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	<id>https://wiki.evoludo.org/index.php?action=history&amp;feed=atom&amp;title=EvoLudoLab%3A_Rock-Paper-Scissors_-_IBS</id>
	<title>EvoLudoLab: Rock-Paper-Scissors - IBS - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://wiki.evoludo.org/index.php?action=history&amp;feed=atom&amp;title=EvoLudoLab%3A_Rock-Paper-Scissors_-_IBS"/>
	<link rel="alternate" type="text/html" href="https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;action=history"/>
	<updated>2026-04-24T13:39:39Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.42.1</generator>
	<entry>
		<id>https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=3063&amp;oldid=prev</id>
		<title>Hauert at 07:44, 19 February 2026</title>
		<link rel="alternate" type="text/html" href="https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=3063&amp;oldid=prev"/>
		<updated>2026-02-19T07:44:37Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 00:44, 19 February 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{EvoLudoLab:RSP|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{EvoLudoLab:RSP|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&quot;--module RSP --run --delay 50 --view &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Strategies_&lt;/del&gt;-_Simplex_S3 --timestep 0.1 --popsize 1000 --popupdate async --playerupdate imitate --geometry M --interactions all --references r1 --init frequencies 50,33.3,16.7 --paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0 --points 0.5,0.333,0.166&quot;|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&quot;--module RSP --run --delay 50 --view &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Traits_&lt;/ins&gt;-_Simplex_S3 --timestep 0.1 --popsize 1000 --popupdate async --playerupdate imitate --geometry M --interactions all --references r1 --init frequencies 50,33.3,16.7 --paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0 --points 0.5,0.333,0.166&quot;|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations (IBS)|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations (IBS)|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, \(N=1000\). In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, \(N=1000\). In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are \(s = 1.4\) with a starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are \(s = 1.4\) with a starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Hauert</name></author>
	</entry>
	<entry>
		<id>https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=2913&amp;oldid=prev</id>
		<title>Hauert at 21:39, 12 August 2024</title>
		<link rel="alternate" type="text/html" href="https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=2913&amp;oldid=prev"/>
		<updated>2024-08-12T21:39:00Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:39, 12 August 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{EvoLudoLab:RSP|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{EvoLudoLab:RSP|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&quot;--module RSP --run --delay 50 --view Strategies_-_Simplex_S3 --timestep 0.1 --popsize 1000 --popupdate async --playerupdate imitate --geometry M --interactions all --references r1 --&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;inittype &lt;/del&gt;frequencies 50,33.3,16.7 --paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0 --points 0.5,0.333,0.166&quot;|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&quot;--module RSP --run --delay 50 --view Strategies_-_Simplex_S3 --timestep 0.1 --popsize 1000 --popupdate async --playerupdate imitate --geometry M --interactions all --references r1 --&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;init &lt;/ins&gt;frequencies 50,33.3,16.7 --paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0 --points 0.5,0.333,0.166&quot;|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations (IBS)|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations (IBS)|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, \(N=1000\). In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, \(N=1000\). In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are \(s = 1.4\) with a starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are \(s = 1.4\) with a starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Hauert</name></author>
	</entry>
	<entry>
		<id>https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=2778&amp;oldid=prev</id>
		<title>Hauert at 19:23, 4 August 2024</title>
		<link rel="alternate" type="text/html" href="https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=2778&amp;oldid=prev"/>
		<updated>2024-08-04T19:23:25Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 12:23, 4 August 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{EvoLudoLab:RSP|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{EvoLudoLab:RSP|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&quot;--&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;game &lt;/del&gt;RSP --run --delay 50 --view Strategies_-_Simplex_S3 --&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;reportfreq &lt;/del&gt;0.1 --popsize 1000 --popupdate async --playerupdate imitate &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;--playerupdatenoise 1 &lt;/del&gt;--geometry M --&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;intertype a --numinter 1 &lt;/del&gt;--references r1 --&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;init &lt;/del&gt;50,33.3,16.7 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;--inittype frequencies --mutation 0.0 --basefit 1.0 --selection 1.0 &lt;/del&gt;--paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0&quot;|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&quot;--&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;module &lt;/ins&gt;RSP --run --delay 50 --view Strategies_-_Simplex_S3 --&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;timestep &lt;/ins&gt;0.1 --popsize 1000 --popupdate async --playerupdate imitate --geometry M --&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;interactions all &lt;/ins&gt;--references r1 --&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;inittype frequencies &lt;/ins&gt;50,33.3,16.7 --paymatrix 0,0.7,-1;-1,0,3.4;0.8,-1,0 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;--points 0.5,0.333,0.166&lt;/ins&gt;&quot;|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations (IBS)|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations (IBS)|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, \(N=1000\). In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, \(N=1000\). In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are \(s = 1.4\) with a starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are \(s = 1.4\) with a starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Hauert</name></author>
	</entry>
	<entry>
		<id>https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=2681&amp;oldid=prev</id>
		<title>Hauert at 23:03, 12 October 2023</title>
		<link rel="alternate" type="text/html" href="https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=2681&amp;oldid=prev"/>
		<updated>2023-10-12T23:03:51Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en-CA&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:03, 12 October 2023&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{EvoLudoLab:RSP|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{EvoLudoLab:RSP|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&quot;--game RSP --run &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;--AA &lt;/del&gt;--delay 50 --view Strategies_-_Simplex_S3 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;--no3D &lt;/del&gt;--reportfreq 0.1 --popsize 1000 --popupdate &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;r &lt;/del&gt;--playerupdate &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I1 &lt;/del&gt;--&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;updateprob &lt;/del&gt;1&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.0 &lt;/del&gt;--geometry M --intertype a --numinter 1 --&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;reprotype &lt;/del&gt;r1 --&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;initfreqs &lt;/del&gt;50&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&lt;/del&gt;33.3&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&lt;/del&gt;16.7 --mutation 0.0 --basefit 1.0 --selection 1.0 --paymatrix 0&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&lt;/del&gt;0.7&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&lt;/del&gt;-1;-1&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&lt;/del&gt;0&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&lt;/del&gt;3.4;0.8&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&lt;/del&gt;-1&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&lt;/del&gt;0&quot;|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&quot;--game RSP --run --delay 50 --view Strategies_-_Simplex_S3 --reportfreq 0.1 --popsize 1000 --popupdate &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;async &lt;/ins&gt;--playerupdate &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;imitate &lt;/ins&gt;--&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;playerupdatenoise &lt;/ins&gt;1 --geometry M --intertype a --numinter 1 --&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;references &lt;/ins&gt;r1 --&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;init &lt;/ins&gt;50&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;,&lt;/ins&gt;33.3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;,&lt;/ins&gt;16.7 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;--inittype frequencies &lt;/ins&gt;--mutation 0.0 --basefit 1.0 --selection 1.0 --paymatrix 0&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;,&lt;/ins&gt;0.7&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;,&lt;/ins&gt;-1;-1&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;,&lt;/ins&gt;0&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;,&lt;/ins&gt;3.4;0.8&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;,&lt;/ins&gt;-1&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;,&lt;/ins&gt;0&quot;|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations (IBS)|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations (IBS)|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, \(N=1000\). In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, \(N=1000\). In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are \(s = 1.4\) with a starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are \(s = 1.4\) with a starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Hauert</name></author>
	</entry>
	<entry>
		<id>https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=2318&amp;oldid=prev</id>
		<title>Hauert at 08:50, 15 March 2016</title>
		<link rel="alternate" type="text/html" href="https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=2318&amp;oldid=prev"/>
		<updated>2016-03-15T08:50:49Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en-CA&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 01:50, 15 March 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{EvoLudoLab:RSP|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{EvoLudoLab:RSP|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&quot;--run --AA --delay 50 --view &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Strategy_&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;_S3 &lt;/del&gt;--no3D --reportfreq 0.1 --popsize 1000 --popupdate r --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 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0&quot;|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&quot;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;--game RSP &lt;/ins&gt;--run --AA --delay 50 --view &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Strategies_&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;_Simplex_S3 &lt;/ins&gt;--no3D --reportfreq 0.1 --popsize 1000 --popupdate r --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 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0&quot;|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations (IBS)|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations (IBS)|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, \(N=1000\). In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, \(N=1000\). In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are \(s = 1.4\) with a starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are \(s = 1.4\) with a starting point is close to the attractor \(\hat x=(1/2, 1/3, 1/6)\).}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Hauert</name></author>
	</entry>
	<entry>
		<id>https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=1031&amp;oldid=prev</id>
		<title>Hauert at 22:09, 21 March 2012</title>
		<link rel="alternate" type="text/html" href="https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=1031&amp;oldid=prev"/>
		<updated>2012-03-21T22:09:24Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:09, 21 March 2012&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l2&quot;&gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&amp;quot;--run --AA --delay 50 --view Strategy_-_S3 --no3D --reportfreq 0.1 --popsize 1000 --popupdate r --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 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0&amp;quot;|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&amp;quot;--run --AA --delay 50 --view Strategy_-_S3 --no3D --reportfreq 0.1 --popsize 1000 --popupdate r --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 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0&amp;quot;|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations (IBS)|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations (IBS)|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;&lt;/del&gt;\hat x&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt; &lt;/del&gt;is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;&lt;/del&gt;N=1000&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt;&lt;/del&gt;. In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\(&lt;/ins&gt;\hat x&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\) &lt;/ins&gt;is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\(&lt;/ins&gt;N=1000&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\)&lt;/ins&gt;. In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;&lt;/del&gt;s = 1.4&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt; &lt;/del&gt;with a starting point is close to the attractor &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;math&amp;gt;&lt;/del&gt;\hat x=(1/2, 1/3, 1/6)&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/math&amp;gt;&lt;/del&gt;.}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\(&lt;/ins&gt;s = 1.4&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\) &lt;/ins&gt;with a starting point is close to the attractor &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\(&lt;/ins&gt;\hat x=(1/2, 1/3, 1/6)&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\)&lt;/ins&gt;.}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Category: Christoph Hauert]]&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Hauert</name></author>
	</entry>
	<entry>
		<id>https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=982&amp;oldid=prev</id>
		<title>Hauert at 21:41, 19 March 2012</title>
		<link rel="alternate" type="text/html" href="https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=982&amp;oldid=prev"/>
		<updated>2012-03-19T21:41:09Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:41, 19 March 2012&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{EvoLudoLab:RSP|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;{{EvoLudoLab:RSP|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&amp;quot;--run --AA --delay 50 --view Strategy_-_S3 --no3D --reportfreq 0.1 --popsize 1000 --popupdate r --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 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0&amp;quot;|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;options=&amp;quot;--run --AA --delay 50 --view Strategy_-_S3 --no3D --reportfreq 0.1 --popsize 1000 --popupdate r --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 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0&amp;quot;|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations|&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;title=Individual based simulations &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;(IBS)&lt;/ins&gt;|&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point &amp;lt;math&amp;gt;\hat x&amp;lt;/math&amp;gt; is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, &amp;lt;math&amp;gt;N=1000&amp;lt;/math&amp;gt;. In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;doc=The interior fixed point &amp;lt;math&amp;gt;\hat x&amp;lt;/math&amp;gt; is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, &amp;lt;math&amp;gt;N=1000&amp;lt;/math&amp;gt;. In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are &amp;lt;math&amp;gt;s = 1.4&amp;lt;/math&amp;gt; with a starting point is close to the attractor &amp;lt;math&amp;gt;\hat x=(1/2, 1/3, 1/6)&amp;lt;/math&amp;gt;.}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;The parameters are &amp;lt;math&amp;gt;s = 1.4&amp;lt;/math&amp;gt; with a starting point is close to the attractor &amp;lt;math&amp;gt;\hat x=(1/2, 1/3, 1/6)&amp;lt;/math&amp;gt;.}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category: Christoph Hauert]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category: Christoph Hauert]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Hauert</name></author>
	</entry>
	<entry>
		<id>https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=981&amp;oldid=prev</id>
		<title>Hauert: Created page with &quot;{{EvoLudoLab:RSP| options=&quot;--run --AA --delay 50 --view Strategy_-_S3 --no3D --reportfreq 0.1 --popsize 1000 --popupdate r --playerupdate I1 --updateprob 1.0 --geometry M --inter...&quot;</title>
		<link rel="alternate" type="text/html" href="https://wiki.evoludo.org/index.php?title=EvoLudoLab:_Rock-Paper-Scissors_-_IBS&amp;diff=981&amp;oldid=prev"/>
		<updated>2012-03-19T21:40:41Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{EvoLudoLab:RSP| options=&amp;quot;--run --AA --delay 50 --view Strategy_-_S3 --no3D --reportfreq 0.1 --popsize 1000 --popupdate r --playerupdate I1 --updateprob 1.0 --geometry M --inter...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{EvoLudoLab:RSP|&lt;br /&gt;
options=&amp;quot;--run --AA --delay 50 --view Strategy_-_S3 --no3D --reportfreq 0.1 --popsize 1000 --popupdate r --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 --paymatrix 0:0.7:-1;-1:0:3.4;0.8:-1:0&amp;quot;|&lt;br /&gt;
title=Individual based simulations|&lt;br /&gt;
doc=The interior fixed point &amp;lt;math&amp;gt;\hat x&amp;lt;/math&amp;gt; is a stable focus of the replicator dynamics. Stochastic fluctuations arise in individual based simulations of populations with a finite size, &amp;lt;math&amp;gt;N=1000&amp;lt;/math&amp;gt;. In the absence of mutations, the boundaries are absorbing and even though the interior fixed point is attracting, the population will eventually end up in one of the absorbing homogenous states with all rock, all paper or all scissors.&lt;br /&gt;
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The parameters are &amp;lt;math&amp;gt;s = 1.4&amp;lt;/math&amp;gt; with a starting point is close to the attractor &amp;lt;math&amp;gt;\hat x=(1/2, 1/3, 1/6)&amp;lt;/math&amp;gt;.}}&lt;br /&gt;
[[Category: Christoph Hauert]]&lt;/div&gt;</summary>
		<author><name>Hauert</name></author>
	</entry>
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