It doesn’t have quite the same ring to it somehow, “Sir, do you play croquet sir?” as “Sir, do you play chess sir?” and if things had been different they might well have been playing crocquet on the lawn if someone hadn’t come up with the idea of a human chess match. However that is most unlikely seeing as the two men, according to the original script for ‘Arrival,’ were playing crocquet on the lawn near Gate House. And the two men in fact being guardians, Post 14 in fact, who are instructed by the Supervisor to pursue No.6, and it’s they who we see in the episode pursuing the Prisoner on the beach in the Mini-Moke. So it seems the two guardians were playing Croquet simply to pass the time.
Be seeing you