adverb
not to be outdone; refusing to lose; determinedly
Expresses a competitive or stubborn spirit: doing something with the determination not to be beaten by someone else's action or effort. Often used when someone responds in kind after seeing another person do something.
See also: じ
彼が走り出したので、私も負けじと走った。
He started running, so I ran too, not to be outdone.
友達が新しいスマホを買ったので、負けじと私も買い換えた。
My friend bought a new smartphone, so I got one too, determined not to be outdone.