Solvers and when to apply them

• Heads up nodes within a hand tree with fixed sizes, stacks, and ranges.
• Zero sum models with no tells, perfect counting, and instant calculations.
• Outputs are strategy frequencies and EV for each action by combo and street.

Think of a solver as a map of the terrain under clean conditions. Real tables add weather. You will often follow the map, and sometimes take a detour for higher EV.

• Common two player spots: single raised pots BTN vs BB, 3-bet pots SB vs BTN, blind vs blind.
• Standard stacks and menus: 100 bb cash or 30 to 60 bb MTT with two sizes per street.
• Board families: A high rainbow, low connected two tone, paired. Great for rule extraction.
• Rivers: size based bluff to value ratios and MDF are transferable to real games.
• Unknown or strong opponents: a GTO leaning baseline protects you from counterplay.

• Multiway pots bluff less and go thicker for value. Most solvers do not model 3 plus way well.
• ICM and bubbles tournament risk changes everything. Tighten calls and lower variance lines.
• Live player pools if opponents under bluff large river bets, fold more bluff catchers than GTO suggests.
• High rake micros open slightly tighter and size smaller preflop than rake free solves propose.
• Weird sizes or lines limp pots, tiny block bets, odd min raises. Use population reads and database, not a generic tree.

• Cash 100 bb very solver friendly. Use board class rules and two size menus.
• Deep cash 150 to 250 bb more raising and larger polar sizes. Still solvable with clean trees.
• MTT 15 to 40 bb include antes and short stack jams. Use push fold tools for sub 15 bb and postflop solves for 20 to 60 bb.
• Live low stakes solver baseline plus clear exploits. Value bet bigger, trim pure bluffs, simplify sizes.

• Preflop use charts as a starting point. Adjust opens for rake and table looseness. 3-bet linear out of position, more polarized in position.
• Flop map size to range shape. Range advantage equals small merged bets. Nut advantage equals larger polar bets.
• Turn continue on cards that help your range or hurt theirs. Reduce barrels when equity shifts against you.
• River anchor to math. Bluff share among bets ≈ B ÷ (P + B). MDF for the caller ≈ P ÷ (P + B). Prefer blockers that remove value combos.

• Nits and overfolders to big sizes increase bluff frequency and use bigger polar bets on credible runouts.
• Calling stations cut pure bluffs, expand value range, size up value on turns and rivers.
• Aggro regs who probe and stab more defend checks with stronger hands and raise more for value.
• Unknowns start at baseline for protection then adjust as evidence appears.

When you have a reliable read, lock that behavior in a study tree and compute your best response. Keep exploit notes that repeat across boards such as overfold to overbets or under bluff on paired rivers. Apply those deviations in game until the read changes.

• Off session run solves, extract three rules per board class, and create a two size menu you can remember.
• In session do not chase exact frequencies. Use your card with sizes, rules, and blocker cues. Tag weird spots for review.
• Between sessions compare database buckets to your expectations. Adjust rules if a spot bleeds EV.

• Is the spot heads up with standard sizes and stacks. If yes, start GTO leaning.
• Is there strong evidence of a pool leak in this node. If yes, deviate toward exploit.
• Is it multiway or ICM heavy. If yes, simplify and reduce bluffs.
• Do I have blockers that support the action. If no, prefer the conservative alternative.

BTN vs BB on A 7 2 rainbow solver baseline small c-bet high frequency. In pools that overfold turns on broadway cards, size up on K and Q turns and add bluffs with strong blockers.

River overbet in live pools many players under bluff. Solver might call some bluff catchers, but exploit folds more without top blockers.

MTT bubble 20 bb solver chip EV wants wider calls. ICM says tighter. Follow ICM and drop thin calls and thin bluffs.

Multiway flop 9 8 7 two tone solver heads up lines use polar big bets. Multiway reduce bluffing, prefer checks and thicker value.

• Copying frequencies instead of writing simple rules tied to board classes.
• Ignoring rake, antes, or stack depth so outputs do not match your games.
• Using too many sizes and breaking turn and river plans.
• Applying heads up outputs to multiway spots without adjustments.
• Forgetting protected checks and becoming capped out of position.

• Pick one high volume spot for the week.
• Run a tight tree and extract three rules and a two size menu.
• Write one exploit variant for a clear pool leak.
• Prime with 10 quiz hands in warm up. Apply in game and tag outliers.
• Review bucket results and keep or adjust the rule next week.

• Use solver baselines in common heads up spots with standard stacks and sizes.
• Exploit in multiway, ICM, high rake, and under bluffed live environments.
• Map size to story. Small equals merged with range edge. Big equals polar with nut edge.
• Use blockers to choose bluffs and bluff catchers. Prefer lines that fit your board class rules.
• Study off session, execute simple rules in session, and adjust from database evidence.

Apply solvers where they are strongest, then overlay clear exploits where your pool deviates. That balance keeps you tough to play against and maximizes long term EV.