Definition of game:
a pursuit or activity with rules performed either alone or with others, for the purpose of entertainment; (in plural games) Sport played in a lesson at school
"shall we play a game?"
willing to participate. (No or .); having the slightly unpleasant taste of game (hunted wildlife.)
"I'm game, would you like to tell me how [to do that]? - From the computer game Adventure
"we'll bury them in paperwork, and game the system."