If you beat your opponent at a game of strategy because you are more adept and more clever at the game, this is an example of when you outwit your opponent.
transitive verb-·wit′ted, -·wit′ting
- to overcome, or get the better of, by cunning or cleverness
- Archaic to be more intelligent than
transitive verbout·wit·ted, out·wit·ting, out·wits
(third-person singular simple present outwits, present participle outwitting, simple past and past participle outwitted)
From out- +"Ž wit.