This could be different in cultural context. My interpretation is that the speaker wants to say that being a winner / chosen one among the three of them, is easy for the speaker.

Retta may be right, but more context would help. “For me” could mean that “in the speaker’s opinion” is is easy to decide which of the three of them deserves some reward/victory. But “for me” could mean that the competition is somehow to win the speaker’s attention/time/etc. For example, if the speaker is an ugly man and the other two are handsome men, the speaker could be saying “women compete for the attention of the two other men, but they don’t compete for his attention.”