Imagine I am playing a game with some people. Every players is done with doing his/her actions/turns. So the game is basically over, but as very last step e.g. the game-master has to declare the winner.
Do I say to him "Could you please finish the game?" or "Could you please end the game?"
The main part of the game is over, in which the players can act, but the game as a whole is not over before e.g. the game-master declares the winner.
Note: I am not interested in rephrasing the question, so please focus on which word is the correct one. If you know a better one, that's okay, too!
Edit: I am still interested in further answers! :)