"In no-limit and pot limit, an all-in wager of less than a full raise does not reopen the betting to a player who has already acted"
??
Player A has already acted in the betting round (1st raise to 10 from UTG)
It is hard to find the right wording so that there is no confusion. Of course any player who has been fully raised has an option of raising again when the action comes back to them (Player A in your situation). The real question that is answered by this line is if Player B is allowed to raise. The sentence is in this rule to help TDs/players/dealers differentiate between limit and no-limit.
UTG raises 10€, guy on UTG+2 reraises to 20€, (Alright, right now we know that UTG will have the option to raise when the action comes back to them because they were raised...fully.)
Third guy goes all-in for 37€, can the original raiser (UTG) reraise or not? (This part does not even apply to your question.)
Because we already know UTG is able to raise, the next question is if UTG+2 is able to raise.
Let's look at the scenario.
A bet 10
B bet 20 (raised 10)
C bet 37 (raised 17)
According to TDA,
In no-limit and pot limit, an all-in wager of less than a full raise does not reopen the betting to a player who has already actedOk, so we now just need to determine what a full raise is and if each player made one.
A raise must be at least the size of the largest (bet or) raise of the current betting round.A bet 10
B raised 10 (At least the size of A's bet)
C raised 17 (At least the size of B's raise)
According to TDA, every player made a full raise. So "In no-limit and pot limit, an all-in wager of less than a full raise does not reopen the betting to a player who has already acted" does not apply in this situation because they were all full raises.
If your house rules are different, it makes it more difficult. Your establishment has to figure out how they mesh with TDA's set of rules.
Hope that helps!
