nǐ zhuī wǒ gǎn
friendly one-upmanship
to try to emulate
你
nǐ
you (Note: In Taiwan, 妳 is used to address females, but in mainland China, it is not commonly used. Instead, 你 is used to address both males and females.)
追
zhuī
to chase
我
wǒ
I; me; my
赶
gǎn
to overtake; to catch up with