Do you find you flounder in the push fold stage?

Do you struggle to work out which hands to call a villains all-in with? We have some of the secrets of poker professionals available to you!


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Select your position at the table, stack size, and you'll instantly get a profitable range for pushing, calculated on the Nash equilibrium.
Long pressing to select position player who goes all-in before you, and you instantly get the profitable range of call.



Since it is impossible to remember ranges for shoving and calling in all situations, our Poker Chart can be used by players of all levels: from beginners to poker pros. Use our app while you are playing online, or even at the casino!



The program was designed by professional poker players who have won more than a million dollars in prizes.



Try Poker Chart in action right now, for free!

Calculate shoving ranges for 9-max table absolutely free and you will ensure the profitability of the strategy pushes according to the Nash equilibrium.




After getting acquainted with the program, purchase the full version which will allow you to:


What is the 'Nash Equilibrium'?

Photo of John Forbes Nash Jr.John Forbes Nash, Jr. (June 13, 1928 – May 23, 2015) was an American mathematician who made fundamental contributions to game theory, differential geometry, and the study of partial differential equations. Nash's work has provided insight into the factors that govern chance and decision making inside complex systems found in daily life.

His theories are used in economics, computing, evolutionary biology, artificial intelligence, accounting, computer science, games of skill, politics and military theory. Serving as a Senior Research Mathematician at Princeton University during the latter part of his life, he shared the 1994 Nobel Memorial Prize in Economic Sciences with game theorists Reinhard Selten and John Harsanyi. In 2015, he was awarded the Abel Prize for his work on nonlinear partial differential equations.

The Nash equilibrium is a concept of game theory where the optimal outcome of a game is one where no player has an incentive to deviate from his or her chosen strategy after considering an opponent's choice. Overall, an individual can receive no incremental benefit from changing actions, assuming other players remain constant in their strategies.

Nash Equilibrium definition for preflop push-fold strategy means perfect push and perfect call.

Why pushing by Nash Equilibrium is profitable?

Consider the example of a real game..

SB push chart According to the Nash equilibrium in heads up with ante player on a small blind with 15 big blinds stack should push 48.4% of hands




BB call chart and player on a big blind calls with 30.6% of hands




BB call chart in the real game However, in real game, the big blind will not call with this range. Often it will be more narrow range of hands. In the real modern poker player on the big blind in this situation does call about 24.3% of hands




New SB push chart In such a big blind shove profitable is much broader than the original 48.4%. Profitable shove is 83.7% of hands




The conclusion suggests itself: to push under the Nash equilibrium is advantageous because the players do not know the range to call and in practice will call tighter than they should.

However, you must understand that if push this hand profitably - does not mean that this is the best action in a given situation. Sometimes play optimally raise. Also, you should adjust your range playing bubble stage in the tournament.



When the call is advantageous according to the 'Nash equilibrium'?

Call according to Nash equilibrium favorably against those players who push according to the Nash equilibrium, or even broader range. For example, for 9 max table with ante player from the small blind with a stack of 10 big blinds, according to Nash equilibrium, must push in the big blind 68.9% of hands. But in the real present poker aggressive regulars push any two cards in this situation - 100% of his range. Obviously, you can profitable call these players according to Nash equilibrium.