In a CO-BTN-BB 3-way pot, BTN loses value by defending with simple calls as if it were heads-up. To deny the remaining BB’s equity, BTN should play tighter and make small raises more often.
Imagine a spot where CO opens, BTN calls, BB also calls, and they see a flop. CO makes a c-bet, and we are on the BTN with BB still left to act behind us.
Many players handle this spot like a heads-up pot. The logic is, “I have position, so I can call wide and see the turn.” But in 3-way pots, that intuition is often wrong. BTN is not only playing against CO; BTN is also deciding whether to let BB realize equity at a cheap price.
For example, when BTN faces a small c-bet from CO in a heads-up CO vs BTN pot, BTN generally calls at a high frequency. Weak pairs, backdoors, overcards, and gutshots can all be defended quite widely.
But even on the same board, BTN’s response changes dramatically when BB is still behind.
At first glance, this may look strange. With one more player in the pot, shouldn’t BTN be more cautious? Why does the raise frequency actually increase? The answer is that calling gives BB far too good a price.
Preflop pot: 0.5bb + 2.5bb + 2.5bb + 2.5bb = 8bb
If Hero only calls, BB is calling 2.7bb to contest a 16.1bb pot
BB’s required calling equity: 2.7 / 16.1 ≈ 16.8%
If Hero min-raises to 5.4bb, BB must call 5.4bb to contest a 21.5bb pot
BB’s required calling equity: 5.4 / 21.5 ≈ 25.1%
Hero invests only 2.7bb more than calling, but significantly reduces BB’s realization with overcards and draws
If BB folds and CO calls, JTo’s equity improves to about 60-63% against many CO continuing ranges
On a flop like T♠7♥4♠, JTo is neither the nuts nor a pure bluff. Heads-up, it is a natural call. It has top pair, but the kicker is awkward, and facing a 3-bet or all-in from CO after raising would be uncomfortable.
But when BB is behind, the story changes. Because BB defended widely from the blinds, BB can have many different types of hands.
If BTN only calls, these hands get to see the turn at a very cheap price. By contrast, when BTN makes a small raise, BB has to make a more expensive decision with the same equity. The value of raising JTo here does not come from “being definitely ahead of CO,” but from “removing BB’s realizable equity.”
Heads-up flop raises often use a polar structure, mixing strong value with good bluffs. Sets, two pair, strong draws, and air hands with good backdoors are typical examples.
But in CO-BTN-BB 3-way pots, BTN raises in a more linear way. BTN does not raise only very strong hands; top pairs that need protection and middle-strength hands with decent equity also enter the raising range.
This grid is not an exact solver output, but a conceptual map. The important point is not memorizing individual hands. BTN does not raise only strong made hands and good draws; BTN also considers raising top pairs and connected equity hands that benefit greatly when BB is forced out.
When BTN raises large in a 3-way pot, two problems arise.
First, if CO reraises with a strong range, BTN has to make an expensive decision. Hands like JTo or T9s, whose raise is mostly for protection, are not hands that want to put stacks in.
Second, a small raise is often enough to accomplish the goal of making BB fold. BB is already facing both CO’s c-bet and BTN’s raise, so it is hard to continue with weak equity hands.
This postflop raise resembles BTN’s preflop 3-bet. If CO opens and BTN is next to act, BTN’s 3-bet is not only a play against CO. It also prevents the blinds behind from calling cheaply and entering the pot.
The flop works the same way. When CO c-bets and BTN is in the middle, BTN’s raise fights CO’s betting range while also blocking BB’s cheap equity realization.
BTN should not automatically raise more in every 3-way pot. The incentive to raise depends on the range of the player behind, the board texture, and the c-bet size.
For example, if HJ opens, CO calls, BTN calls, and HJ c-bets, the CO left behind is different from BB. CO called preflop with a stronger range and is seated directly before BTN. This type of player will not easily fold draws to a small raise.
A raise designed to push out a BB overcaller is completely different from a raise designed to push out a strong cold caller. The stronger the player behind is, the less efficient BTN’s raise becomes.
On a board like K♠7♥2♦, BB does not have many gutshots, flush draws, or strong turn-improvement candidates. If there is little equity to take away from BB, BTN has less reason to raise with medium-strength hands.
On these boards, the raising range becomes more polar again. It centers on hands with clear reasons to raise, such as strong Kx, sets, and some backdoor bluffs.
If CO bets half pot or larger, BB will already fold quite often even if BTN only calls. For example, when BTN calls a half-pot c-bet, BB is already getting a poor price and will fold many weak backdoors and low-equity hands.
In that case, the additional BB folds created by BTN’s raise become smaller. CO’s large betting range is also usually more polarized, which increases the risk of raising a medium-strength hand and facing a strong counterattack.
When BTN is considering a raise on a 3-way flop
In CO-BTN-BB 3-way pots, BTN folds more than heads-up, calls less, and makes small raises more often. This adjustment is not about being aggressive for its own sake; it comes from the structure of the spot. When BTN calls, BB realizes equity cheaply. When BTN makes a small raise, many of BB’s hands must give up before seeing the turn.
원문: https://blog.gtowizard.com/monkey-in-the-middle-3-way-pot-heuristics/
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