Quote:
Originally Posted by watergun7
Nope you don't have to care about that stuff... But always have a plan with your hand.
If you cb mid pair you should never "not know" what to do immediately if you get check raised.
But the plan of our hand depends upon the range we assign to our opponent; we either assign the more extreme looser strat, we either assign the more extreme tighter strat, we either assign a weighted range.
If we assigned looser strat; we risk of loosing EV in the case our opponent is drooling around and is actually not using gameflow but some dice to randomnise how he splits TP+ over xc and xR in which case the weighted range works better. It is always possible he keeps flatlining in his head and keeps switching his game upside down just because he starts to loose chips and cannot handle it.
Also, if our opponent is somehow capable to analyze frequencies and showdown hands and ingame EV estimations way better then us; it is extremely likely that he will be residing less lenghtened into a situation where he is actually trying to max exploit our incorrect assigned range (meaning loosing EV) compared to we trying to max exploit our incorrect assigned opponent range (meaning loosing EV) and such assignment of weigthed range works better.
In this paragraph we essentially always update our opponent ranges after each played hand and go for max EV against that. After we are convinced the potential mistakes are reality, we go for max EV against weighted range.
If we assigned tighter strat; we risk of loosing EV in the case our opponent is drooling around and is actually not using gameflow but some dice to randomnize how he splits TP+ over xc and xR in which case the weighted range works better. It is always possible he keeps flatlining in his head and keeps switching his game upside down just because he starts to loose chips and cannot handle it.
Also, if our opponent is somehow capable to analyze frequencies and showdown hands and ingame EV estimations way better then us; it is extremely likely that he will be residing less lenghtened into a situation where he is actually trying to max exploit our incorrect assigned range (meaning loosing EV) compared to we trying to max exploit our incorrect assigned opponent range (meaning loosing EV) and such assignment of weigthed range works better.
In this paragraph we essentially always update our opponent ranges after each played hand and go for max EV against that. After we are convinced the potential mistakes are reality, we go for max EV against weighted range.
If we assigned weighted range; halve of the time we loose vs tighter strat and halve of the time we gain vs looser strat. If our simulation programs works correctly they will include correctly inequallity of EV symmetry and will advice us correctly whether or not ie MP has to be included in our betting range.
However in this case we are due to make a mistake if our opponent keeps residing in one extreme strategy while we keep using the weighted strategy while our opponent only switches again when he sees certain lines/showdown too frequent in which case going after our opponent by ingame max EV estimation of the more extreme strategy is correct.
In this paragraph we essentially always go for max EV against weighted range. After we are convinced the potential mistakes are reality, we go for max EV against the more extreme range.
Is our EV of the max EV strategy versus the weighted range indeed equal to the EV we get by averaging the EV of the max EV strategies vs the tighter strategy and of the max EV strategy vs the looser strategy?
Essentially, does it matter that in the first case we first average the range and in the latter case we average the EV but the frequency of occurance of the latter are the same as the frequencies used in the weithed range?
I always start to get the idea the asymmetry of EV ensures that these both methods result not in the same end result.
I am actually getting more confused now.