A tournament is a different kind of problem from a cash game. Players buy in for a fixed amount, receive a stack of tournament chips, and play until one player holds everything. Prizes go to the last few survivors. Three ideas explain most of the arithmetic: how big your stack is relative to the blinds, how the blinds rise, and how the prize money is divided.
Stack size in big blinds
A number of chips means little on its own. What counts is how many big blinds it represents.
Take a stack of 3,000 chips:
- At blinds of 25/50, it is 3,000 ÷ 50 = 60 big blinds.
- At 100/200, it is 3,000 ÷ 200 = 15 big blinds.
- At 300/600, it is 3,000 ÷ 600 = 5 big blinds.
The chips are identical, but the player’s options shrink as the count falls. With 60 big blinds there is room to play after the flop and recover from mistakes. With 5, one or two forced bets leave very little, and the hand choices narrow sharply.
The M-ratio
Another common measure divides the stack by the total cost of one full orbit of forced bets. Where there are no antes, that is the small blind plus the big blind. With blinds of 100/200, one round costs 300, so a 3,000 stack has an M of 3,000 ÷ 300 = 10. It tells you roughly how many rounds you could sit out before the stack is gone.
Antes, where used, add to the round cost and lower M. Suppose each of 9 players posts an ante of 25: the round costs 300 + 225 = 525, and M becomes 3,000 ÷ 525 ≈ 5.7. Thresholds for what counts as “short” vary by player and format, and are rules of thumb rather than laws.
Rising blinds
Blind levels increase on a schedule, so every stack shrinks in big-blind terms even when no one wins or loses a chip. Suppose a player has 5,000 chips and levels go 25/50, 50/100, 75/150, 100/200:
| Blinds | Big blind | Stack in big blinds |
|---|---|---|
| 25/50 | 50 | 100 |
| 50/100 | 100 | 50 |
| 75/150 | 150 | 33.3 |
| 100/200 | 200 | 25 |
This pressure is the reason tournaments end. A player cannot wait indefinitely for ideal cards, because standing still means losing ground. The speed of the schedule matters: slow levels give more play, fast levels reward earlier risks.
Payout structures
Prizes are fixed shares of the total pool. Imagine 20 players each paying 50, so the pool is 1,000. A structure paying 50%, 30% and 20% to the top three would give 500, 300 and 200, which adds to 1,000. (Real events often keep some money for fees, so the pool paid out is smaller than total buy-ins.) Structures differ: some pay only the top few finishers, others pay a larger share of the field with smaller steps.
The shape matters. A top-heavy structure rewards first place far more than second. A flatter one rewards survival. That changes how players weigh risk.
Why chips are not cash
In a cash game, 100 chips are worth 100 units at any time. In a tournament, they are not, and the reason is the payout curve. If prizes were winner-take-all, your chance of winning would roughly follow your share of all chips. With several prizes, an additional chip is worth less than the chip before it.
A simple illustration: two players remain, with prizes of 70 and 30. Suppose one has twice as many chips as the other, and each player’s chance of winning is taken to be proportional to chip share, which is a common simplifying assumption, not a fact about real players. The leader has a 2/3 chance of first place, so the expected prize is 30 + 40 × (2/3) ≈ 56.7. The shorter stack’s expectation is 30 + 40 × (1/3) ≈ 43.3. Together they total exactly 100.
The leader holds 66.7% of the chips but only 56.7% of the prize. This is the heart of the difference between chip value and prize value: concentrated chips matter less than their share suggests. The method that extends this reasoning to several players is often called the Independent Chip Model, which uses the same proportional assumption to turn stacks into prize expectations. It is an estimate; it ignores skill differences, position and future blinds.
How payouts shape decisions
Near a payout threshold, busting just before the money wins nothing, while surviving one more place guarantees a prize. Risking your whole stack then costs more than the same risk early in the event, since the downside is losing a likely prize. Players with big stacks may take more risks against shorter stacks, while short stacks may wait for others to bust. The size of this effect depends on the structure, and it needs a calculation for each situation.
The core point, though, is that the same hand and the same price can be right in a cash game and wrong in a tournament, because the thing being maximized is the expected value of the prize, not the number of chips.
A caution
Tournament fields are large and results vary widely. A strong player can go many events without a significant payout, and a weak one may win by luck. Entry fees go to the organizer, reducing the pool, and money spent on buy-ins can be lost. This article describes concepts, not a way of profiting. If gambling is becoming a problem, a local support service can help.