Re: Why it is not mandatory to call a raise after completing.
i don't think it is (almost) ever correct to complete in the SB and then fold to a raise. if the BB was known to be capable of raising pf, many times it is correct not to complete in the first place.
on the other hand, more often it is correct to limp, then fold to a 3-bet should it be raised and reraised back to you.
so, i say that the 2 situations are definitely not euquivalent, mathematically or otherwise.
for the math...
in the case where you are completing and then calling a raise, you have "put in" 0.5 SB, and then another 1.0 SB.
in the case where you are limping and then calling a 3-bet, you have put in 1.0 SB, and then another 2.0 sb.
while similar in ratio, in the first case, for any future bets you must make up, you only need to account for half the predicted future pot size. so your implied odds need to be much greater in the second case to make it correct.
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