one-upmanship

if something someone does is one-upmanship, they are trying to make other people admire them by doing it in a better or more clever way than someone else There is a great deal of one-upmanship among children anxious to wear the most fashionable clothes.

Common Names:

Name	Pronounced	Usage
Catalina	kah-tah-LEE-nah	Spanish
Kouta	ko:-tah	Japanese
Berislav	-	Croatian, Medieval Slavic
Reimund	-	German
Nicolas	['nikələs]
Sibyl	SIB-əl	English