Nash Holdem

• Holdemresources Nash Calculator
• Nash Holdings Stock

Performing of local preflop calculations for different poker disciplines

Calculation could be done for ChipEV or ICM models, also taking in a count rake.

Strategy, EV and equity is displayed
for every hand per any action
on the preflop

The program includes a set of different representations of solutions, which allows for a comprehensive and qualitative analysis of the solutions obtained. Sets of metrics in the reports characterize the parameters of decisions, and also serve as valuable sources of information for analyzing the solution.

SLOWPLAY Nash Texas Hold'em Poker Mat Portable Poker Table Top with Art Deco Layout Print,70 x 35 Inch, Smooth Premium Surface, Noise Reduction, and Carrying Tube for. HeadsUp Push/Fold Nash Equilibrium - HoldemResources.net HeadsUp Push/Fold Nash Equilibrium The charts below show the Nash Equilibrium strategies for two player push-or-fold NLHE. This is a simplified game where the SB is only allowed to go all-in or fold,.

No limit on the computing power usage

The program can use all processor threads available from the OS for maximum parallelization of computations and faster calculation.

The use of abstractions in calculations

To calculate preflop strategies, postflop abstractions are used, so the calculation is simplified and the required amount of RAM is reduced. The level of abstraction can be selected.

MacOS case

The user should note that the program is not supported by the operating system MacOS. The solution in this case can be the use of virtualization programs - Parallels or Bootcamp. If you use Bootcamp, Windows will be started on the machine as the main system, and the user will not be able to use MacOS and Windows at the same time. Parallels allows you to use both systems simultaneously. in this case, a virtual machine is created, where Windows is already installed.

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Holdemresources Nash Calculator

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System requirements

• Intel Core i5
• 16 GB
• More than 900 pixels in height
• Windows 64bit XP or newer
• Internet access for license activation

Possible payment methods

The tables show the highest effective stack size in big blinds where a hand can be pushed or called. Values bigger than 20 are only displayed as 20+, which means the hand can be played for any stack size of 20bb or less. (Playing push-or-fold is typically only recommended up to around 10bb, depending on the situation. Using push-or-fold for >20bb is almost certainly a bad idea.)

Some hands have gaps in their pushing strategies, they are marked with * and the details are displayed below the charts. For example 63s is included in the pushing strategy for stack sizes between 7.1 and 5.1bb, and stacks below 2.3bb.

SB (9.0bb): T3s
BB (6.0bb): Q2o

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 6.0 big blinds.

Nash Holdings Stock

To find the strategy for SB's T3s, check the green area (suited hands) of the 'Pusher' chart. The value for T3s is 7.7bb, and since that is larger than the current effective stacks the hand is a push in the Nash Equilibrium strategy.

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 5.6bb. 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.

This example refers to the no ante solution. If the table values don't match the example then make sure the 'No Ante' tab is selected above.

The solution available on this site was independently calculated and published in 2007 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.

The file linked below contains the unsimplified push-or-fold equilibrium strategies for all stacks of 1bb ≤ stacks ≤ 200bb in steps of 0.05bb. 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.