Holdem calculator nash
HoldemResources Calculator is the perfect learning and analysis tool for Hold'em tournament players. Leverage your tournament edge and become a winning player at all tournament stakes! Master your poker strategy based on ICM theory and the ChipEV model with a user-friendly preflop Nash calculator. Real member reviews of HoldemResources, a poker calculator for improving your performance in Texas Holdem tournaments.
HeadsUp Push/Fold Nash Equilibrium
How To Use The Calculator: Use the calculator at your own risk. Minor bugfix for HTML exports. A lot of players go into auto-pilot and start pushing Nash since the blinds are high. Instead, you should either push or fold.
Nash ICM Calculator
If one player deviates from Nash then the other player can do better by re-adjusting their ranges accordingly. This is useful since it allows you to understand what ranges are optimal in different spots and generally what players will be doing if they are adopting this strategy.
It is also able to generate these optimal ranges for each individual player at the table and not just the hero or player in action. To carry out this calculation in the program all you have to do is hit the Calculate Nash Equilibrium button and the Nash ranges for each of the stacks will be assigned.
One of the most common situations in poker where people adopt Nash ranges is HU at high blind levels against a tough opponent. If you revert to this style of play then your opponent will have to do the same to avoid being exploited. So why do it? Adopting the Nash range against an inferior opponent for instance who is letting you limp in a lot, steal the blinds pre-flop often and pick up pots on the cheap side post-flop will be far from optimal.
Before electing to adopt Nash Equilibrium ranges, there are several important assumptions Nash makes that must be understood:. On the reverse, there will be situations where you can profitably push wider than Nash when your opponent is calling tighter so for the most part playing Nash poker will be far from optimal.
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This is a simplified game where the SB is only allowed to go all-in or fold, and the BB can either call or fold when facing a shove. The tables show the highest effective stack size in big blinds where a hand can be pushed or called. Playing push-or-fold is typically only recommended up to around 10bb, depending on the situation.
For example 63s is included in the pushing strategy for stack sizes between 7. The effective stack size is the smaller of the two, before posting any blinds. So the relevant stack size for both players in this hand is 6. To find the strategy for SB's T3s, check the green area suited hands of the "Pusher" chart. The value for T3s is 7. To determine if the BB should call with his Q2o, check the orange area offsuit hands of the "Caller" chart and locate Q2o.
The value there is 5. The effective stacks in the current hand are larger than the value for Q2o, so this hand is a fold in the Nash Equilibrium strategy. The solution available on this site was independently calculated and published in as part of a coding experiment, inspired by the discussion of the topic in Mathematics of Poker. Similar charts have been published by various sources, including SNGPT and Mathematics of Poker, and there are some minor differences between them.
The exact Nash solution is considerably more complex and the chart only shows a simplified version. Most hands are actually played with mixed strategies for at least a few stack sizes, and many hands have multiple smaller gaps in their strategy, similar to the 63s, 53s, 43s hands. These details are omitted in the chart to allow a compact representation of the strategy. The differences in published solutions are most likely due to choices made when simplifying the exact solution into easy-to-use charts.
Due to the considerable number of rather arbitrary choices when simplifying into chart form, it is actually quite unlikely that two independently created charts would perfectly match. This data can be used to derive the charts. For practical purposes the chart form should be completely sufficient though. The data linked here was re-calculated with a later version than the original chart data, so there may be some very slight differences.
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