Wednesday, October 27, 2004

Playing Overcards

Here.

Monday, October 25, 2004

Book Reviews

Click here.

Wednesday, October 20, 2004

Pokertracker Auto-rate

Bisonbison posts a very good set of rules to auto-rate players in poker tracker, here.

Sunday, October 17, 2004

Ed Miller on charging flush draws

More from the prolific Ed Miller:
This "charge the flush draws" mantra has annoyed me for a year and a half now. As ramjam accurately noted, there is virtually no situation on the flop where you are in a multiway pot and raising to "charge the flush draws." When the flush draw gets multiway action, it makes money on the bets going in just like you do (at the expense of those calling with weaker made hands and weaker draws).

I'm not 100% sure where this idea first appeared, but I think I know. It does not appear in 2+2 books... but it does appear almost word-for-word in a popular book on low-limit hold 'em of suspect quality.

This single line has caused more confusion on this forum than any other "concept" in poker:

1) Apparently you have concluded that if you are "charged too much" with your flush draw, you should fold
2) Others have concluded that it is correct always to play a flush draw passively to avoid being "charged"
3) Still others put in silly 3-bets and 4-bets on the flop (in situations where their winning chances are dubious) because they are deathly afraid of "failing to charge the flush draws." Ironically, the 3- and 4-bets are often better for the flush draws than the player making them.

Because pots are so big before the flop in limit hold 'em, anyone who flops ANY flush draw is usually correct to see both the turn and river almost no matter what. Virtually the only situations where it is correct to dump the flush draw is if it is CLEAR that someone already has you drawing dead. This is if the board is DOUBLE (not single) paired on the turn and there is heavy action, or if there are trips on board. You have to be quite sure that you are drawing dead, though, because the pot is typically very large. This gives you a massive overlay to draw to your nine outs. Folding when you "think he might" have a boat can be very expensive.

This means that flush draws are very easy to play... and play against. If you are playing a flush draw, you usually should play aggressively for the first bet or two on the flop, for various reasons. Otherwise, you are calling all bets until the river. Thus, when you are playing against a flush draw, he is your companion to the river. If it gets there, he wins. If it doesn't, you win. There is nothing you can do to get him out, so don't worry about him. Your job is to protect your hand from the people with bottom pair, gutshots, backdoor draws, etc. whom you can force out.

Everybody... for my sanity... please stop "charging the flush draws." It is not a helpful concept, and you guys interpret it in funny ways that lead you to make significant errors.

Thursday, October 14, 2004

StellarWind and raising the turn

Great advice:
There is another major objection to waiting until the turn to raise.

It usually won't work. Obviously raising the turn when SB has the best hand is not a good idea. So assume he has a small pair, flush draw, or OESD. Is he going to bet the turn for you? Not very likely. Not with a draw. Probably not with a seven after the inevitable bad card comes (they're almost all bad).

And there you are. You passed up your flop value raise for nothing.

This simple objection to the turn raise play has wide application and is often overlooked. Always ask yourself: will they bet the turn when I'm winning or just when I'm screwed?

Tuesday, October 05, 2004

Ed Miller on Preflop

Great preflop analysis from the great Ed Miller:
Hi,

Well, there are two basic types of preflop errors: giving too much action (calling or raising too loosely), and not giving enough action (playing too tightly or too passively).

It's relatively easy to quantify the mistake of giving too much action... or at least to narrow its cost down to a reasonable range. That's because the mistake CANNOT POSSIBLY cost more than the extra action you gave.

That is, if you are playing $2-$4 and you call with seven-deuce under the gun, that is BY DEFINITION, no worse than a $2 mistake. That is, after your initial call, you could simply resolve to fold to any subsequent bet or raise at any time, no matter what. That would be pretty dumb, but it shows that the mistake can be no worse than $2.

(Now, making that mistake might get you into a situation where you make more mistakes and lose more... but the ORIGINAL mistake costs at most $2. Remember, you can always fold.)

Furthermore, giving too much action almost never costs you the full $2. That's because you will win some percentage of the time. With seven-deuce, you will sometimes flop trips or two pair, or a straight draw that comes in, or a pair of sevens that holds up, etc. You don't win your share, but you win sometimes, and that defrays the cost of your error. So calling UTG with seven-deuce might cost somewhere between $0.75 and $1.50 instead of the full $2.

In my quiz, I had three examples of giving too much action:
1. Calling with J2s on the button after three loose limpers
2. Raising UTG with 22
3. Calling from the small blind with 72 after two loose limpers

None of these errors is particularly bad. Calling with J2s after three loose limpers is barely an error. Q5s would be break-even or slightly profitable in that spot. J5s is similarly very close to the line. J2s is not much worse than J5s. So that error is maybe a $0.10 error in a $2-$4 game.

Raising UTG with 22 is a little tougher to quantify. But remember that calling with 22 UTG is correct in many games, and when it is wrong, it isn't a big error (on the $0.05-$0.25 scale). So let's assume that calling is break-even... what is raising on top of that? Well, it is at most $2, but it's not nearly that bad because if the first bet is nearly break-even, the second bet cannot possibly drop off so quickly. So again this error is probably in the $0.10-$0.30 range.

Calling from the small blind with seven-deuce costs at most $1. It is actually probably more like $0.50. So that's probably the worst "giving too much action" error of the bunch, but it's still only a quarter of a bet.

Now examine the "not enough action" errors. Using the "it must be less than X" logic doesn't help you as much here. So the estimates will be less precise... for the purpose of this post, I'll resort to pitting against random hands for the ATs hand.

So there are five loose limpers and you have ATs on the button. Against six random hands (assume the big blind comes along), ATs wins 23.5% of the time (from gocee.com). Your "share" is 1/7 or 14.3%. Thus, ATs wins approximately 23.5 - 14.3 = 9.2% "more than its share." Raising nets you 9.2% of all the post-raise action (in this case, one bet for each player, or seven bets), so failing to raise costs you about 0.092*7 = 0.644 bets or about $1.30 in our $2-$4 game. Now that's obviously just an estimate... real poker isn't played hot and cold. But that $1.30 number is WAY bigger than the numbers we got for the other errors, so we can conclude that failing to raise ATs in that spot is almost certainly a bigger error than the others.

Folding the AQ from UTG is the hardest one to quantify. You can do it logically, but I'm going to resort to using the Pokerroom.com data. Pokerroom says that AQ UTG in a 9-handed $1-$2 game is worth $0.34. So in a $2-$4 game, it's worth $0.68. Now that's how an AVERAGE player might play it, so a good player could possibly make it worth somewhat more. And the data comes from a small enough sample that it will have some error associated with it. But from that $0.68 number, we could fairly place an upper bound at $0.90 or $1 at most.

So based on this analysis, I'd rank the errors as follows (ordered from worst to least bad):

1. Just calling with ATs
2. Folding AQ
3. Calling 72
4. Raising 22
5. Calling J2s

The last two are very close.. perhaps too close to call using this very rough estimation technique. Hopefully that helps...

Ed
And followup:
Now, I want to make something clear.

It is a bigger error to play way too many hands than to play way too passively.

But how can that be, since I just showed that playing too passively was significantly worse than all three of the "loose calls/raises"?

Frequency. The net effect an error has on your winrate depends on two things:

1. The magnitude of each individual error
2. The frequency with which you are presented with situations to make the error

The total cost of being prone to make a certain error is the product of the two... the individual cost times how many times you make it. When you play a hand you should fold, that individual error is relatively small. But you get presented with the opportunity to make that error 30 or more times per hour.

On the other hand, opportunities to raise come up much less frequently, and even the most passive players find the most profitable raises (AA-QQ).

So you are better off if your error of choice is to play too passively with big suited aces like ATs than you are if your error of choice is to play loosely and call with hands like J2s and 72. But you'd be even better off if you didn't make either error. Smile

Finally, your question about "how low do you go" with the suited aces? Well, this is, to some extent, a guess... but I generally raise limpers on the button with A8s... sometimes with A7s... and usually not with A6s or lower. A7s-A4s are relatively close in value... the wheel power of the weaker hands makes up somewhat for the lack of strength... so A7s and A5s are about equal and A6s and A4s are about equal. A3s and A2s are weaker, and A8s is definitely stronger. So that's about where I stick the line, A8s/A7s.
finally:
Wenona wrote:
I was wondering how universally you can apply this type of analysis.

For example you say the break even in your example might be around the A8s mark. A8s has a win rate of 20.3% against 6 opponents (gocee), so obviously those win rates must be discounted because the six limpers surely would average better than six random hands.

However, I see KJo has a win rate against six opponents of 20.2%.

Would you consider this a reasonable (say 0ev) hand to raise on the button with 5 limpers and the expected big blind? Or are there other factors that need to be considered that would make KJo a call or fold as compared to the A8s hand, even though their win rates against 6 opponents are nearly identical.
Well, if the hands win approximately the same amount against random hands, then you have to evaluate two more variables:

1. How does the fact that hands are non-random affect your results?
2. How will raising affect the way your hand plays post-flop?

Item 2 is the more important, generally. In this example (A8s vs. KJ), you are clearly better off raising A8s due to post-flop effects.

Effect 1 is that, even though A8s and KJ win equally often hot-and-cold, A8s will win more often IN PRACTICE because you will see the river more often with A8s. A suited hand like A8s will FLOP DRAWS more often, allowing you to continue with the hand when you would have folded an offsuit hand. A king or jack on the turn or river does you no good if the betting forced you to fold on the flop.

Effect 2 is similar, but relates to how your play DIFFERS from your opponents'. Say you were playing $1-$2 hold 'em, but you made a strange rule that everyone had to ante $100 before each hand. How much could you beat that game for?

Not very much, if anything at all. The huge pot makes it correct to go to the river with almost any two cards. And that's exactly what everyone will do. So you cannot be "skilled" at that game... you'll chase to the river, and so will everyone else. You have no edge.

The smaller the pot post-flop, the more your skilled play earns you. If the pot is $1000 already, you cannot outplay your opponents. But when it is only $10, you can.

One of the main ways you outplay your opponents is by folding when you are supposed to (and they don't). The smaller the pot, the more opportunities you get to outplay your opponents in specifically this way.

That's relatively obvious, and most people seem to understand that. What people don't know is that, therefore, you should be more willing to raise suited hands than offsuit hands. Offsuit hands miss the flop more often (because they only rarely flop flush draws), so it is correct to fold them more often. Thus, you get more chances to outplay your opponents by folding with offsuit hands than you do with suited hands. Therefore, there is a stronger incentive to keep the pot smaller with offsuits than with suiteds.

Now don't take that too far... if you have a huge preflop edge (you win far more than your share) like with AK or AQ, you raise... that incentive to keep the pot small isn't large enough to overpower the huge immediate gain you get from raising.

But if you are comparing two hands that win exactly as often (as A8s and KJ), then be more inclined to raise the suited one.