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Limit Hold’em……a solved game?

Many people have been discussing the relative merits of Limit Hold’em recently with regards to it being a “solved game”. There is no other form of poker that relies so heavily on statistics and mathematics than Limit Hold’em. But while it is a game that can in theory be “solved,” we are certainly a long way from the day when vast numbers of players are going to take the time to do so.

The use of tracking software has also taken us a gigantic step closer to achieving perfection and in Limit Hold’em, there are computer programs that are available now that can play a very powerful game indeed. This has been proven by the latest man vs. machine encounters over the past couple of years or so.

So just how do you go about playing a very strong game of limit? Well first and foremost you need to do an awful lot of work and study, and taking advantage of a good training site with top class Limit players as the tutors will be a gigantic start.

In Limit Hold’em it is possible to construct generic ranges from all positions, which can be accurately moulded around the actions of every single opponent. For instance if you are in the big blind and the cut-off open raises, depending on the rate at which this player makes this action from this position in this situation then you can start to compile a range to play with against your opponent’s range. Once you have enough reliable data on your opponent (I use Poker Office as my software of choice) then you can begin the process of compiling your default range against them.

Software like Poker Stove can be of immense help here, as it can assist us in calculating the equity of every hand that we hold against the likely range of our opponent. So if for instance the player in the cut-off is a solid player, we can look at typical ranges for players in that position who are solid and see with what percentage of their range they are open-raising.

There will be minor differences among players, but solid players tend not to be too dissimilar from each other. Once we know their basic range, calculating our own range to play effectively against theirs is a lot simpler. Note: it actually gets far more involved than this, as a player’s own individual post-flop skill and tendencies impact on your range substantially.

But once you have your default range in place then you can begin to fit the rest of your game around that and make any necessary adjustments that need to be made. This in principle is the same as basic strategy in the game of blackjack. Most of the time you are following this basic strategy but there will come a time where it is correct to deviate and to do something else – these are referred to as “strategy deviations”.

Of course, solid players will have different ranges than loose-aggressive players or tight players for example, but a player’s VPIP (Voluntarily Put Into Pot) and PFA (Post-Flop Aggression) will dictate what type of player they are anyway with reasonable accuracy.

If you begin to understand the likely ranges of your opponents and what range you need in place to combat that, and then couple this with a sound post-flop game, you will see why certain people think that Limit Hold’em is close to being solved.

I also think that as you move up through the levels in Limit Hold’em, game selection becomes crucial probably more than in any other poker variation. The value in Limit games above $20-$40 is becoming less and less, and many players at the higher limits are multi-tabling at lower levels in an effort to increase it.

There will always be weaker players with money dropping into these games: maybe they won big in some large online tournament and have a large amount in their account, maybe the site is attached to a sportsbook and has the facility to allow large sports bettors to drift across with substantial money who are itching to play at a serious level.

But these players are well in the minority and you may have to sit at an empty heads-up table all afternoon before the player that you were hoping to see actually shows up. Even then, there is no guarantee that they will stick around for long. If you start to push them around and take their money they could just leave the table, or to make matters worse, if they are the hit and run type then they could do the same and leave with your money.

I am aware of a few high stakes limit players who actually don’t make much more than $100k-$200k a year now simply because the games have become substantially tougher and they cannot see enough action. I don’t know about Limit Hold’em being solved but there are answers further down the limits for those that care to look and don’t have an ego.

Carl “The Dean” Sampson is sponsored by Cake Poker and can be seen at www.cakepoker.com/thedean and on his blog at www.pokersharkpool.com

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