[well]

Thanks for your respose Siegmund!

I did the analysis for every integer stack count in the range [0,2t], here are the numbers for t=20. This means that each player starts with 20 chips, the SB is 1 and the BB is 2. In the first column are your chip fractions (e.g. .100 stands for a 1:9 disadvantage), in the second colomn the winning probability if you are in the SB, the third when in the BB.

.025 0.023646039 0.026782933
.050 0.053565866 0.047292078
.075 0.076811512 0.072038246
.100 0.099934306 0.099955267
.125 0.124034093 0.125878666
.150 0.14782364 0.151476556
.175 0.171644385 0.177177071
.200 0.195575556 0.202863407
.225 0.219981592 0.22840145
.250 0.244374407 0.25351313
.275 0.268434212 0.279322041
.300 0.293308127 0.304763669
.325 0.317884499 0.32979939
.350 0.342203619 0.355592867
.375 0.367408072 0.380827502
.400 0.391983475 0.405838729
.425 0.416456541 0.431985499
.450 0.442252849 0.456925133
.475 0.466643044 0.48191271
.500 0.491156036 0.508843964
.525 0.51808729 0.533356956
.550 0.543074867 0.557747151
.575 0.568014501 0.583543459
.600 0.594161271 0.608016525
.625 0.619172498 0.632591928
.650 0.644407133 0.657796381
.675 0.67020061 0.682115501
.700 0.695236331 0.706691873
.725 0.720677959 0.731565788
.750 0.74648687 0.755625593
.775 0.77159855 0.780018408
.800 0.797136593 0.804424444
.825 0.822822929 0.828355615
.850 0.848523444 0.85217636
.875 0.874121334 0.875965907
.900 0.900044733 0.900065694
.925 0.927961754 0.923188488
.950 0.952707922 0.946434134
.975 0.973217067 0.976353961

Note that all the numbers are quite close to what is generally assumed.

Because each player starts with t chips, other fractions than the above will never be reached. I do not see the plateaus you wrote about, and as for the tiny differences: if you compare P(win from SB with k chips) and P(win from BB with k chips), the first one is greater only for k=2, 3, 37 or 39.

An interseting fact about the equilibrium strategies for the tournament in comparison to the ones for the cash version:

For t=20, the SB strategy is tighter for k=2, 12, 13, ..., 20 and looser for the other values, whereas the BB strategy is tighter for k=4, 5, ..., 20 and again looser for other k.

Hope it helps, if you want any more information, please let me know...

Regards, Well.

PS paste the table into notepad and you can read it...