ONE-UPMANSHIP
Meaning of ONE-UPMANSHIP in English
one-up ‧ man ‧ ship /wʌnˈʌpmənʃɪp/ BrE AmE noun [uncountable]
attempts to make yourself seem better than other people, no matter what they do
Longman Dictionary of Contemporary English.
Longman - Словарь современного английского языка.
2012