PKO Bounty Math
Every solver-seeded PKO chart is built on one conversion: bounty in cash → bounty in big blinds. Once you can do it at the table, correct call-off ranges stop being memorised and start being derived.
The single biggest leak in PKO tournaments isn't which hand to open — it's failing to price the bounty on offer when you face a shove. This guide walks the math the MYPKRPRO Preflop Pro and Session Grader use under the hood, in language you can apply at the table with the timer running.
Step 1: Convert bounty into big blinds
A PKO bounty is a cash prize. To use it in a preflop decision it has to be in the same units as your chip stack. Do this:
The ÷ 2 is the "you win half in cash, half on your head" rule. For most operators the starting bounty equals half the buy-in and the starting stack is usually 50–200bb, but plug in whatever your specific tournament used.
Worked example. $22 GG Bounty Hunter. Starting bounty $11, starting stack 15,000 chips at 20/40 (375bb) — but by the time the shove happens blinds are 400/800 so effective stacks are 25bb. Villain has $27.50 on their head (2.5× the start). Then:
Winning this pot is worth an extra 31.25bb in bounty EV on top of whatever chips are in the middle. That's more than the effective stack itself.
Step 2: Add bounty EV to your call price
A chip-EV call-off requires you to have risk / (risk + reward) equity. For a 25bb shove with 1bb of dead money, that's roughly 25 / 51 = 49%.
A bounty-EV call adds the bounty as extra reward:
Same shove with our 31.25bb bounty:
A hand you'd need 49% to call chip-EV, you now need 30% to call bounty-EV. That's the difference between "clear fold" (Q9o, 22, A5o) and "clear call". This is why solver-seeded PKO ranges look wild to people used to Nash push/fold charts.
Step 3: The half you inherit
Winning the pot also puts half of villain's bounty on your head. That inherited half has EV too — it'll be paid to whoever knocks you out. In the early stages of a tournament the inherited half is worth roughly 60–75%of its face value depending on your stack. Add it back:
For a 31.25bb bounty (that's already the cash half): the inherited half is another 31.25bb face, worth ~20bb at the 65% multiplier. Total bounty reward ≈ 51bb — and your required equity drops another few points.
At the table you don't need to nail the multiplier. The point is that ignoring the inherited half systematically under-values the call, and covering big-bounty villains is worth more than most players intuit.
Cover vs covered vs equal
The formulas above assume you cover the shover. That's the biggest bounty edge — you win the whole bounty when you knock them out. Two other cases:
- You're covered. You can't win the bounty by calling — but you can lose your own if villain covers you. Bounty EV in the call is roughly zero for you, but the person shoving into you gets it. So covered short stacks should shove tighter than pure Nash suggests, because covering opponents will call very wide.
- Equal stacks. Whoever wins the all-in busts the other. Bounty EV is symmetric — each of you is playing for the other's bounty. Widen calls by ~half the "cover" adjustment.
Why solvers matter
The math above is the intuition. Real solver output layers in ICM ladder pressure (see the ICM primer), squeeze-range adjustments for extra callers, and per-hand equity vs villain's actual jamming range. Doing that by hand is impossible; doing it by memorised chart works well enough to book big winrates in the Speed Racer and hyper-turbo PKO fields where 90% of EV lives ≤25bb.
Applying this at the table
You will not do the divisions in-hand. What you can do:
- Eyeball the villain's bounty as a multiple of the starting bounty (1×, 2×, 3×+).
- Know the "cover a 2× bounty at 15bb effective" call-off range cold — that's the spot that recurs most.
- When the multiple is 3×+, err aggressively wider. Nash charts under-call by 8–15% equity in these spots.
The PKO preflop ranges reference and the push/fold chart pack are structured exactly around this: bounty ratio × effective stack × cover status.
Related
- What is PKO poker? — format primer.
- PKO strategy fundamentals — leaks and pattern-recognition.
- ICM poker explained — the ladder-pressure companion to bounty EV.
- PKO / ICM calculator — plug in the spot.
Get your beta invite
We onboard testers in weekly batches while we tune the engine. Join the list and we'll email your invite — plus the free PKO Push/Fold Pack (solver-built shove charts, 5–15bb, bounty-adjusted) the moment you sign up.