For example, in NL500 solution with open size of 2.50, in the branch of BTN Raise to 2.50 – SB 3bet to 12.00 – BB Call, the weight is 0.14%: This was done so that users could verify that such actions have minimal frequency. In the main trees, we only kept 3-bet cold calls against SB by BB, and against free positions by BTN. We conducted test calculations and came to the conclusion that 3-bet cold call are rarely played, so we removed most of them. Why 3-bet cold calls included in some places, but not in others? In the scenario of SB call the strategy would be flawed, as after his call, BB would have an great probability for call, and we cannot overlook flat calls for BB, thus we refrain from providing SB with the option to play this flat, in order to avoid creating such lines. Why is there no branch for MP open, CO call, BTN call, and for SB there is no possibility of call, only playing raise/fold strategy? Meanwhile, the absolute weight of these branches is very minimal, and you will almost never face this situation in real game, hence the maximum N-way exit in new solutions of Cash Library for postflop is 4-way. We have conducted experiments solving 5-way and 6-way exits on the postflop, the complexity of the game trees is significantly increased and their calculation becomes much longer to achieve equilibrium in thouse branches. MP opens, CO calls, BTN calls, SB calls, BB calls? Why some lines on the preflop are missed, e.g. We decided to add it for these stacks in order for users to see the defense strategy. Players tend to consider 40bb and 50bb as short stacks and play 2.5bb size more often in SB-BB situations. Why are SB-BB strategies for 40bb, 50bb different from other stack depths? FP open: 2.00bb – SB open: 3.50bb, limp.FP open: 2.50bb – SB open: 3.00bb, limp.FP open: 2.25bb – SB open: 3.00bb, no limp.FP open: 2.00bb – SB open: 2.50bb, no limp.Solved depths: 40bb, 50bb, 70bb, 100bb, 150bb, 200bb.įree positions open raises: 2.00bb, 2.25bb, 2.50bb, 3.00bbĭifferent opening sizings from free positions correspond to different sizes of the SBvsBB play. Main trees have been solved for the following limits/rake structure: The most playable sizings from tune trees were used for main trees. Tune trees were made for NL100 and NL500 limits and they were solved to show which sizes solver prefers to play more.

New preflop solutions in the 6-max Cash Library are represented by main trees and tune trees.

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