Hi,
I have been interested in rollouts between unequal players, specifically
between 0ply and 1ply. With the aim of obtaining accurate results at score, I
rolled out a 13-point MET with GNUbg, which I'm sending to you in case you want
to include it in the next version.
It turns out that the rollouts don't agree with the current theoretical model,
the Elo system. This has been noted by many people over the years, including
Joseph Heled. For more information: https://vixra.org/abs/2409.0106
Keep up the good work,
Tilemachos Zoidis
<?xml version = "1.0"?>
<!DOCTYPE met PUBLIC "-//GNU Backgammon//DTD Match Equity Tables//EN"
"met.dtd">
<!--
Copyright (C) 2025 Tilemachos Zoidis
Unequal Skill Table rolled up to 13 points using GNUbg 0ply and 1ply Normal.
All scores rolled out 38,880 times without VR.
Player 0 is approximately a 47 Elo favorite.
Table does NOT agree with the current Elo formula.
For more information: https://vixra.org/abs/2409.0106
-->
<met>
<info>
<name>13 point MET with player 0 a 47 Elo favorite</name>
<description>Generated by Tilemachos Zoidis using GNUbg rollouts</description>
<length>13</length>
</info>
<pre-crawford-table type="explicit">
<row>
<me>0.5135</me>
<me>0.6993</me>
<me>0.7633</me>
<me>0.8313</me>
<me>0.8537</me>
<me>0.9011</me>
<me>0.9157</me>
<me>0.9427</me>
<me>0.9505</me>
<me>0.9666</me>
<me>0.9712</me>
<me>0.9805</me>
<me>0.9831</me>
</row>
<row>
<me>0.3340</me>
<me>0.5135</me>
<me>0.6168</me>
<me>0.6909</me>
<me>0.7644</me>
<me>0.8185</me>
<me>0.8591</me>
<me>0.8912</me>
<me>0.9151</me>
<me>0.9352</me>
<me>0.9494</me>
<me>0.9614</me>
<me>0.9697</me>
</row>
<row>
<me>0.2637</me>
<me>0.4191</me>
<me>0.5181</me>
<me>0.5957</me>
<me>0.6712</me>
<me>0.7357</me>
<me>0.7841</me>
<me>0.8278</me>
<me>0.8597</me>
<me>0.8897</me>
<me>0.9108</me>
<me>0.9301</me>
<me>0.9441</me>
</row>
<row>
<me>0.1962</me>
<me>0.3461</me>
<me>0.4428</me>
<me>0.5198</me>
<me>0.5987</me>
<me>0.6658</me>
<me>0.7225</me>
<me>0.7697</me>
<me>0.8104</me>
<me>0.8450</me>
<me>0.8733</me>
<me>0.8975</me>
<me>0.9165</me>
</row>
<row>
<me>0.1715</me>
<me>0.2744</me>
<me>0.3678</me>
<me>0.4439</me>
<me>0.5218</me>
<me>0.5922</me>
<me>0.6518</me>
<me>0.7056</me>
<me>0.7514</me>
<me>0.7923</me>
<me>0.8268</me>
<me>0.8563</me>
<me>0.8815</me>
</row>
<row>
<me>0.1205</me>
<me>0.2138</me>
<me>0.3041</me>
<me>0.3766</me>
<me>0.4562</me>
<me>0.5245</me>
<me>0.5886</me>
<me>0.6436</me>
<me>0.6955</me>
<me>0.7412</me>
<me>0.7799</me>
<me>0.8146</me>
<me>0.8438</me>
</row>
<row>
<me>0.1031</me>
<me>0.1710</me>
<me>0.2535</me>
<me>0.3196</me>
<me>0.3955</me>
<me>0.4618</me>
<me>0.5263</me>
<me>0.5831</me>
<me>0.6372</me>
<me>0.6866</me>
<me>0.7294</me>
<me>0.7679</me>
<me>0.8021</me>
</row>
<row>
<me>0.0733</me>
<me>0.1351</me>
<me>0.2089</me>
<me>0.2709</me>
<me>0.3423</me>
<me>0.4062</me>
<me>0.4708</me>
<me>0.5275</me>
<me>0.5835</me>
<me>0.6336</me>
<me>0.6797</me>
<me>0.7219</me>
<me>0.7592</me>
</row>
<row>
<me>0.0633</me>
<me>0.1083</me>
<me>0.1740</me>
<me>0.2285</me>
<me>0.2945</me>
<me>0.3545</me>
<me>0.4174</me>
<me>0.4736</me>
<me>0.5296</me>
<me>0.5812</me>
<me>0.6291</me>
<me>0.6735</me>
<me>0.7148</me>
</row>
<row>
<me>0.0446</me>
<me>0.0846</me>
<me>0.1411</me>
<me>0.1910</me>
<me>0.2512</me>
<me>0.3085</me>
<me>0.3685</me>
<me>0.4232</me>
<me>0.4793</me>
<me>0.5309</me>
<me>0.5807</me>
<me>0.6259</me>
<me>0.6687</me>
</row>
<row>
<me>0.0387</me>
<me>0.0679</me>
<me>0.1168</me>
<me>0.1606</me>
<me>0.2152</me>
<me>0.2667</me>
<me>0.3236</me>
<me>0.3767</me>
<me>0.4309</me>
<me>0.4830</me>
<me>0.5323</me>
<me>0.5792</me>
<me>0.6232</me>
</row>
<row>
<me>0.0272</me>
<me>0.0532</me>
<me>0.0945</me>
<me>0.1336</me>
<me>0.1824</me>
<me>0.2299</me>
<me>0.2830</me>
<me>0.3337</me>
<me>0.3868</me>
<me>0.4364</me>
<me>0.4869</me>
<me>0.5334</me>
<me>0.5789</me>
</row>
<row>
<me>0.0236</me>
<me>0.0427</me>
<me>0.0777</me>
<me>0.1114</me>
<me>0.1550</me>
<me>0.1980</me>
<me>0.2462</me>
<me>0.2948</me>
<me>0.3443</me>
<me>0.3941</me>
<me>0.4424</me>
<me>0.4893</me>
<me>0.5351</me>
</row>
</pre-crawford-table>
<post-crawford-table type="explicit" player="0">
<row>
<me>0.5135</me>
<me>0.5012</me>
<me>0.3340</me>
<me>0.3212</me>
<me>0.2008</me>
<me>0.1911</me>
<me>0.1233</me>
<me>0.1164</me>
<me>0.0753</me>
<me>0.0708</me>
<me>0.0459</me>
<me>0.0429</me>
</row>
</post-crawford-table>
<post-crawford-table type="explicit" player="1">
<row>
<me>0.4865</me>
<me>0.4742</me>
<me>0.3007</me>
<me>0.2879</me>
<me>0.1733</me>
<me>0.1636</me>
<me>0.1017</me>
<me>0.0948</me>
<me>0.0593</me>
<me>0.0548</me>
<me>0.0347</me>
<me>0.0317</me>
</row>
</post-crawford-table>
</met>
