Teachme2play: I guess I don't understand the rules (or strategy) of the example game. Why wouldn't A say "5 fives" as his first bid? Given the mismatch between what's "on the table" and his own dice, it's unlikely he has the best hand. He might as well call a high bid, letting B make the decision to call him out a liar, or put in a high bid himself (after which A calls B a liar).

Also, you say B. "2 threes" B avoided 2 ones and 2 twos and probably made a mistake, cause now A thinks B doesn't have 1, or 2 on his dice. Why is that a mistake? If A calls B out a liar, B wins the game, and if this bid causes A to draw a wrong conclusion (I've no idea why A would draw that conclusion though) about Bs hand, I'd say it's an excellent bid by B.

B: "LIAR!" B knows A hasn't played fives before, so he doesn't have any. That's another reasoning I don't get. Given that the bids don't have to be real, A could in theory have anything. In fact, if I was A, and I know B would reason this way, then given a hand of "2, 2, 5, 5, 6" I might have bid the way A did, tricking B to call me a liar. Then again, I wouldn't assume B to reason this way, and I'd never play the low bids in such a way as to reveal my hand.