I don't want to play paradox

When you say you want to play a game, any game, but your friends say no to that game. This is also true when your friends say that they want to play a certain game but you don't want to play that game. Thus, the I don't want to play paradox.

Person 1: Yo, dude wanna play Roblox?
Person 2: Naw bro lets play some Terraria.
Person 1: Dude, I don't want to play Terraria.
Person 2: And I don't want to play Roblox.
Person 1 : Then what else do you want to play?
Person 2: I don't know. And I don't want to play what you suggest.
Thus the I don't want to play paradox

I want to play league

Showing the want/need to kill yourself.

My friend said, "I want to play league".
Sorry for your loss.

I want to play a game.

Used when one wants to initiate in a board game with another. More commonly used with family/friends.

Jigsaw: I WANT TO PLAY A GAME.
Victim: Parcheesi or Scrabble?