Definitions for "Running Game"
When there is no further contact to be made in the game because the players' checkers have passed each other and it has become a dash to see who will get them home and bear them off first.
the final stage of a backgammon game when the opponents' checkers have passed each other and have no further contact
(American football) a play in which a player runs with the ball; "the defensive line braced to stop the run"; "the coach put great emphasis on running"