Similarly, a much tighter range will be recommended for shoving as the clear mid stack into the clear big stack on the bubble and so will help starting players learn some crucial ICM dynamics.
PS : concernant les google lotterie fake 43s,53s et 63s c'est simplement lié au fait qu'on aura plus assez de FE en dessous de certains stacks size pour pouvoir les push profitablement parce que notre adversaires aura de trop bonnes pizza jackpot nevada odds pour call et rajoutera beaucoup de mains.
That move is very unprofitable for him, but it's also very unprofitable for us - to the point where our push becomes very, very negative.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.If you are totally new to ICM you can just start using Nash equilibrium ranges for open pushing and overcalling, and your end game will improve immediately.Assumes opponents shove top hands in their range excessively when they are much likelier to open raise.Of course, lying would be better for the group but poker is not exactly a group activity and that's outside of the scope of this article.Basic understanding of the Nash equilibrium can be invaluable in any non-cooperative game involving two or more players and poker certainly falls under that definition.That's why we still haven't figured out the game theory optimal strategy even for less complicated formats like HU Limit Hold'em (though we're somewhat close in this particular case) and judging from how fast processing power of computers increase from year to year, this won't.Now that we know what game theory is let's take a step back and figure out what constitutes a "game".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.In the hypothetical situation, two people are questioned separately about a crime they both committed.Let's look at a small example.Pour une range de push, on privilégie les mains qui se comportent bien contre des ranges fortes (c'est à dire les mains qui font des flush et des straight) alors que pour les ranges de call, on privilégie les mains qui dominent les ranges adverses.If they both confess to committing the crime they will spend 8 years in prison.So that the times you folded, the SB would automatically shove very wide and the BB with no regard of ICM/not wishing to be outplayed called very wide then the suggested range for you to push will be super tight way tighter than Nash, even.Game Theory, which employs Nash equilibrium, is a set of methods to model situations where players are in conflict.
Players can, limp and use different raise sizes, they will also rarely if ever use the Nash equilibrium as their push or fold strategy and even if they do so, they will most likely start doing that closer to 8-10bb than 20bb stack size.
First of all, there is a huge difference between knowing there is a Nash equilibrium and finding one.
Limitations of Nashs assumptions.
However, if we greatly simplified the game and assumed that players in a HU game can only go all-in or fold in the SB position and call or fold in the BB position we can determine the nash equilibrium for that situation: Here's how.
Consider this example: youre on the BTN in a 6max bubble 100/200 blinds with a 1k stack and both your opponents have 4k each.
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.Flexibility of calculations the Nash calculator can be used for the majority regole poker of the most common tournament/SNG situations that arise including open pushes, calling single pushes and calling multiple opponent pushes.This limits any edge your opponent has over you and any shove you make is unexploitable so cant be wrong.These details are omitted in the chart to allow a compact representation of the strategy.Assumes opponents not only have knowledge of Nash but are following a set of rules very rarely is this the case.The exact Nash solution is considerably more complex and the chart only shows a simplified version.Elaborating on the first assumption, consider this example on the bubble of a 6max SNG: Example 1, blinds: 75/150, bTN: 500 folds, sB: 6000 shoves.Faut pas oublier que la définition de l'équilibre de nash, c'est qu'aucun des des joueurs n'a intérêt à changer sa stratégie.Nash assumes the SB will push any two and the BB will call very tight.Nash proved that if we allow mixed strategies, then every game with a finite number of players in which each player can choose from finitely many pure strategies has at least one Nash equilibrium.If you revert to this style of play then your opponent will have to do the same to avoid being exploited.The blinds are 120/240.Since Nash takes into account stack sizes relative to pay-out structure (essentially ICM) it offers a good baseline for new or inexperienced players who struggle to put opponents on ranges or dont have a grasp for what an average range is in a spot.
Real Life Example, to further simplify the idea of Nash equilibrium, let's look at a classic example of prisoner's dilemma.
Une main comme T2s qui a déjà une ev très mauvaise contre une range forte ne va pas gagner beaucoup d'EV si notre adversaire élargit son range parce qu'il va rajouter énormément de Tx qui vont dominer notre T2, et a partir du moment.
This leads to an eventual stalemate (long term break-even proposition) and it makes no sense for either opponent to deviate from Nash if the other player is strictly following Nash this means they will be deviating from optimal strategy and the other player may benefit.