out|do [autˈdu:] v past tense outdid [-ˈdıd] past participle outdone [-ˈdʌn] third person singular outdoes [-ˈdʌz]
1.) to be better or more successful than someone else at doing something
When it comes to speed of response, a small firm can outdo a big company.
outdo sb in sth
skaters trying to outdo each other in grace and speed
2.) not to be outdone
in order not to let someone else do better or seem better than you
Not to be outdone, other computer manufacturers are also donating machines to schools.

Dictionary of contemporary English. 2013.