ps2 Variation...

Kit missed our very heated discussion on 女's xQ question after hotpot at TigerPalace. After a brief brief to her, I realize that it may be easier to remix the question this way -
Villager(s) with the 'hallmark' will be rewarded (not dead), while they would be punished if mis-claim.

This doesn't change the question in nature. Yet it addresses humanity in leading us to believe that the villagers in question would indeed try their best to figure out whether they are hallmarked and claim their reward the soonest without misclaiming.
One very important assumption - all people in question are intelligent (able) and motivated (willing) to find out the truth, then they would put on not only their own but also others' perspective, so to lead to that result/answer.