Quote:
Originally Posted by RustyBrooks
Anyway, I don't advocate betting every time it's our turn - I was specifically responding, I thought, to the case where we HAVE binked and we're deciding what to do. If you think he will bet every time he's improved, AND call the check-raise, then clearly check-raising is the best option. I think many opponents are just checking behind.
i think villain has to bet when he binks. A bink means he hit his draw while hero bricked in 8/13 worlds and binked in 5/13 worlds. bet/(call or fold) > check back in all worlds.
an example I can think of is villain is on a 9 high flush draw and shows us his hand. we show him our hand where we have a made straight with a redraw to a flush.
there's one round of betting left to go and the last card is dealt face down.
if we bet and villain doesn't fold then villain has at least a flush. checking seems undisputedly the best play for hero with the straight. villain should also bet 100% when he binks his draw. he'll make a bet when we have don't have a flush (like 81% of the time) and lose 1 or 2 bets when we have a flush (18% of the time).
Quote:
Originally Posted by RustyBrooks
I agree with your logic and rough numbers. But how about:
6. hero bets his binks, checks his losses, and villain checks behind or calls
(0.15 * 7.45) + (0.24 * 7.45) + (0.24 * 0) + (0.38 * 7.45) = 5.8865
which is more than every scenario on your list except the one where he bluffs 100%
I made an extreme simplified case where hero stations 100% as the strategy.
so...
(hero bets and villain calls) + (hero bets and villain folds) + (hero checks and villain bets) + (hero checks and villain checks)
(0.15 * 8.45) + (0.24 * 7.24) + (0.24 * =>
-1 <=) + (0.38 * 7.45) = 5.6
If you set hero calls and loses (0.24 * -1) to hero folds when villain has it (0.24 * 0) in all other scenarios then hero's ev goes up in each one of them.
I guess if you really want to solve for the equilibrium point...
when hero checks 100% and villain bricks:
ev(villain checks) = 0
ev(villain bluffs) = 7.45 * (hero folds) + -1 * (hero calls)
0 = 7.45 * (1-x) + -1 * x
8.45x = 7.45
x = 0.88
so when hero peels 88% of the time, hero is pretty much indifferent to whatever villain does. but practically i think stationing close to 100% yields the highest ev since i'd expect most people to bluff too much when they brick out.
also it shouldn't be too hard to make a judgement on which opponents u station light and which opponents u should fold to. if u see villain check/gives up a king high low everytime then u should probably fold some hands.
i guess against good players who bluff a perfect % i need to start folding at the 88% mark. but even then, stationing 100% gives up a very small fraction. if i start folding, i might make too many folds. so i think a good approach is to just station to be on the safer side.
also i'd expect a good ten is in the top 88%tile of hands. so if hero were to fold, this would not be one of them.
assuming that it isn't top 88%... still, a huge portion of hero's range are ten highs. Hero can have ten high with a paired ten, ten high with a king, etc. So I guess if u really want to play super unexploitable and not exploit people then the best thing to do is to fold specific ten highs to control the frequencies (eg. fold only on king rivers, etc)
Last edited by tiger415; 10-23-2015 at 03:57 AM.