Executioner's game (7)
I believe the answer is:
hangman
I believe this is a double definition.
'executioner's' is the first definition.
(hangman is a kind of executioner)
'game' is the second definition.
(game played on paper)
(Other definitions for hangman that I've seen before include "Word game - executioner" , "Official executioner" , "Public executioner like Jack Ketch" , "Word-guessing game - executioner" , "He suspends" .)