There’s no doubt about it: Poker has gotten tougher over the years.
There are many concepts that shape modern strategy that were unheard of during the height of the poker boom. One of those concepts is equity distribution.
If you want to play (close to) optimal poker in certain scenarios, understanding equity distribution is crucial.
But if you read on and find this concept too complicated, don’t worry. This is “high-hanging fruit” on the tree of poker concepts, and disregarding it will not prevent you from making money in your games.
Here’s what we’ll cover:
Without any further ado, let’s begin!
This article is marked as advanced. If you’d prefer easier reading, check out our introductory articles here or intermediate articles here.
In poker, equity distribution refers to the way that equity is distributed across different parts of a range of hands.
We’re about to look at some equity distribution graphs. Keep in mind that for each of them:
Let’s take a look at example graphs that represent the two ends of the equity distribution spectrum: linear and polarized.
A linear distribution of equity means that our equity is spread fairly evenly across our entire range.
This is extremely often the case on the flop, where we have value hands, marginal hands, semi-bluffs, and air in our range. It looks like this:
A few observations about this graph:
This is much more evenly distributed than you’ll see in the next section.
The other type of equity distribution is a polarized distribution of equity.
When equity distribution is polarized, there is no smooth transition between the bottom 33% of the range and the top 33% of the range. This is the opposite of what we just saw in the linear distribution.
This is best exemplified when looking at a river betting range, because such ranges are split between 0% equity bluffs (most of the time) and high equity (value) hands. It looks like this:
Notice that the bottom 35% of the betting range has 0% equity, while the top 65% of the betting range has between 70% and 100% equity. That’s polarization!
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This is where the particularly advanced part of the concept comes into play.
(But don’t worry, just because something is advanced doesn’t mean it’s beyond your understanding. It just means that you need to understand other, more basic concepts first, in order to understand this one as well.)
On their own, the graphs above don’t tell us much about how we should play. But when we compare our range’s equity distribution to that of our opponent’s range, we start to get some useful information that we can use to shape our strategy.
Let’s look at some example graphs for a common scenario: single raised pots as the preflop raiser in position (button vs big blind).
We shall compare two flops:
The two main things that we can take from these graphs are:
1. On Q♠ 8♥ 3♦, the player who is in position has a large equity advantage compared to a small equity advantage on 8♠ 7♦ 6♥.
This large equity advantage is shown by the equity disparity between corresponding parts of the range distribution. Compare this to 8♠ 7♦ 6♥, which has much closer to symmetrical equity distribution.
2. On Q♠ 8♥ 3♦, the player who is in position has a large equity advantage in the top 20% of the hand distribution (check out the equities between 80-100 on the X-axis).
However, on 8♠ 7♦ 6♥, we can see equity parity in that area.
The way your equity distribution matches up against your opponent’s should impact how frequently you bet and the size of you choose to bet. Specifically:
When it comes to the flop, the bigger the gap between the equity distributions of the two ranges, the more aggressive the in position player can to play. His opponent simply does not have the hands in his range to combat the increased aggressiveness.
This is what we can see happening on Q♠ 8♥ 3♦, on which we see a large gap between the equity distributions. As a result, the in position player should be c-betting significantly more frequently on Q♠ 8♥ 3♦ than on 8♠ 7♦ 6♥.
The key takeaway here is that the bigger the advantage that you have at the top of the ranges, the bigger the bet size you should use. This is true for all parts of the game tree (flop, turn, and river).
Returning to our example comparison, the strategic implication is that the in position player can to increase the c-bet size on Q♠ 8♥ 3♦ compared to 8♠ 7♦ 6♥.
Although this is not the complete story on equity distribution and how it impacts the development of optimal strategies, the information here provides a wide and solid base for understanding more unusual scenarios.
I hope you enjoyed this article as much as I enjoyed developing it! If you have any questions or feedback please feel free to leave a comment down below and I’ll do my best to reply.
Want to learn more about how certain types of advantages should impact your strategy? Read How to Use Positional, Range and Nut Advantages to Maximize Profit.
That’s all for this article! Till’ next time, good luck, grinders!
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