The term "name-game" refers to a playful or competitive activity that involves identifying or remembering individuals' names, often in creative ways. Some alternative phrases that could be used to describe the name-game include "memory challenge," "identity quiz," "name association," or "wordplay with names." Another term that has gained popularity in recent years is "icebreaker," which refers to activities designed to help individuals get to know one another and break down social barriers. Ultimately, the name-game is a fun and lighthearted way to encourage conversation and build relationships, no matter what it may be called.