Quote:
Originally Posted by Lapidator
I see.
What if he had bet $150 OTT?
150/(120+300) = 35.7%.
(.357 - .2826) * (420) = $31.25.
Where (how) do you personally draw the line?
to clarify what i said earlier, if you were only trying to collect this money by valuebetting when your hand improved, you would need to win 9.568/.2826=33.857 on average. the reason for this is because 9.568 is averaged over all river possibilities; if we only stand to make money when our hand improves (28.26% of the time), then we need to make up for all the scenarios when it does not. however, like i said earlier, i expect for some marginal profit to come from a c/f strat on the river when we miss and he checks back and we win, and it is possible that some rivers would offer profitable bluffing opportunities (6o possibly).
where/how to draw the line is a really hard question (esp in game), and im not sure i can give a very good/satisfactory answer. essentially you are trying to approximate his strategy on every river and figure out what you can expect to earn vs those strats on each river. since there are 46 possible rivers, this is a daunting task even without considering the fact that approximating someones strategy correctly on even one river can be difficult (this also implies that you have a good idea of their range). wrt to the strategy portion, you will mainly be relying on reads to determine how he will play his range, or assigning a default strategy you believe is reasonable/correct. wrt to the river scenarios, its probably easiest to separate river types into buckets based on how the change range strength/hand strength. in this case, we might want to think of {aces}{spades}{nines}{offsuit sixes}{bricks}, because we may think that these groups are distinctly different in some meaningful way. of course, you could also break {spades} down into {spades>T}{spades<T} if you think that when V no longer likely holds top pair that our valuebets will earn less, making these groups different. then all that is left is to estimate the value of each bucket of outcomes and aggregate them.