https://wiki.evoludo.org/index.php?title=EvoLudoLab:_2x2_Game_-_Dominance_B&feed=atom&action=history EvoLudoLab: 2x2 Game - Dominance B - Revision history 2024-03-29T08:52:44Z Revision history for this page on the wiki MediaWiki 1.40.0 https://wiki.evoludo.org/index.php?title=EvoLudoLab:_2x2_Game_-_Dominance_B&diff=2737&oldid=prev Hauert at 22:49, 13 October 2023 2023-10-13T22:49:43Z <p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:49, 13 October 2023</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</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>{{EvoLudoLab:2x2|</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:2x2|</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 --delay 200 --view Strategies_-_Mean --reportfreq 0.5 --popsize 10000 --popupdate <del style="font-weight: bold; text-decoration: none;">r </del>--playerupdate <del style="font-weight: bold; text-decoration: none;">i --updateprob 1.0 --switchpref 0.0 </del>--geometry M --intertype <del style="font-weight: bold; text-decoration: none;">a1 </del>--numinter 1 --<del style="font-weight: bold; text-decoration: none;">reprotype a1 </del>--<del style="font-weight: bold; text-decoration: none;">initfreqs </del>1<del style="font-weight: bold; text-decoration: none;">:99 </del>--mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 1.16 --sucker -0.16"|</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 2x2 </ins>--run --delay 200 --view Strategies_-_Mean --reportfreq 0.5 --popsize 10000 --popupdate <ins style="font-weight: bold; text-decoration: none;">async </ins>--playerupdate <ins style="font-weight: bold; text-decoration: none;">imitate </ins>--geometry M --intertype <ins style="font-weight: bold; text-decoration: none;">a </ins>--numinter 1 --<ins style="font-weight: bold; text-decoration: none;">references a </ins>--<ins style="font-weight: bold; text-decoration: none;">init </ins>1<ins style="font-weight: bold; text-decoration: none;">,999 --inittype frequencies </ins>--mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 1.16 --sucker -0.16"|</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=Type B dominates|</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=Type B dominates|</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=Irrespective of the initial configuration, type &lt;math&gt;B&lt;/math&gt; players steadily increase and eventually take over the entire population.</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=Irrespective of the initial configuration, type &lt;math&gt;B&lt;/math&gt; players steadily increase and eventually take over the entire population.</div></td></tr> <tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l6">Line 6:</td> <td colspan="2" class="diff-lineno">Line 6:</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>In the context of cooperation, this scenario is captured by the Prisoner&#039;s Dilemma: Defection is the better option regardless of the co-player&#039;s decision. However, as a consequence both players end up with the punishment payoff &lt;math&gt;P&lt;/math&gt; instead of the more favorable reward &lt;math&gt;R&lt;/math&gt; for mutual cooperation. This generates a conflict of interest between the individual and the group (in this case the pair of interacting players). In the absence of any additional mechanisms such as repeated interactions, spatial extension, structured populations etc. cooperative behavior is bound to go extinct.</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>In the context of cooperation, this scenario is captured by the Prisoner&#039;s Dilemma: Defection is the better option regardless of the co-player&#039;s decision. However, as a consequence both players end up with the punishment payoff &lt;math&gt;P&lt;/math&gt; instead of the more favorable reward &lt;math&gt;R&lt;/math&gt; for mutual cooperation. This generates a conflict of interest between the individual and the group (in this case the pair of interacting players). In the absence of any additional mechanisms such as repeated interactions, spatial extension, structured populations etc. cooperative behavior is bound to go extinct.</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 applet above has &lt;math&gt;R = 1, P = 0, T = 1.16&lt;/math&gt; and &lt;math&gt;S = -0.16&lt;/math&gt; with players imitating better strategies proportional to the payoff difference. The population size is 10'000 and the initial fraction of cooperators 99%.}}</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 applet above has &lt;math&gt;R = 1, P = 0, T = 1.16&lt;/math&gt; and &lt;math&gt;S = -0.16&lt;/math&gt; with players imitating better strategies proportional to the payoff difference. The population size is 10'000 and the initial fraction of cooperators 99<ins style="font-weight: bold; text-decoration: none;">.9</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;"><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>[[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> </table> Hauert https://wiki.evoludo.org/index.php?title=EvoLudoLab:_2x2_Game_-_Dominance_B&diff=2494&oldid=prev Hauert at 19:42, 18 November 2018 2018-11-18T19:42:18Z <p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:42, 18 November 2018</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</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>{{EvoLudoLab:2x2|</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:2x2|</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 --delay 200 --view <del style="font-weight: bold; text-decoration: none;">2 </del>--reportfreq 0.5 --popsize 10000 --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry M --intertype a1 --numinter 1 --reprotype a1 --initfreqs 1:99 --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 1.16 --sucker -0.16"|</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 --delay 200 --view <ins style="font-weight: bold; text-decoration: none;">Strategies_-_Mean </ins>--reportfreq 0.5 --popsize 10000 --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry M --intertype a1 --numinter 1 --reprotype a1 --initfreqs 1:99 --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 1.16 --sucker -0.16"|</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=Type B dominates|</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=Type B dominates|</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=Irrespective of the initial configuration, type &lt;math&gt;B&lt;/math&gt; players steadily increase and eventually take over the entire population.</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=Irrespective of the initial configuration, type &lt;math&gt;B&lt;/math&gt; players steadily increase and eventually take over the entire population.</div></td></tr> </table> Hauert https://wiki.evoludo.org/index.php?title=EvoLudoLab:_2x2_Game_-_Dominance_B&diff=2493&oldid=prev Hauert at 19:41, 18 November 2018 2018-11-18T19:41:36Z <p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:41, 18 November 2018</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</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>{{EvoLudoLab:2x2|</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:2x2|</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 --delay 200 --view <del style="font-weight: bold; text-decoration: none;">1 </del>--reportfreq 0.5 --popsize 10000 --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry M --intertype a1 --numinter 1 --reprotype a1 --initfreqs 1:99 --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 1.16 --sucker -0.16"|</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 --delay 200 --view <ins style="font-weight: bold; text-decoration: none;">2 </ins>--reportfreq 0.5 --popsize 10000 --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry M --intertype a1 --numinter 1 --reprotype a1 --initfreqs 1:99 --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 1.16 --sucker -0.16"|</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=Type B dominates|</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=Type B dominates|</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=Irrespective of the initial configuration, type &lt;math&gt;B&lt;/math&gt; players steadily increase and eventually take over the entire population.</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=Irrespective of the initial configuration, type &lt;math&gt;B&lt;/math&gt; players steadily increase and eventually take over the entire population.</div></td></tr> </table> Hauert https://wiki.evoludo.org/index.php?title=EvoLudoLab:_2x2_Game_-_Dominance_B&diff=2293&oldid=prev Wikiadmin at 19:17, 11 March 2016 2016-03-11T19:17:02Z <p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:17, 11 March 2016</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</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>{{EvoLudoLab:2x2|</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:2x2|</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 --delay 200 --view <del style="font-weight: bold; text-decoration: none;">2 </del>--reportfreq 0.5 --popsize 10000 --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry M --intertype a1 --numinter 1 --reprotype a1 --initfreqs 1:99 --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 1.16 --sucker -0.16"|</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 --delay 200 --view <ins style="font-weight: bold; text-decoration: none;">1 </ins>--reportfreq 0.5 --popsize 10000 --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry M --intertype a1 --numinter 1 --reprotype a1 --initfreqs 1:99 --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 1.16 --sucker -0.16"|</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=Type B dominates|</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=Type B dominates|</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=Irrespective of the initial configuration, type &lt;math&gt;B&lt;/math&gt; players steadily increase and eventually take over the entire population.</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=Irrespective of the initial configuration, type &lt;math&gt;B&lt;/math&gt; players steadily increase and eventually take over the entire population.</div></td></tr> </table> Wikiadmin https://wiki.evoludo.org/index.php?title=EvoLudoLab:_2x2_Game_-_Dominance_B&diff=752&oldid=prev Hauert: moved VirtualLab: 2x2 Game - Dominance B to EvoLudoLab: 2x2 Game - Dominance B 2010-01-26T09:41:34Z <p>moved <a href="/index.php?title=VirtualLab:_2x2_Game_-_Dominance_B&amp;action=edit&amp;redlink=1" class="new" title="VirtualLab: 2x2 Game - Dominance B (page does not exist)">VirtualLab: 2x2 Game - Dominance B</a> to <a href="/index.php?title=EvoLudoLab:_2x2_Game_-_Dominance_B" title="EvoLudoLab: 2x2 Game - Dominance B">EvoLudoLab: 2x2 Game - Dominance B</a></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <tr class="diff-title" lang="en"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 02:41, 26 January 2010</td> </tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div> </td></tr></table> Hauert https://wiki.evoludo.org/index.php?title=EvoLudoLab:_2x2_Game_-_Dominance_B&diff=751&oldid=prev Hauert at 09:39, 26 January 2010 2010-01-26T09:39:22Z <p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 02:39, 26 January 2010</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</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;">VirtualLab</del>:2x2|</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>{{<ins style="font-weight: bold; text-decoration: none;">EvoLudoLab</ins>:2x2|</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 --delay 200 --view <del style="font-weight: bold; text-decoration: none;">1 </del>--reportfreq 0.5 --popsize 10000 --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry M --intertype a1 --numinter 1 --reprotype a1 --initfreqs 1:99 --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 1.16 --sucker -0.16"|</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 --delay 200 --view <ins style="font-weight: bold; text-decoration: none;">2 </ins>--reportfreq 0.5 --popsize 10000 --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry M --intertype a1 --numinter 1 --reprotype a1 --initfreqs 1:99 --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 1.16 --sucker -0.16"|</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=Type B dominates|</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=Type B dominates|</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=Irrespective of the initial configuration, type &lt;math&gt;B&lt;/math&gt; players steadily increase and eventually take over the entire population.</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=Irrespective of the initial configuration, type &lt;math&gt;B&lt;/math&gt; players steadily increase and eventually take over the entire population.</div></td></tr> </table> Hauert https://wiki.evoludo.org/index.php?title=EvoLudoLab:_2x2_Game_-_Dominance_B&diff=449&oldid=prev Wikiadmin: New page: {{VirtualLab:2x2| options="--run --delay 200 --view 1 --reportfreq 0.5 --popsize 10000 --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry M --intertype a1 --numint... 2009-02-03T18:40:35Z <p>New page: {{VirtualLab:2x2| options=&quot;--run --delay 200 --view 1 --reportfreq 0.5 --popsize 10000 --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry M --intertype a1 --numint...</p> <p><b>New page</b></p><div>{{VirtualLab:2x2|<br /> options=&quot;--run --delay 200 --view 1 --reportfreq 0.5 --popsize 10000 --popupdate r --playerupdate i --updateprob 1.0 --switchpref 0.0 --geometry M --intertype a1 --numinter 1 --reprotype a1 --initfreqs 1:99 --mutation 0.0 --basefit 1.0 --selection 1.0 --reward 1.0 --punishment 0.0 --temptation 1.16 --sucker -0.16&quot;|<br /> title=Type B dominates|<br /> doc=Irrespective of the initial configuration, type &lt;math&gt;B&lt;/math&gt; players steadily increase and eventually take over the entire population.<br /> <br /> In the context of cooperation, this scenario is captured by the Prisoner&#039;s Dilemma: Defection is the better option regardless of the co-player&#039;s decision. However, as a consequence both players end up with the punishment payoff &lt;math&gt;P&lt;/math&gt; instead of the more favorable reward &lt;math&gt;R&lt;/math&gt; for mutual cooperation. This generates a conflict of interest between the individual and the group (in this case the pair of interacting players). In the absence of any additional mechanisms such as repeated interactions, spatial extension, structured populations etc. cooperative behavior is bound to go extinct.<br /> <br /> The applet above has &lt;math&gt;R = 1, P = 0, T = 1.16&lt;/math&gt; and &lt;math&gt;S = -0.16&lt;/math&gt; with players imitating better strategies proportional to the payoff difference. The population size is 10&#039;000 and the initial fraction of cooperators 99%.}}<br /> <br /> [[Category: Christoph Hauert]]</div> Wikiadmin