Add the bounty to the pot in big blinds, but only when you cover the player who is all-in.
In a progressive knockout tournament the player who busts an opponent collects part of his bounty in cash. That money is a prize you win on top of the pot, so it changes the price of a call. The question stays the same: how often do I have to win to break even?
Without a bounty the equity you need to call is your call divided by the final pot:
equity needed = call / (pot + bet + call)
With a bounty you add the cash you would win, converted to big blinds:
equity needed = call / (pot + bet + call + bounty in BB)
Your risk stays the same. Only the reward grows, so the break-even point drops.
To add a bounty to a pot you need both in the same unit. The simple way is to ask what one big blind is worth in money at this moment. If half the buy-in goes to the prize pool, the starting stack is worth about 50% of the buy-in. Divide that by the number of big blinds a starting stack holds now and you have the value of one big blind. Then divide the bounty by it.
Example: the bounty you would collect is worth 15% of the buy-in and one big blind is worth 2.5% of the buy-in. The bounty is worth 15 / 2.5 = 6.0 BB.
This treats chips as cash at a fixed rate. It is a simplified model: it ignores ICM, the extra bounty that goes onto your own head, and how the blinds will grow. Near the money and at a final table, payouts push the equity you need back up.
The pot is 10 BB, the opponent bets 8 BB all-in and you have to call 8 BB. Your stack is bigger than his. Without the bounty you need 8 / 26 = 30.8%. With the bounty worth 6 BB you need 8 / 32 = 25.0%. The bounty saves you 5.8 percentage points, which is the difference between folding and calling with a lot of hands.
Same pot, same bet, but now the opponent has more chips than you. If you win the hand he still has chips left, so he is not knocked out and you get no bounty. The bounty term is zero and you need 30.8%, exactly as in a regular tournament. The bounty on his head is a reason for him to call wider against you, not the other way round.
Before the flop there are 2.5 BB in the middle (blinds and antes). A short stack moves all-in for 10 BB and you are in the big blind, so you call 9 more. You cover him. His bounty is worth 25% of the buy-in and one big blind is worth 2.5%, so the bounty is 10.0 BB, almost as much as the whole pot. Without it you need 41.9%; with it 28.6%. That is 13.3 points less. When the pot is small and the bounty is big, the bounty is most of what you are playing for.
| Spot | Regular tournament | Bounty counted | PKO | Difference |
|---|---|---|---|---|
| 1. You cover, bounty 6 BB | 30.8% | 6.0 BB | 25.0% | 5.8 pts |
| 2. He covers you | 30.8% | 0 (not covered) | 30.8% | 0.0 pts |
| 3. Small pot, bounty 10 BB | 41.9% | 10.0 BB | 28.6% | 13.3 pts |
You can check each line in the free PKO calculator: enter the pot, the bet, your call, both stacks and the bounty, in money or directly in big blinds.
To see the pot odds part on its own, use the pot odds cheat sheet. To practise all-in decisions at short stacks, try the free trainer, free for now.
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Add the bounty you would collect, converted to big blinds, to the pot. Equity needed = call / (pot + bet + call + bounty). With pot 10 BB, bet 8 BB, call 8 BB and a 6 BB bounty you need 25.0% instead of 30.8%.
No. If his stack is bigger than yours, winning the hand does not knock him out, so you get no bounty and the spot is a regular pot odds decision.
Work out what one big blind is worth in money now (the cash value of the starting stack divided by the big blinds it holds), then divide the bounty by it. A bounty worth 15% of the buy-in with one big blind worth 2.5% is 6.0 BB.
No. It is a simplified model that treats the bounty as cash in big blinds. Near the money or at a final table, ICM raises the equity you need again.
progressGTO guides use our own solution book (v17d, 8-max tournaments with a 12.5% ante from each player, chip EV): an approximation of equilibrium with a modelled postflop, not an exact solution. Numbers are computed from the book and from the exact ICM model.