Squid Classic
the first strategy manual

One rule change turns standard poker inside out.

Squid Classic is 6-max No-Limit Hold'em — standard blinds, 100bb effective stacks, the poker you already know — with a single addition: at the end of the game, the only player still holding zero squids pays a penalty.

A "squid" is a win token. Win the main pot, get a squid. Each player can hold at most one (it's binary: you either have one or you don't). The game continues until five of the six players have each won at least one main pot. At that point, the one player still without a squid is the loser.

The loser pays (N − 1) × val big blinds — in 6-max, that's 5 × val. The five squid-holders split the penalty evenly, each receiving val BB. The val parameter controls the penalty magnitude. The model was trained on five discrete settings: 1, 2, 3, 5, and 10 BB. At val=3, the loser pays 15 BB; at val=10, 50 BB.

Split pots don't award a squid. Only the main pot winner gets one. If you already hold a squid and win again, nothing changes — you can't stack squids in Classic mode.

That's the entire rule change.

Everything else — hand rankings, blinds, betting structure, street order, showdown rules — is standard NLHE. The only thing Squid Classic adds is a reason to care whether you win a pot, not just whether you win this pot.

The terminology: safe and desperate

Two labels run through every part of this document:

• Safe — the player has a squid. They've already won a main pot and can't be the game-end loser. Their penalty exposure is zero; they're locked in to receive val BB at termination.
• Desperate — the player has no squid. They're still at risk of being the last one standing without a win token, which means they're still exposed to the full 5 × val penalty.

These labels follow directly from the win-token rule. A squid is safety. No squid is risk.

Why this rule reshapes everything

In standard Cash NLHE, every hand is independent. You make each decision — call, raise, fold — based on chip expected value: what's this action worth in big blinds, right now, against this range?

Squid Classic adds a second dimension of EV to every decision. Each hand carries not just its chip value but also its squid equity — the probability-weighted change in your risk of being the game-end loser. Win a pot and your squid equity jumps (you're safe now). Don't win and you stay exposed. This forward-looking term layers on top of standard chip EV.

The consequences cascade:

• Every preflop range widens. Hands that are chip-negative to enter can still be overall +EV once the squid-equity term is added. At val=3, BTN goes from 43.3% VPIP in Cash to 67.1% in Squid — almost 24 percentage points wider. SB hits 99.6%.
• Limping returns as a legitimate strategy. Limping is the minimum-chip-cost way to enter a pot and take a shot at winning a squid. For hands too weak to raise but not too weak to play, limping is equilibrium — not a leak.
• The position gradient amplifies. Later positions already had higher baseline chip-EV in Cash. Adding a positive squid-equity term to an already-favorable starting point widens them more. UTG adds 8.4pp at val=3; BTN adds 23.8pp.
• Strategy becomes state-dependent. A safe player's squid-equity term drops to zero — they've already locked in their reward. A desperate player's squid-equity term is positive and growing with val. Your range depends on your own squid state AND on each opponent's state.
• Some Cash theories reverse. BB overdefends rather than underfolds minimum defense frequency (the threshold below which folding is exploitable). AA becomes a protection-bet on boards like 8h6d4h where Cash theory says check. Pocket-pair blocker logic on A-high boards flattens entirely.
• Late streets revert toward Cash. The squid-equity term is forward-looking and settles at pot completion, not per-street. Turn and river decisions return to near-Cash play because the range filter at flop entry has already done its work.

What "compounds" and what doesn't

A common misreading of Squid Classic is that "folding costs you a penalty" — as if every fold subtracts something from your stack. That's not how the mechanic works, and the distinction matters for how you think about decisions.

Folding doesn't cost you a squid. Folding doesn't subtract squid equity. You can't lose a squid you don't have, and you can't lose one you do have. The only thing folding does is end your chance to win this particular pot — which means one fewer opportunity to earn a squid if you don't already have one.

The pressure is a forward-looking incentive, not a direct cost attached to folding. The fewer pots remain before the game ends, the fewer chances a desperate player has to get safe. That's what drives range widening — the increasing scarcity of opportunities to win a squid, not a mechanical deduction per fold.

And in Classic mode specifically, the squid is binary. Once you have one, you're done. There's no compounding — winning a second pot doesn't help you, and losing a pot after you're safe doesn't hurt your squid status. The "once safe, done" property is unique to Classic. (Blood Battle and Double modes, which use accumulating squids, work differently — but those modes are outside the scope of this research.)

A word on the label "desperate"

Throughout this document, "desperate" means no-squid — the player currently at risk of being the game-end loser. The label describes the player's position relative to the penalty, not their emotional state or the quality of their hand.

A desperate player at CO with 42.9% VPIP at val=3 is playing wide because the math says entering pots is +EV when squid equity is factored in. A safe player at the same seat with 21.4% VPIP (facing one desperate opponent) is playing tight because their squid-equity term is zero and the desperate opponent won't fold to aggression.

The labels are functional. They tell you which side of the squid incentive a player is on, and that's what determines their strategy.

Where the rules come from

Every rule described in this part traces to GAME-RULES.md — the ground-truth rules reference for all Squid Classic research. That file captures the literal Classic mode rules in plain English, cross-verified against the AceSense product specification (the independent product-side documentation for the live game). The two sources match on every rule: total squids = N − 1, binary cap, main-pot-winner-only awarding, no squid on split pots, and the (N − 1) × val loser penalty.

The strategic observations (VPIP widening, state-dependent ranges) trace to the raw behavioral data in the research files and are developed in full in Parts 2–8.

Every position widens. The gradient amplifies.

Squid Classic rewrites preflop strategy from the first decision. Every position opens wider than Cash, and the magnitude of widening grows as you move around the table.

Here is what the model does at four val levels, position by position:

Preflop VPIP by position and val. Same stack depth (100bb), same 6-max format — only the Squid val parameter changes.

Source: squid-deltas.md Table 1 lines 62–70

The position gradient — the fact that later positions play wider — is preserved and amplified. Cash already has UTG at 17% and BTN at 43%. At val=3, UTG adds only 8.4 percentage points while BTN adds 23.8 and SB adds 41.7. The gap between early and late positions grows, not shrinks.

SB is the extreme case. At val=3, SB plays 99.6% of hands — essentially every combo in the deck. Even at the minimum trained val (val=1), SB jumps from 57.9% to 85.8%, a +27.9pp step that dwarfs every other position's Cash-to-val=1 move.

The amplification at later positions reflects that those positions already had the highest pot-winning edge in Cash. Adding a positive squid-equity term to an already-favorable starting point creates the biggest net gain.

Limping is back — and it is not a leak

In modern Cash NLHE, solvers do not limp. Raising or folding strictly dominates. In Squid, limping returns as a legitimate third option — and for SB it becomes the dominant action.

Preflop limp % by position. Cash limp is 0% at every position except SB (which completes 31.5% in Cash).

Source: squid-deltas.md lines 315–319, 787. UTG/MP/BTN val=10 limp data not extracted in the current dataset; CO val=10 from squid-deltas.md line 135.

At val=3, BTN limps almost a third of the time. SB limps 98.3% — raising only 1.3% of the time. At val=10, CO limps 75.5% of the hands it enters. This is not a model quirk. It is the equilibrium strategy for the middle (and bottom) of each position's range.

SB is the extreme limper because SB faces both halves of the limping incentive at once: the minimum entry cost (0.5 BB to complete, since SB has already posted 0.5 BB) and the worst fold-equity opportunity (BB has the best pot odds at the table to defend any raise). The model correctly identifies that at val=3, raising from SB generates almost no fold equity and costs 1.5 BB more than limping.

Two control cases confirm the mechanism:

• When hero already holds a squid (safe), limping drops to near 0%. The forward-looking squid-equity incentive to enter is gone, and limping reverts to being dominated.
• When hero is the last player without a squid (hero-last), limping drops to 2.4% despite 88.8% VPIP. A desperate hero needs to win pots, and raising generates fold equity that limping does not. Hero-last polarizes toward raising (Part 6 covers this in detail).

When hero is safe, ranges tighten toward Cash

Here is what happens when the widening incentive disappears. A player who already holds a squid is safe — their forward-looking squid-equity gain from winning another pot is zero (Classic mode caps squids at 1 per player). The model plays accordingly.

Hero-has CO at val=3 with 0 no-squid opponents: 26.7% VPIP — within 1.4pp of the Cash baseline of 28.1%.

This specific measurement is directionally supportive, not a clean experimental control — see the Research notes at the end of this part for why.

State dynamics: desperate opponents versus safe opponents

"Desperate" in this document means no-squid — the player currently at risk of being the game-end loser. "Safe" means has a squid. These labels match the literal Classic mode rules: a squid is a win token, and the only player who ends without one pays the penalty.

The model reads each opponent's squid state and adjusts hero's range. Two complementary gradients emerge.

When hero has no squid (desperate), CO position, val=3:

Source: squid-deltas.md lines 150–160

When hero has a squid (safe), CO position, val=3:

Source: squid-deltas.md lines 163, 379–384. The 0-no-squid-opponent row requires 6 squids distributed in a 6-max Classic game that has only 5; see Research notes for the full explanation.

The spread between the most aggressive legal state (hero-last, 88.8%) and the most conservative (hero safe with 3 no-squid opponents, 12.9%) is 75.9 percentage points. That is the full range of how much the same position, at the same val, adjusts based purely on squid state.

• Safe opponents can fold. They have no forward-looking squid-equity incentive to defend — folding is cheap for them. Aggression against safe opponents is profitable.
• Desperate opponents will not fold. They need to win pots before the game ends. Fold equity against them is depressed.

So hero (desperate) facing many safe opponents has high fold equity and widens to exploit it. Hero (safe) facing many desperate opponents has no fold equity and no squid-equity incentive — so hero tightens to value-only.

The intermediate states interpolate smoothly: each additional safe opponent adds roughly 13–16pp to a desperate hero's VPIP, and each additional desperate opponent removes roughly 4.5pp from a safe hero's VPIP.

BB reads the opener's state too

The per-seat squid awareness goes both directions. BB adjusts its defense based on whether the opener has a squid.

BB defense versus CO at val=3:

Source: squid-deltas.md lines 328–331

A squid-holding CO has no squid-equity pressure to open marginal hands — they are already safe. Their opening range is therefore stronger than a fresh CO's range (closer to the Cash baseline). BB reads this correctly: defense drops 14.7pp and 3-betting drops 23.9pp against the tighter range.

The 3-bet drop is larger than the defense drop because 3-betting the wider (fresh) range is the more profitable exploit. Against a tighter (has-squid) range, 3-betting runs into more genuine value and the fold equity from 3-betting shrinks.

The adjustment works in both directions. CO also reads BB's state:

• Fresh BB: CO opens 25% of its range at 7.2bb.
• BB has no squid (desperate): CO opens 5% at 7.2bb.
• BB has a squid (safe): CO opens 37% at 7.2bb.

Source: squid-deltas.md lines 333–336. Open-raise size is constant at 7.2bb across all three conditions; only the frequency changes.

Against a desperate BB who defends almost everything, CO slashes its open-raise frequency — there is no fold equity. Against a safe BB who can afford to fold, CO opens more than twice as often.

The three findings at a glance

The preflop story in Squid Classic comes down to three ideas:

1. Wider everywhere. Every position opens wider. The widening scales with val and with position. SB saturates near 100% by val=3.
2. Limping is equilibrium. Limping is the minimum-cost path to squid equity for hands too weak to raise. SB limps 98.3%, BTN limps 30.2%, CO limps 15.5% at val=3.
3. State determines everything. A desperate hero facing safe opponents plays 88.8% of hands. A safe hero facing desperate opponents plays 12.9%. Same position, same val, 75.9pp apart.

The val parameter is a dial, not a switch

The val=3 numbers above are the standard reference point, but val is a continuous dial. Here is what CO VPIP looks like across all six trained val levels:

CO VPIP across all trained val levels. The widening is monotonic and smooth — no regime switches, no discontinuities.

Source: squid-deltas.md Table 1 lines 62–70

At val=1, CO barely moves from Cash (+3.4pp). By val=5, CO plays more than half its hands. At val=10, CO plays three out of four. The takeaway: whatever val your table is running, interpolate between these anchors. There are no regime switches — the widening is smooth from end to end.

3.1 BB defends almost every hand

BB's defense expansion is one of the largest strategy shifts in Squid Classic. In Cash, BB vs a CO 2.5bb open defends 51.8% of hands. At val=3, that number is 95.8%. At val=10, it rounds to 100.0%.

The full picture across four opener positions and six val levels:

BB defense rate (%) vs 2.5bb opens, by opener position and val.

Source: squid-deltas.md Table 2 lines 78–84. Dash (—) indicates untested val for that opener.

Three things jump out of this table.

The Cash→v1 step is enormous. Against CO, BB goes from defending 51.8% to 81.4% — a +29.6pp jump just from switching to Squid at the minimum trained val. Against UTG (the tightest opener), the step is +23.7pp. Against BTN, +26.5pp. This is the single biggest behavioral shift when you move from Cash to Squid at the lowest penalty level.

Val-scaling is smooth and monotonic. Once you're past the Cash→v1 threshold, defense rates climb steadily through v3, v5, and v10. Against CO, the trajectory is 81.4% → 90.0% → 95.8% → 99.4% → 100.0%. There's no plateau — each val increment pushes BB closer to defending everything.

Saturation happens around val=5 to val=10. Against CO and BTN, BB is already at 99.4% and 99.6% at val=5 — functionally 100%. Against UTG, it takes until val=10 (99.7%) to fully saturate. The tighter the opener, the longer it takes for BB's defense to hit the ceiling.

Why it's that extreme. BB faces the same strategic math as every other position: each hand is a chance to win a pot and gain a squid, and folding forgoes that chance. But BB has a structural advantage that amplifies the effect. BB already has chips invested in the pot. The additional cost to defend is small relative to what's already committed. In Cash, that pot-odds advantage produces a wider defense than other positions would have. In Squid, the squid-equity term — the forward-looking value of having a shot at winning this hand — stacks on top of an already-favorable starting point. The combination pushes BB defense toward saturation faster than any other decision in the preflop tree.

3.2 What BB adds is offsuit junk

The defense expansion is dramatic. But what kind of hands is BB adding? This matters, because the answer determines what happens on the flop — and the flop is where several Squid-specific mechanisms depend directly on the composition of BB's range.

The answer is overwhelming: BB's widening is almost entirely offsuit junk.

BB defense composition by hand category, vs CO 2.5bb open. Each row shows the number of combos (out of 1326 total) that defend at each val level.

Source: squid-deltas.md Table 9 lines 421–449.

Look at the first six rows: premiums, strong hands, medium pairs, suited aces, suited broadway, and offsuit broadway. Every one of those categories is already at maximum in Cash. BB is defending 100% of AA–JJ, 100% of AKs, 100% of 77–22, 100% of offsuit broadway — in Cash. The Squid overlay has nothing to add to these categories.

Suited connectors add 6 combos from Cash to v1. Suited junk adds 74 combos. These are real but small.

The story is in the bottom row. Offsuit junk goes from 102 combos (Cash) to 463 combos (v1) to 730 combos (v3) to 815 combos (v10). That's +361 combos from Cash to v1, which is 82% of all hands added to BB's defense range at the first val step. By v3, offsuit junk accounts for 88% of the added hands (628 of 716 new combos).

The cross-position sanity check — BB vs BTN instead of BB vs CO — shows the same pattern. Against BTN, offsuit junk is 86.5% of the Cash→v1 growth (365 of 422 new combos). The compositional signature is not opener-specific.

This single compositional fact — that BB's Squid-added hands are overwhelmingly offsuit junk — is the foundation for the flop c-bet findings in Parts 4 and 5. It explains why CO c-bets 98% on dry boards, why monotone boards show the largest c-bet deltas in the dataset, and why the mid-connected boards 654/765/876r are the sole exceptions. On those three boards, BB's junk does connect — and the dynamics flip. Every flop pattern traces back to this composition table.

3.3 BB overdefends MDF — the Cash "BB overfolds" reversal

In Cash NLHE, BB systematically underdefends minimum defense frequency — the threshold defense rate that prevents an opponent from auto-profiting with pure bluffs. MDF is a foundational chip-EV concept: if you fold more than MDF, your opponent can print money by betting any two cards. Cash BB falls below that threshold by 7–13 percentage points depending on the open size.

In Squid v3, the direction flips completely. BB doesn't just meet MDF — BB overdefends it by 39–44 percentage points.

BB defense vs MDF, Cash and Squid v3. CO opening at five raise sizes. MDF is the theoretical chip-EV floor calculated from the raise size.

Source: squid-deltas.md Table 18 lines 682–712. Dash (—) indicates Squid v3 was not tested at 4.0bb and 5.0bb open sizes.

The Cash pattern is clean: BB underdefends MDF at every tested raise size, and the underdefense grows slightly with larger opens (−7.0pp at 2.0bb, −12.8pp at 3.0bb). This is the well-documented "BB overfolds" finding in Cash NLHE — BB concedes more to larger bets than MDF says it should.

The Squid v3 pattern is the mirror image: BB overdefends MDF at every tested raise size, and the overdefense is massive (+39.2pp at 2.0bb, +43.5pp at 2.5bb, +41.8pp at 3.0bb). BB is defending nearly every hand at every size.

The MDF formula doesn't know about squid equity. Applying it to Squid gives you the wrong answer — not by a little, but by 40+ percentage points.

The position-dependent caveat: Cash "BB overfolds" is actually narrow-opener-only

The "BB overfolds MDF" finding in Cash is less universal than it first appears. When the opener is wide — specifically SB — BB actually overdefends MDF even in Cash.

BB defense vs SB open at 2.5bb, by val.

Source: squid-deltas.md Table 22 lines 797–804.

Cash BB vs SB at 2.5bb: 70.9% defense, +20.9pp above MDF. Compare that to Cash BB vs CO at 2.5bb: 39.6% defense, −10.4pp below MDF. The direction of the deviation depends on who opened.

The pattern makes sense once you think about what MDF assumes. MDF says "defend this much to stop auto-profit bluffs." Against a tight opener (UTG, MP, CO), the opener's range is value-heavy — the MDF calculation overstates the bluff component, and BB correctly folds more than MDF suggests. Against a wide opener (SB), the opener's range genuinely includes a lot of bluff-candidate hands, and BB correctly defends above MDF to exploit the wide range.

So the actual Cash pattern is:

• Vs narrow openers (UTG/MP/CO): BB underdefends MDF by 7–13pp. The "BB overfolds" label is accurate here.
• Vs wide openers (SB): BB overdefends MDF by +20.9pp. The "BB overfolds" label is wrong here — BB was never overfolding against SB.

Squid simplifies this: BB overdefends MDF against every opener, because every opener has a wider range in Squid (the squid-equity term pushes all opening ranges wider) AND the squid-equity cost of folding pushes BB's threshold above MDF regardless. The position-dependent Cash nuance gets absorbed into a uniform "overdefend everything" Squid pattern.

(There's a caveat on exactly where the Cash crossover happens — see the Research notes at the end of this part.)

The flop is where the biggest Squid-specific differences live. The patterns split cleanly by board texture — some boards amplify your c-bet, one narrow group suppresses it, and a few Cash theories break entirely.

All data in this part is CO vs BB, single-raised pot, 100bb stacks unless noted otherwise.

4.1 Dry rainbow, A-high, and paired boards: bet almost everything

Six board textures. All rise to 91–99% c-bet frequency in Squid at val=3.

CO flop c-bet frequency on six non-connected, non-monotone board textures. Same position (CO vs BB), same stack depth (100bb), same preflop action — only the board changes.

Source: squid-deltas.md Table 3 lines 92–108

The headline: A94r has the largest delta at +33.5pp. In Cash, CO c-bets A94r only 64.9% of the time — it's a spot where range advantage is contested. In Squid v3, that same spot is 98.4%. Nearly every combo bets.

The dry rainbow boards (K72r, J72r, Q83r) were already high-frequency c-bet boards in Cash (74–87%). In Squid they saturate near 98% at val=1 and barely budge from there through val=10. The penalty pressure has almost nothing to add because CO was already betting most of the time.

The paired boards (KK5, 772) show steady growth across val levels. 772 is the slowest to catch up — from 71.6% in Cash to 91.0% at val=3 — because BB's wider range includes small pocket pairs (77, 22) that actually connect with a paired-low board. Still, 91% is a lot of betting.

4.2 The mid-connected exception: 654, 765, 876r

Three boards where CO c-bets less in Squid than in Cash. This is the only texture group in the entire dataset where the direction reverses.

CO flop c-bet frequency on the three exception boards. Full val trajectory from the M4-scope testing.

Source: squid-deltas.md Table 27 lines 942–951 (M4-full-val-results). The direction — all three boards bet less in Squid — is stable across training runs. The exact magnitudes vary; cite the pattern, not the specific numbers.

All three boards are negative at every tested val. The strength ranking is val-dependent (at val=1 the ordering differs from val=3), so the pattern to trust is the direction, not a specific ranking.

Even premium hands slow down. On 765 specifically, the Premium (AA–JJ) hand category bet frequency drops from 36% (Cash) to 20% (val=1). CO's strongest hands are slow-playing on 765 in Squid because BB's range is actually strong enough that betting into it is not profitable.

Scope: this applies only to {654, 765, 876r}. Other mid-connected boards do not reverse:

• 543 is +2.4pp Cash→val=1 (near zero — transition zone)
• 432r is +12.6pp (clearly positive)
• 987r is +3.9pp (positive)
• T98 is +25.5pp (strongly positive — CO has JT/QJ/KQ/T9 that hit T98)

And in 3-bet pots, the entire reversal disappears. On 765 in a 3-bet pot, Cash→v3 is +17.5pp — CO-favorable. BB's 3-bet range is tight and polarized (AA–TT, AK, AQs) and does not contain the low connectors that drive the reversal. The mechanism is about which hands BB has in range, not about the board texture alone.

4.3 Monotone boards: bet aggressively despite the intuition

The counterintuitive finding. Monotone boards show the largest positive c-bet deltas in the entire dataset.

CO flop c-bet frequency on monotone boards across val levels.

Source: squid-deltas.md Table 3 lines 106–107

K94ss goes from 32.2% in Cash to 86.9% in Squid v3. That is a +54.7pp delta — the single largest positive shift in the preflop-to-flop tree.

The intuition says: "monotone boards protect BB with flush draws, so CO should be cautious." The data says the opposite. Why?

Q73ss shows a similar pattern: roughly +55pp Cash→v3, matching K94ss. The mechanism generalizes across monotone textures.

Important scope limit: this finding is heads-up only. In multiway pots, at least one additional caller is likely to have flopped genuine flush equity, which reverses the fold-equity math. Do not extend this to multiway pots.

4.4 Cash slow-play theory splits by texture

In Cash, the solver slow-plays premium hands on certain wet and monotone boards. In Squid, whether that slow-play survives depends on why it existed in the first place.

Premium hand slow-play across four tested spots. "Structural" slow-plays survive the penalty; "pot control" slow-plays collapse.

Source: squid-deltas.md lines 615–623

The split is clean. When the slow-play exists because of a structural danger to your range (KK is genuinely weak on a monotone board without a spade; AA genuinely cannot value-bet into BB's connected range on 765), the penalty pressure does not override it. When the slow-play exists for generic pot-control reasons ("I'm ahead, let me check for deception"), the penalty washes it away.

4.5 Protection betting AA on 8h6d4h: the Cash rule cleanly reverses

In Cash, betting AA on 8h6d4h is a known mistake. The expected loss versus checking is roughly 7% of pot. The solver checks 99.7% of the time. In Squid, this theory breaks entirely.

AA bet frequency on 8h6d4h across val levels. The Cash→Squid reversal is smooth and monotonic.

Source: squid-deltas.md lines 589–596

From 0.3% to 98.9%. That is one of the cleanest Cash-to-Squid theory breaks in the dataset.

Why does the calculation flip? Three factors shift together:

4.6 Pocket pairs on A-high: the Cash non-monotonicity flattens

In Cash, pocket pairs on A-high boards show a distinctive non-monotonic pattern — blocker logic and kicker interactions dominate raw hand strength. In Squid, the pattern flattens.

Pocket-pair bet frequency on an A-high board (CO c-bet decision). Cash vs Squid v3.

Source: squid-deltas.md lines 705–716

Look at the Cash column. KK checks 98% of the time — it's an overpair on an A-high board, and the blocker/vulnerability logic says to slow down. 99 bets 98% because it flopped a set. 88 only bets 16%, despite being a lower pair than TT (73.5%). Blocker reasoning dominates raw pair rank.

Now look at the Squid v3 column. Every pair bets between 70% and 100%. The non-monotonicity collapses. KK goes from checking 98% to betting 70%. 88 goes from checking 84% to betting 96%. The penalty pressure overrides the Cash blocker-driven logic.

4.7 Overbet usage grows

In Cash, the solver almost never overbets the flop — 0.09% of bets. In Squid v3, overbet usage rises to roughly 5% of bets on dry rainbow and monotone boards. That is approximately 50–60× more frequent.

Source: squid-deltas.md lines 752–758

The mechanism is consistent with what the rest of this part shows. Squid creates more situations where CO has extreme range advantage against BB's widened junk. On dry rainbow boards (K72r) and monotone boards (K94ss), that advantage is large enough to justify overbet sizing — 150%+ pot — because BB's junk will fold to any size and CO's value hands extract more from BB's rare continuing range.

Cash theory shifts on the flop

Three Cash theories tested in Squid with clear verdicts:

Sources: squid-deltas.md lines 589–596, 615–623, 705–716

The common thread: Cash theories that rely on fine-grained blocker interactions and pot-control nuances break when BB's range is 82% junk. The texture-dependent slow-play split is the one exception — structural danger (genuine range disadvantage, genuine flush vulnerability) survives because it's not about nuance, it's about fundamental range weakness.

Twenty-four takeaways from Parts 2 through 8, compressed for reference. Every number traces back to the part where it was first presented. If you want the data table, the mechanism, or the scope qualifier behind a takeaway, follow the part reference.

Status notes: Parts 2, 3, and 4 are published in full. Parts 5 (Later Streets), 6 (Hero-Last), 7 (3-Bet Pots), and 8 (Open Questions) are stubs — their takeaways are included here for completeness because the underlying data exists in the source research, but the full write-ups have not been through the same editorial and coach-review process as Parts 2–4. Takeaways from stub parts are marked with an inline *[Part N not yet published]* tag.

Preflop (Part 2)

1. Every position opens wider in Squid. The gradient amplifies.

At val=3, roughly add +8pp for UTG, +6pp for MP, +15pp for CO, +24pp for BTN, and saturate SB near 100%. The widening grows monotonically with position — later seats gain more because they started with higher baseline chip-EV in Cash.

2. Limping is not a leak — it is the equilibrium strategy for a large chunk of each position's range.

BTN limps 30.2% of hands at val=3. CO limps 15.5%. SB limps 98.3%. These are not mistakes. Limping is the minimum-chip-cost way to enter a pot and take a shot at winning a squid when your hand is too weak to raise but the penalty for folding is too high.

3. If you already hold a squid, play closer to Cash.

A safe hero's squid-equity delta from winning another pot is zero (Classic's binary cap). Your range shrinks back toward Cash levels — and shrinks further as the number of no-squid opponents at the table grows, because those opponents defend wide and your fold equity drops. The specific "safe hero at 0 desperate opponents plays 26.7% (≈ Cash 28.1%)" measurement is directionally supportive, but the exact magnitude has a caveat — see Part 2 §2.3.

4. Count the squids before every decision.

Your state and your opponents' states determine the entire strategy. At CO val=3, the spread between the loosest legal state (hero desperate, 3+ safe opponents → 88.8% VPIP) and the tightest (hero safe, 3 no-squid opponents → 12.9% VPIP) is 75.9 percentage points. That is not a marginal adjustment — it is a different game. Ask two questions before every hand: "Am I safe?" and "How many safe opponents do I face?"

5. From the BB, read the opener's squid state.

BB defense vs a fresh CO at val=3 is 95.8% with a 30.2% 3-bet rate. Against a squid-holding CO, defense drops to 81.1% and the 3-bet rate collapses to 6.3%. A squid-holding opener has no squid-equity pressure to open marginal hands — their range is stronger and closer to Cash. Tighten your 3-bets against squid-holders; widen them against fresh openers.

BB Defense (Part 3)

6. Defend nearly every hand from the BB at val=3.

BB defense vs a CO 2.5bb open goes from 51.8% in Cash to 95.8% at val=3 to 100.0% at val=10. Hands that are auto-folds in Cash (K4o, J6o, low offsuit gappers) become mandatory calls. The math is straightforward: folding forfeits squid equity, and BB already has the best pot odds at the table.

7. The hands BB adds are junk — and that matters for everything that follows on the flop.

82% of the hands BB adds between Cash and val=1 are offsuit junk. 17% are suited junk. 1% are suited connectors. Premium and strong-pair categories were already defending 100% in Cash. This compositional signature drives the flop c-bet findings in Part 4: when CO bets the flop, most of BB's new defending range has nothing.

8. BB overdefends MDF in Squid — the Cash MDF formula does not apply.

In Cash, BB underdefends MDF by 7pp against a CO 2bb open (53.0% defense vs 60.0% MDF). In Squid val=3, BB overdefends by +39.2pp (99.2% defense vs 60.0% MDF).

Flop C-Bet (Part 4)

9. Dry rainbow, paired, and A-high boards: c-bet almost everything.

Cash c-bet frequencies in the 65–86% range rise to 91–99% in Squid val=3. K72r goes from 83.6% to 98.1%. A94r goes from 64.9% to 98.4%. Q83r goes from 74.2% to 96.5%. BB's defending range is 82% offsuit junk with no equity on these textures — the c-bet folds it out.

10. The mid-connected exception: 654, 765, 876r are the three boards where CO c-bets LESS in Squid than in Cash.

All three boards show negative c-bet deltas at every tested val. On 654, Cash 56.5% drops to 31.4% at val=3. On 765, Cash 65.3% drops to 42.4%. On 876r, Cash 62.8% drops to 51.6%. BB's added range on these boards is low connectors and small pocket pairs — hands that actually hit. Range advantage flips to BB. Scope: this applies only to these three specific boards in single-raised pots. 543 (+2.4pp), T98 (+25.5pp), 987r (+3.9pp), and 432r (+12.6pp) all show positive deltas. In 3-bet pots, the pattern reverses entirely — see takeaway 22.

11. Monotone boards: bet aggressively despite the flush-draw intuition.

K94ss goes from 32.2% in Cash to 86.9% at val=3 — a +54.7pp delta, the largest in the dataset. 652ss goes from 47.5% to 93.2%. The intuition that monotone boards protect BB via flush draws is wrong for the range BB is actually defending with: 82–87% of BB's added hands are offsuit with no flush potential. The flush-carrying hands were already defending in Cash.

12. Slow-play for structural reasons, not for pot control.

A slow-play motivated by structural range danger survives into Squid. KK on K94ss (no spade blocker, unblocked nut flush): Cash 0% bet → val=3 5.5% bet — still a slow-play. AA on 765 (M4 range reversal): Cash 0.2% → val=3 1.5% — still a slow-play. A slow-play motivated by generic pot control collapses. AA on T98: Cash 62% → val=3 89%. AA on K94ss (Ace of spades blocks nut flush): Cash 67% → val=3 97%.

13. The Cash "protection betting is overvalued on 864" theory reverses cleanly.

AA on 8h6d4h: Cash 0.3% bet → val=1 20.6% → val=3 47.4% → val=5 83.4% → val=10 98.9%. In Cash, betting AA here isolates against a draw-heavy range for negative EV. In Squid, BB's wider defense range includes more non-draw junk that folds, and the penalty cost of surrendering equity through free cards compounds. Protection betting becomes correct on the exact board where it was wrong in Cash.

14. The Cash non-monotonic blocker logic (KK 2%, 99 98%, 88 16%) flattens out.

In Cash, pocket pairs on A-high boards show sharply non-monotonic bet frequencies — blocker logic dominates raw hand strength. In Squid val=3, every pocket pair from KK to 77 bets between 70% and 100%. KK goes from 2.1% to 70.4%. QQ from 9.7% to 92.5%. 88 from 15.8% to 96.0%. Penalty pressure overrides blocker reasoning: the decision simplifies to "bet any hand with sufficient equity against BB's widened calling range."

15. Overbet usage grows from near-zero to ~5% of bets on dry and monotone boards.

Cash overbets the flop 0.09% of the time. Squid rises to ~5% on K72r and K94ss-type textures — roughly 50–60× more frequent. Squid creates more "extreme nut advantage" situations on dry and monotone boards, and overbets become a viable sizing at val=3+.

Later Streets — Part 5 [not yet published]

Part 5 covers turn barrels, delayed c-bets, probes, limped-pot postflop play, check-raise dynamics, and river sizing. The full write-up is pending. Takeaways below are drawn from the source research and included for completeness.

16. Barrel less on the turn after a flop c-bet gets called.

On K72r with a blank turn, Cash barrels 58.2% — Squid val=3 barrels 49.0% (−9.2pp). With an ace turn, Cash 74.5% → Squid 61.1% (−13.4pp). The wider Squid flop c-bet does NOT mean wider turn pressure. Give up more bluffs on the turn; keep the value barrels. Exception: when the turn card pairs the board (King on K72r), the barrel direction flips — Cash 22.2% → Squid 31.5% (+9.3pp). The pairing turn gives CO's range additional value and fold equity that override the general direction. [Part 5 not yet published]

17. When you check the flop, plan to fire the turn at a higher rate than Cash.

K72r with a blank turn after a flop check: Cash 65.9% → Squid val=3 82.7% (+16.8pp). T98 with a blank turn: Cash 42.7% → Squid 55.2% (+12.5pp). BB's range was not filtered by a c-bet, so it is still bloated with Squid-defense junk. The delayed c-bet catches that junk unimproved. [Part 5 not yet published]

18. Probe less after IP check-backs.

BB probe after CO check on K72r with a blank turn: Cash 35.4% → Squid val=3 27.6% (−7.8pp). On T98: Cash 55.7% → Squid 49.3% (−6.4pp). An IP check-back in Squid is a weaker signal of weakness than in Cash — IP's range is wider, and the check-back includes more hands that are not pure weakness. BB's probe loses fold equity. [Part 5 not yet published]

19. In limped pots, play cautiously postflop.

BB bet frequency after SB limp on K72r: Cash 69.6% → Squid val=3 51.4% (−18.2pp). T98: Cash 58.1% → Squid 37.8% (−20.3pp). 543: Cash 23.1% → Squid 9.0% (−14.1pp). Neither player has a clearly stronger range after a limp-limp. Value betting and fold equity both drop. Note: this finding covers flop decisions in limped pots only. Turn, river, and multi-street post-limp lines are zero-coverage areas. [Part 5 not yet published]

20. Facing a check-raise: fold more, re-raise less.

CO facing BB's check-raise on K72r: fold goes from 31.5% in Cash to 50.7% in Squid val=3 (+19.2pp). Re-raise drops from 42.5% to 5.6% (−36.9pp). The c-bet was wide; when BB shows strength, the bluffs fold and the value range tightens. Scope: CO and BTN show this fold-heavy collapse on all tested textures. UTG and MP show a board-conditional split — connected boards (T98) hold the direction, but all high-card dry boards (A-high, K-high, Q-high) reverse. [Part 5 not yet published]

Hero-Last and Desperation Polarization — Part 6 [not yet published]

21. Hero-last: raise big pairs, fold small pairs, and don't limp.

Hero-last enters 88.8% of hands but limps only 2.4% — the solver raises almost everything playable. There is a sharp raise-vs-limp threshold in the pocket pairs: raise the big pairs, fold the small ones. On the current model, the threshold sits around 88/77 at val=3, but the specific pair-rank floor is approximate — per-pair postflop data is unavailable due to an API extraction gap. Full details in Part 6. [Part 6 not yet published]

3-Bet Pots — Part 7 [not yet published]

22. In a 3-bet pot, c-bet 654/765/876r aggressively — the SRP exception reverses.

On 765 in a single-raised pot, Cash→val=3 is −7.6pp (the M4 exception). In a 3-bet pot, Cash→val=3 is +0.9pp. BB's 3-bet range does not contain the low connectors and small pocket pairs that drive the SRP range-advantage reversal. Without those hands, 765 no longer favors BB. [Part 7 not yet published]

23. 3-bet pot c-bets on dry boards are even more automatic than SRP c-bets.

K72r Cash→val=3 delta: +14.5pp in SRP, +28.0pp in 3-bet pots. KK5: +18.3pp in SRP, +32.3pp in 3-bet pots. The 3BP Cash baseline is lower (CO is more selective), which gives the squid penalty more headroom to push c-bet frequency up. [Part 7 not yet published]

24. On A-high boards in 3-bet pots, c-bet less than you would in SRP.

A94r Cash→val=3 in SRP is +33.5pp. In a 3-bet pot, the delta drops to +15.7pp, and the overall bet frequency falls from 98.4% (SRP) to 62.4% (3BP). BB's 3-bet range has most Ax hands (AK, AQ, AJs) — roughly 35% of that range hits top pair or better on A94r. Fold equity collapses. [Part 7 not yet published]

How to use this page

Three scope notes that are easy to miss when scanning the takeaways above:

• Takeaway 10 (mid-connected exception) has precise boundaries. The negative c-bet delta applies only to 654, 765, and 876r in single-raised pots. It does NOT apply to 543 (+2.4pp), T98 (+25.5pp), 987r (+3.9pp), or 432r (+12.6pp). And in 3-bet pots, the pattern reverses entirely (takeaway 22). Applying takeaway 10 outside these three specific boards in SRP is a misapplication.
• Takeaway 4 (count the squids) is the load-bearing dependency for almost everything else. Takeaways 3, 5, 9, 10, and 20 all change character depending on hero's state and opponents' states. "C-bet almost everything on dry boards" (takeaway 9) assumes a standard fresh-game state. If hero is safe with three desperate opponents, fold equity drops and the c-bet math changes. If you remember one takeaway, make it this one.
• Takeaway 16 (turn barrel decrease) has a board-pair exception. The general direction is "barrel less on the turn after a flop c-bet." But when the turn card pairs the board (e.g., a king on K72r), the barrel direction flips positive (+9.3pp). The pairing turn gives CO's range additional value and fold equity that override the general direction.

Provenance

• Behavioral data (frequencies, deltas, percentages): all numbers trace to squid-deltas.md and the underlying batches_*/R_*.json query files.
• Causal mechanisms: hypotheses-and-mechanisms.md and causal-explanations.md.
• Rules derivations: GAME-RULES.md (literal Classic mode rules, source of truth for squid equity, penalty structure, and state definitions).