TWC Ext 2.

Terms

*alley -- MOP referred to this as a half-street. Since there can be as many as five every street, it is more appropriate to call this an alley. An alley would consists of one player's action and opponent's response. If opp's response requires opp one to further respond, that would be another alley.
*within a street -- this is several alley strategies within a street.
*between streets -- the interaction of strategies from one street to the next street.

TWC Ext 2.

Ext 2 will focus on the area where Abe has bet in TWC. Dan is now given the option to raise.



On the first pass Abe called raises whenever his bet was for value. Folding only when the bet was a bluff. This method did not yield a good EV return for Abe. It was better to fold some of Abe's value bets.

Second pass. Find the best call point. Tough to resolve this. Dan should call S/(S+b) in TWC. That would be 2/3 of the time. The known solution for calling is 0.6. S/(S+b) is 4/5 for the raised pot. That would suggests .24 for calling. Will try that number first.
Ran TWC with pot at 40 and bet at 10. That would be similar to raising the pot. Attacker should bet 37.5% of the space and bluff 20% of the bet space. 3/8 of .30 is .90/8 or 0.1125. Bluff area is 0.0225. Ran four test runs for Dan bluffing. Dan did best bluffing with run 2. It was the high end of the call space from alley 1. Dan's call space was tested from 0.0-0.3 to 0.0-0.9. Abe's EV remained constant throughout the entire range. As long as the high end of Dan's call space is within Abe's check space Dan's EV remained max. On alley 2 Dan is allowed to raise. When Dan bluffed, his EV was max whenever his bluff space laid within the intersection of Abe's check space and his call space from alley 1. Following test run 2 place this bluff space into the high end(weakest hands) of the call space. This assures maximization in case Abe uses an inferior strategy. Dan's EV improved by +5.2%. Add this to ext 1. Dan's EV is +8% when both extensions are included.

Conclusions. Bluff the bottom of the space. In extension 1 this was the bottom of the entire space. In extension 2 just give up with hands not worth calling. It's not worth two bets to bluff. Bluff with the bottom of the call space. This makes it a one bet bluff. This may give insight to playing between streets. Only make semi-bluff raises with hands worth calling.