np guys
Quote:
Originally Posted by unlimited.
Thanks a lot Will, really helpful comments.
The following point you made is especially interesting:
Quote:
It's not always the case that there's just one borderline hand that's made indifferent in those spots, although that'll usually be the case in Vol 1.
Hopefully I will learn more about it in vol2. In the meantime... Moving on to chapter 5!
Sure, so maybe some big picture, nonrigorous intuition about that -- we've kind of seen that making Villain indifferent is something we tend to want to do at equilibrium since it keeps him from being able to play some hand profitably. If he could find an edge taking just one line w/ a hand, he'd do it, but then we might tend to adjust to make that line not profitable, etc.
In, say, a shove/fold game situation, BB really only has one frequency that he gets to pick -- a calling frequency, and he can pretty much only use it to make one hand indifferent. If he increases his calling frequency away from equilibrium, the hand that was indifferent at equilibrium probably becomes a clear fold, and maybe some stronger hand becomes indifferent or nearly so. In a river polar-vs-bluffcatcher game, polar guy also only has one "knob" to adjust as far as his strategy -- his bluffing freq. This is enough that he can make one (type of) hand indifferent to calling: bluffcatchers.
But consider the real game, or at least a larger model. Suppose we're making a flop c-bet. Not only can Villain adjust calling and raising frequencies, he can also adjust tons of subtle details of his strategy on all later streets. Maybe he can make our draws indifferent by changing how much he pays off on runouts when draws come in, while making our bluffs indiff by folding enough to the cbet, while making strong made hands indiff by playing aggressively enough vs missed cbets, etc.
You can look forward to many highly-mixed early street ranges in vol 2