Quote:
Originally Posted by obbudsman
You mean he wins pot with a wider range, not with a greater % of his range, right?
They are the same thing, aren't they?
Thanks to the other posters, I now understand this, I think.
Imagine hero and villain have 100 total combos each.
Hero has 50 combos of AA (value) and 50 combos of QQ (possible bluffs).
Villain has 100 combos of KK (bluffcatchers).*
If hero bets pot, he maximises EV by betting all 50 combos of AA and and 25 combos of QQ (the 2:1 ratio). With this sizing, he's checking back 25 combos of QQ. His betting range is 75% of all his combos and the EV of those is pot. His checking frequency comes from 25% of combos that never win, so overall EV of the range/strategy is (75% * pot) + (25% of 0) = 75% of pot.
If hero bets 4x pot, he maximises EV by betting all 50 combos of AA, and 40 combos of QQ (the 5:4 ratio). Now he's only checking back 10 combos of QQ (10% of his total range) and he's winning pot with 90 combos. Total EV is now 90% of pot, because he's betting a larger proportion of his range.
* Yes, I know it's impossible to have 50 combos of AA in real poker. Just imagine that AA represents "nuts", QQ represents "air", and "KK" reps "bluffcatcher".
Last edited by ArtyMcFly; 05-22-2017 at 08:20 AM.