It appears to me that somehomelessguy answered your question when saying
somehomelessguy wrote:
no, you won't get good results in time. maybe with heavy postflop abstraction.
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let's do some rough estimates:
140 preflop hands.
200 river sequences.
140*47*46*200 = 60536000 information sets
and so we need about 600 million iterations. we won't get that in a few seconds.
obviously it's not as many when removing isomorphs, but still not doable without buckets.
Concerning imperfect recall I agree with p2bb when he says
proud2bBot wrote:
But then you calculate only a subgame with strong restrictions (the given ranges for your and your opponents). Within the sub-game, you'll get an optimal solution, but it might be quite a bit off from the unrestricted nash solution. [...]
but in case your assumptions on the preflop ranges based on expert knowledge are valid I don't see why this approach should not perform well. On the other hand I don't see why you would want to take the risk of being exploited because of maybe poorly chosen preflop ranges and then not take advantage of its potential by playing a defensive strategy from that point on ... just my two cents.
Also I read the part about imperfect recall again and still cannot see how this contradicts with "our" understanding.
http://poker.cs.ualberta.ca/publications/schnizlein.msc.pdf wrote:
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While imperfect recall allows us more flexibility in abstraction creation, using it means that we are no longer guaranteed to converge to an equilibrium. In practice, this has not been an issue.
Imperfect recall allows us to increase the number of buckets on earlier rounds without increasing the number of buckets in later rounds. For instance, in the preflop there are only 169 possible 2-card combinations one could have, taking into account suit isomorphisms. Using imperfect recall, we could create a player that has 169 buckets on the preflop that are forgotten once the flop is dealt. This could increase the number of flop buckets to 64, since the 8 buckets originally used to remember the preflop may now be used for the flop. Keeping 8 buckets on the turn and river would mean that the river still only has 4096 bucket sequences.
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But yes, I also would appreciate a few comments from the more experienced board members.