Game Theory: Unusual Question #3 and #4

[Aisthesis]

I'm a little shaky on method for the bluffing solution, but your equations got me going for a non-bluffing solution anyway. Actually, I think I'll refrain from even going through all the individual cases of fold, call or raise.

I'm pretty sure my equations agree with yours, although I couldn't follow all the way. But the great thing is that they simplify to an EV (with R as the raise threshold and .5 as the obvious call threshold) of 11/8*R - R~2.

Hope I didn't mess up anywhere along the road in adding the decisive scenarios, but in any case the solution from there is simple and does yield the best non-bluffing EV seen yet.

Differentiating over R we get:
11/8 - 2R = 0 (for local maximum)
Hence R = 11/16 as the raise threshold

That should make the EV for B 121/256 or a hair over .47

I think the best non-bluffing solution we had up to now was .46