Nash Holdem

Developed by professional poker player Max Silver, SnapShove combines unexploitable nash equilibrium ranges with an instant, easy to use and flexible interface allowing you to get the perfect play for any shove, call or reshove situation.

SnapShove’s exclusive training mode quickly puts your short stack skills to the test with the added pressure of time. These quick reflex shove, fold and call decisions are one of the best ways to massively improve your skills rapidly over time.

Nash HoldemHoldem
  1. Simple GTO Trainer. Simple Preflop Holdem. Poker solver for the analysis of the game on the preflop in Holdem. SPH calculates optimal strategies for a given tree of bets and input ranges for the specified number of players (from 2 to 10) in different preflop situations.
  2. Texas No Limit Hold'em (NLHE) is played live in casinos or via gaming platforms on the net on two to ten handed tables. Using a traditional 52 cards deck, each player is dealt two closed cards only known by him. Once the opening bets are made, five face-up cards are gradually revealed.

Pokerstars Tempest Holdem is probably the worst poker form that has been ever created. It's a push or fold game with so much rake, even Daniel Negreanu would.

SnapShove is used by over 54,000 poker players worldwide including many of the worlds best. Our frequent users include WSOP Bracelet winners, Super High Roller champions and many of the world’s top 300 GPI Players.

SnapShove is available FREE with a limited number of searches per day. SnapShove pro adds unlimited searches and expert features. These include instant search and the unique “SnapShove/SnapFold” buttons letting find the perfect ranges for the next hand with a single click.

Pusher
AKQJT98765432
A20+20+20+20+20+20+20+20+20+20+20+20+20+
K20+20+20+20+20+20+20+20+20+20+20+19.919.3
Q20+20+20+20+20+20+20+20+20+20+16.313.512.7
J20+20+20+20+20+20+20+20+18.614.713.510.68.5
T20+20+20+20+20+20+20+20+20+11.910.57.76.5
920+20+20+20+20+20+20+20+20+14.46.94.93.7
820+18.013.013.317.520+20+20+20+18.810.12.72.5
720+16.110.38.59.010.814.720+20+20+13.92.52.1
620+15.19.66.55.75.27.010.720+20+16.3*2.0
520+14.28.96.04.13.53.02.62.420+20+**2.0
420+13.17.95.43.82.72.32.12.02.120+***1.8
320+12.27.55.03.42.51.91.81.71.81.620+1.7
220+11.67.04.62.92.21.81.61.51.51.41.420+
Caller
AKQJT98765432
A20+20+20+20+20+20+20+20+20+20+20+20+20+
K20+20+20+20+20+20+17.615.214.313.212.111.410.7
Q20+20+20+20+20+16.113.010.59.98.98.47.87.2
J20+20+19.520+18.013.410.68.87.06.96.15.85.6
T20+20+15.312.720+11.59.37.46.35.25.24.84.5
920+17.111.79.58.420+8.27.05.85.04.34.13.9
820+13.89.77.66.66.020+6.55.64.84.13.63.5
720+12.48.06.45.55.04.720+5.44.84.13.63.3
620+11.07.35.44.64.24.14.020+4.94.33.83.3
520+10.26.85.14.03.73.63.63.720+4.64.03.6
418.39.16.24.73.83.33.23.23.33.520+3.83.4
316.68.75.94.53.63.12.92.92.93.13.020+3.3
215.88.15.64.23.53.02.82.62.72.82.72.615.0
*63s:7.1 - 5.1, 2.3
**53s: 12.9 - 3.8, 2.4
***43s: 10.0 - 4.9, 2.2
Pusher
AKQJT98765432
A20+20+20+20+20+20+20+20+20+20+20+20+20+
K20+20+20+20+20+20+20+20+20+20+20+20+20+
Q20+20+20+20+20+20+20+20+20+20+18.615.514.5
J20+20+20+20+20+20+20+20+20+18.515.412.410.3
T20+20+20+20+20+20+20+20+20+13.612.48.97.4
920+20+20+20+20+20+20+20+20+16.58.06.04.7
820+20+14.915.420+20+20+20+20+20+11.83.33.0
720+18.311.89.710.412.416.820+20+20+15.93.02.5
620+17.411.37.56.76.58.513.520+20+18.8*2.4
520+16.410.37.14.94.23.83.33.020+20+**2.4
420+15.09.56.44.63.22.82.62.52.520+***2.2
320+14.38.65.84.23.02.32.22.12.12.020+2.1
220+13.38.15.53.72.72.21.91.81.91.71.620+
Caller
AKQJT98765432
A20+20+20+20+20+20+20+20+20+20+20+20+20+
K20+20+20+20+20+20+20+17.416.415.113.912.912.3
Q20+20+20+20+20+18.514.912.011.410.29.78.88.2
J20+20+20+20+20+15.412.210.08.17.97.06.66.4
T20+20+17.815.120+13.010.68.57.26.05.95.55.1
920+19.813.510.99.720+9.58.06.75.64.84.64.3
820+16.111.38.87.76.920+7.46.45.54.74.03.9
720+14.39.27.46.55.75.420+6.05.54.74.03.6
620+12.88.46.25.24.94.64.520+5.54.74.23.7
520+11.87.85.94.54.14.04.04.120+5.14.53.9
420+10.57.15.44.33.73.53.63.73.820+4.23.8
319.19.96.75.04.23.63.23.23.33.53.320+3.6
218.19.46.44.83.93.43.12.93.03.13.02.916.9
*63s:8.9 - 4.7, 2.8
**53s: 15.2 - 3.8, 2.9
***43s: 11.5 - 4.7, 2.6

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

Nash

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.

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.

Nash Holdem Game

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.

Nash Holdings Owner

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.

Nash Holdings Llc

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.

Nash Holdings

The data linked here was re-calculated with a later version than the original chart data, so there may be some very slight differences.