bold; text-decoration: none;">100</del>\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Demographic stochasticity arises from the finite population size of \(N=<ins style="font-weight: bold; text-decoration: none;">1000</ins>\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td></tr>
</table>
Hauert
https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_SDE&diff=2316&oldid=prev
Hauert at 08:48, 15 March 2016
2016-03-15T08:48:46Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 01:48, 15 March 2016</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{EvoLudoLab:RSP|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{EvoLudoLab:RSP|</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>options="--run --AA --delay 50 --view <del style="font-weight: bold; text-decoration: none;">Strategy_</del>-<del style="font-weight: bold; text-decoration: none;">_S3 </del>--no3D --reportfreq 0.1 --popsize 1000 --popupdate S --playerupdate I1 --updateprob 1.0 --geometry M --intertype a --numinter 1 --reprotype r1 --initfreqs 50:33.3:16.7 --mutation 0.0 --basefit 1.0 --selection 1.0 --dt 0.01 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0"|</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>options="<ins style="font-weight: bold; text-decoration: none;">--game RSP </ins>--run --AA --delay 50 --view <ins style="font-weight: bold; text-decoration: none;">Strategies_</ins>-<ins style="font-weight: bold; text-decoration: none;">_Simplex_S3 </ins>--no3D --reportfreq 0.1 --popsize 1000 --popupdate S --playerupdate I1 --updateprob 1.0 --geometry M --intertype a --numinter 1 --reprotype r1 --initfreqs 50:33.3:16.7 --mutation 0.0 --basefit 1.0 --selection 1.0 --dt 0.01 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0"|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Demographic stochasticity arises from the finite population size of \(N=100\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Demographic stochasticity arises from the finite population size of \(N=100\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td></tr>
</table>
Hauert
https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_SDE&diff=1029&oldid=prev
Hauert at 22:04, 21 March 2012
2012-03-21T22:04:36Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:04, 21 March 2012</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>options="--run --AA --delay 50 --view Strategy_-_S3 --no3D --reportfreq 0.1 --popsize 1000 --popupdate S --playerupdate I1 --updateprob 1.0 --geometry M --intertype a --numinter 1 --reprotype r1 --initfreqs 50:33.3:16.7 --mutation 0.0 --basefit 1.0 --selection 1.0 --dt 0.01 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0"|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>options="--run --AA --delay 50 --view Strategy_-_S3 --no3D --reportfreq 0.1 --popsize 1000 --popupdate S --playerupdate I1 --updateprob 1.0 --geometry M --intertype a --numinter 1 --reprotype r1 --initfreqs 50:33.3:16.7 --mutation 0.0 --basefit 1.0 --selection 1.0 --dt 0.01 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0"|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. <del style="font-weight: bold; text-decoration: none;">The demographic </del>stochasticity <del style="font-weight: bold; text-decoration: none;">arising </del>from the finite population size of \(N=100\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. <ins style="font-weight: bold; text-decoration: none;">Demographic </ins>stochasticity <ins style="font-weight: bold; text-decoration: none;">arises </ins>from the finite population size of \(N=100\). In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>The parameters are \(s = 1.4\) using numerical integration (\(dt=0.01\)) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}</div></td></tr>
</table>
Hauert
https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_SDE&diff=1028&oldid=prev
Hauert at 22:04, 21 March 2012
2012-03-21T22:04:01Z
<p></p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
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<tr class="diff-title" lang="en-CA">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:04, 21 March 2012</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>options="--run --AA --delay 50 --view Strategy_-_S3 --no3D --reportfreq 0.1 --popsize 1000 --popupdate S --playerupdate I1 --updateprob 1.0 --geometry M --intertype a --numinter 1 --reprotype r1 --initfreqs 50:33.3:16.7 --mutation 0.0 --basefit 1.0 --selection 1.0 --dt 0.01 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0"|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>options="--run --AA --delay 50 --view Strategy_-_S3 --no3D --reportfreq 0.1 --popsize 1000 --popupdate S --playerupdate I1 --updateprob 1.0 --geometry M --intertype a --numinter 1 --reprotype r1 --initfreqs 50:33.3:16.7 --mutation 0.0 --basefit 1.0 --selection 1.0 --dt 0.01 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0"|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point <del style="font-weight: bold; text-decoration: none;"><math></del>\hat x<del style="font-weight: bold; text-decoration: none;"></math> </del>is a stable focus of the replicator dynamics. The demographic stochasticity arising from the finite population size of <del style="font-weight: bold; text-decoration: none;"><math></del>N=100<del style="font-weight: bold; text-decoration: none;"></math></del>. In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point <ins style="font-weight: bold; text-decoration: none;">\(</ins>\hat x<ins style="font-weight: bold; text-decoration: none;">\) </ins>is a stable focus of the replicator dynamics. The demographic stochasticity arising from the finite population size of <ins style="font-weight: bold; text-decoration: none;">\(</ins>N=100<ins style="font-weight: bold; text-decoration: none;">\)</ins>. In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The parameters are <del style="font-weight: bold; text-decoration: none;"><math></del>s = 1.4<del style="font-weight: bold; text-decoration: none;"></math> </del>using numerical integration (<del style="font-weight: bold; text-decoration: none;"><math></del>dt=0.01<del style="font-weight: bold; text-decoration: none;"></math></del>) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor <del style="font-weight: bold; text-decoration: none;"><math></del>\hat x=(1/2, 1/3, 1/6)<del style="font-weight: bold; text-decoration: none;"></math></del>.}}</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The parameters are <ins style="font-weight: bold; text-decoration: none;">\(</ins>s = 1.4<ins style="font-weight: bold; text-decoration: none;">\) </ins>using numerical integration (<ins style="font-weight: bold; text-decoration: none;">\(</ins>dt=0.01<ins style="font-weight: bold; text-decoration: none;">\)</ins>) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations. The starting point is close to the attractor <ins style="font-weight: bold; text-decoration: none;">\(</ins>\hat x=(1/2, 1/3, 1/6)<ins style="font-weight: bold; text-decoration: none;">\)</ins>.}}</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[Category: Christoph Hauert]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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Hauert
https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_SDE&diff=976&oldid=prev
Hauert at 07:01, 19 March 2012
2012-03-19T07:01:55Z
<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 00:01, 19 March 2012</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{EvoLudoLab:RSP|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{EvoLudoLab:RSP|</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>options="--run --AA --delay 50 --view <del style="font-weight: bold; text-decoration: none;">3 </del>--no3D --reportfreq 0.1 --popsize 1000 --popupdate S --playerupdate I1 --updateprob 1.0 --geometry M --intertype a --numinter 1 --reprotype r1 --initfreqs 50:33.3:16.7 --mutation 0.0 --basefit 1.0 --selection 1.0 --dt 0.01 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0"|</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>options="--run --AA --delay 50 --view <ins style="font-weight: bold; text-decoration: none;">Strategy_-_S3 </ins>--no3D --reportfreq 0.1 --popsize 1000 --popupdate S --playerupdate I1 --updateprob 1.0 --geometry M --intertype a --numinter 1 --reprotype r1 --initfreqs 50:33.3:16.7 --mutation 0.0 --basefit 1.0 --selection 1.0 --dt 0.01 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0"|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>title=Stochastic dynamics - Langevin equation|</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point <math>\hat x</math> is a stable focus of the replicator dynamics. The demographic stochasticity arising from the finite population size of <math>N=100</math>. In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point <math>\hat x</math> is a stable focus of the replicator dynamics. The demographic stochasticity arising from the finite population size of <math>N=100</math>. In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td></tr>
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Hauert
https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_SDE&diff=975&oldid=prev
Hauert at 05:00, 19 March 2012
2012-03-19T05:00:45Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 22:00, 18 March 2012</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point <math>\hat x</math> is a stable focus of the replicator dynamics. The demographic stochasticity arising from the finite population size of <math>N=100</math>. In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>doc=The interior fixed point <math>\hat x</math> is a stable focus of the replicator dynamics. The demographic stochasticity arising from the finite population size of <math>N=100</math>. In the absence of mutations, the boundaries remain absorbing and even though the interior fixed point is attracting, stochastic fluctuations nevertheless eventually drive the population to the absorbing boundaries.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The parameters are <math>s = 1.4</math> using numerical integration (<math>dt=0.01</math>) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations.}}</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>The parameters are <math>s = 1.4</math> using numerical integration (<math>dt=0.01</math>) of the Langevin equation derived from a continuums approximation of the stochastic dynamics in finite populations<ins style="font-weight: bold; text-decoration: none;">. The starting point is close to the attractor <math>\hat x=(1/2, 1/3, 1/6)</math></ins>.}}</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category: Christoph Hauert]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category: Christoph Hauert]]</div></td></tr>
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Hauert