pobeđivati

1. (intransitive) to win
   Naš tim pobeđuje iz utakmice u utakmicu. — Our team keeps winning, match after match.
   Na kraju uvek pobeđuje pametniji. — In the end the smarter one always wins.
2. (+ acc.) to defeat; to beat
   Brat me uvek pobeđuje u šahu. — My brother always beats me at chess.
3. (of fear, illness) to overcome; to conquer
   Polako pobeđuje strah od letenja. — She is slowly overcoming her fear of flying.

The perfective is pobediti; pobeđivati koga u čemu means to beat someone at something.