https://wiki.evoludo.org/index.php?title=EvoLudoLab:_2x2_Game_-_Coexistence&feed=atom&action=history EvoLudoLab: 2x2 Game - Coexistence - Revision history 2024-03-29T08:13:25Z Revision history for this page on the wiki MediaWiki 1.40.0 https://wiki.evoludo.org/index.php?title=EvoLudoLab:_2x2_Game_-_Coexistence&diff=2738&oldid=prev Hauert at 22:51, 13 October 2023 2023-10-13T22:51:56Z <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 15:51, 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 1.62 --sucker 0.38"|</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 1.62 --sucker 0.38"|</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 A and type B co-exist|</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 A and type B co-exist|</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=Almost independently of the initial configuration, the population quickly converges to a mixed state where type &lt;math&gt;A&lt;/math&gt; and &lt;math&gt;B&lt;/math&gt; players co-exist.</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=Almost independently of the initial configuration, the population quickly converges to a mixed state where type &lt;math&gt;A&lt;/math&gt; and &lt;math&gt;B&lt;/math&gt; players co-exist.</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 Snowdrift Game, the Hawk-Dove Game or the Chicken Game: the best strategic option depends on the co-player - if he/she defects, it is better to cooperate but if he/she cooperates then defection pays off. Consequently, in a well-mixed population the rare type is always favored and hence cooperators and defectors co-exist in a stable equilibrium. Such interactions indicate another, slightly relaxed form of a social dilemma.</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 Snowdrift Game, the Hawk-Dove Game or the Chicken Game: the best strategic option depends on the co-player - if he/she defects, it is better to cooperate but if he/she cooperates then defection pays off. Consequently, in a well-mixed population the rare type is always favored and hence cooperators and defectors co-exist in a stable equilibrium. Such interactions indicate another, slightly relaxed form of a social dilemma.</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 above parameters are set to &lt;math&gt;R = 1, P = 0, T = 1.62&lt;/math&gt; and &lt;math&gt;S = -0.38&lt;/math&gt; with players imitating better strategies proportional to the payoff difference and an initial fraction of cooperators of 99% in a population of size 10'000.}}</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 above parameters are set to &lt;math&gt;R = 1, P = 0, T = 1.62&lt;/math&gt; and &lt;math&gt;S = -0.38&lt;/math&gt; with players imitating better strategies proportional to the payoff difference and an initial fraction of cooperators of 99<ins style="font-weight: bold; text-decoration: none;">.9</ins>% in a population of size 10'000.}}</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_-_Coexistence&diff=2495&oldid=prev Hauert at 19:42, 18 November 2018 2018-11-18T19:42:42Z <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;">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 1.62 --sucker 0.38"|</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 1.62 --sucker 0.38"|</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 A and type B co-exist|</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 A and type B co-exist|</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=Almost independently of the initial configuration, the population quickly converges to a mixed state where type &lt;math&gt;A&lt;/math&gt; and &lt;math&gt;B&lt;/math&gt; players co-exist.</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=Almost independently of the initial configuration, the population quickly converges to a mixed state where type &lt;math&gt;A&lt;/math&gt; and &lt;math&gt;B&lt;/math&gt; players co-exist.</div></td></tr> </table> Hauert https://wiki.evoludo.org/index.php?title=EvoLudoLab:_2x2_Game_-_Coexistence&diff=2294&oldid=prev Wikiadmin at 19:18, 11 March 2016 2016-03-11T19:18:03Z <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 12:18, 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 1.62 --sucker 0.38"|</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 1.62 --sucker 0.38"|</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 A and type B co-exist|</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 A and type B co-exist|</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=Almost independently of the initial configuration, the population quickly converges to a mixed state where type &lt;math&gt;A&lt;/math&gt; and &lt;math&gt;B&lt;/math&gt; players co-exist.</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=Almost independently of the initial configuration, the population quickly converges to a mixed state where type &lt;math&gt;A&lt;/math&gt; and &lt;math&gt;B&lt;/math&gt; players co-exist.</div></td></tr> </table> Wikiadmin https://wiki.evoludo.org/index.php?title=EvoLudoLab:_2x2_Game_-_Coexistence&diff=755&oldid=prev Hauert: moved VirtualLab: 2x2 Game - Coexistence to EvoLudoLab: 2x2 Game - Coexistence 2010-01-26T09:42:17Z <p>moved <a href="/index.php?title=VirtualLab:_2x2_Game_-_Coexistence&amp;action=edit&amp;redlink=1" class="new" title="VirtualLab: 2x2 Game - Coexistence (page does not exist)">VirtualLab: 2x2 Game - Coexistence</a> to <a href="/index.php?title=EvoLudoLab:_2x2_Game_-_Coexistence" title="EvoLudoLab: 2x2 Game - Coexistence">EvoLudoLab: 2x2 Game - Coexistence</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 02:42, 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_-_Coexistence&diff=754&oldid=prev Hauert at 09:42, 26 January 2010 2010-01-26T09:42:03Z <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 02:42, 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 1.62 --sucker 0.38"|</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 1.62 --sucker 0.38"|</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 A and type B co-exist|</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 A and type B co-exist|</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=Almost independently of the initial configuration, the population quickly converges to a mixed state where type &lt;math&gt;A&lt;/math&gt; and &lt;math&gt;B&lt;/math&gt; players co-exist.</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=Almost independently of the initial configuration, the population quickly converges to a mixed state where type &lt;math&gt;A&lt;/math&gt; and &lt;math&gt;B&lt;/math&gt; players co-exist.</div></td></tr> </table> Hauert https://wiki.evoludo.org/index.php?title=EvoLudoLab:_2x2_Game_-_Coexistence&diff=450&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... 2009-02-03T19:17:31Z <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 1.62 --sucker 0.38&quot;|<br /> title=Type A and type B co-exist|<br /> doc=Almost independently of the initial configuration, the population quickly converges to a mixed state where type &lt;math&gt;A&lt;/math&gt; and &lt;math&gt;B&lt;/math&gt; players co-exist.<br /> <br /> In the context of cooperation, this scenario is captured by the Snowdrift Game, the Hawk-Dove Game or the Chicken Game: the best strategic option depends on the co-player - if he/she defects, it is better to cooperate but if he/she cooperates then defection pays off. Consequently, in a well-mixed population the rare type is always favored and hence cooperators and defectors co-exist in a stable equilibrium. Such interactions indicate another, slightly relaxed form of a social dilemma.<br /> <br /> The above parameters are set to &lt;math&gt;R = 1, P = 0, T = 1.62&lt;/math&gt; and &lt;math&gt;S = -0.38&lt;/math&gt; with players imitating better strategies proportional to the payoff difference and an initial fraction of cooperators of 99% in a population of size 10&#039;000.}}<br /> <br /> [[Category: Christoph Hauert]]</div> Wikiadmin