Geometric Bet Sizing

Betting the same fraction of the pot on each street to get stacks in by the river.

streets → bet pot each street

The formula

Assume you bet a fraction f of the pot on each street, and every bet is called with no raises. Each street the pot grows by a factor of 1 + 2f. Over n streets the pot grows by (1 + 2f)^n. The stacks are all in when the pot has grown by 1 + 2 × SPR, where SPR is the effective stack divided by the pot. Solving for f:

f = ((1 + 2 × SPR)^(1/n) − 1) / 2

Bet size by SPR

Percent of the pot to bet on every street, from the formula above.

SPR2 streets (turn, river)3 streets (flop, turn, river)
137%22%
1.550%29%
262%35%
382%46%
3.591%50%
4100%54%
6130%68%
7.5150%76%
8156%79%
10179%88%
12200%96%
13210%100%
17.5250%115%
20270%122%
21278%125%
24300%133%
30341%147%
31.5350%150%

Example

With a pot of 10 and an effective stack of 130, SPR is 13. Over 3 streets the bet is 100% of the pot each street: the pot goes 10, 30, 90, 270, and each player puts in 130.