You are head of a family in an Italian city-state, a city run by a weak and corrupt court. You need to manipulate, bluff and bribe your way to power. Your object is to destroy the influence of all the other families, forcing them into exile. Only one family will survive...
In Coup, you want to be the last player with influence in the game, with influence being represented by face-down character cards in your playing area.
When you take one of the character actions – whether actively on your turn, or defensively in response to someone else's action – that character's action automatically succeeds unless an opponent challenges you. In this case, if you can't reveal the appropriate character, you lose an influence, turning one of your characters face-up. Face-up characters cannot be used, and if both of your characters are face-up, you're out of the game.
If you do have the character in question, you reveal it, the opponent loses an influence, then you shuffle that character into the deck and draw a new one, perhaps getting the same character again and perhaps not.
The last player to still have influence – that is, a face-down character – wins the game!