I have a post about ancient Go history before it is called 圍棊
yi 弈 is most likely the name of the ancient precursor of Go in the 1st millennium BC, and it later became a verb meaning playing Go or all kinds of board games (like google become googling). And the word ke (客) placed after a word means someone (or a group of people) who is defined by said action, like 遊客 (遊 means to travel, so 遊客 means tourist, people who travel). So 弈客 = people who play Go.