I see it as an reference to Wittgenstein's analogy of language games. [1] That was a concept designed to show that words do not intrinsically have meaning or refer to the world, as many philosophers claimed. Rather, language gets meaning in the context of the actions of its usage with others, much like the rules and actions in a game. The interpretation for a meaning game would be that life does not have intrinsic meaning, but we create or find constructs between ourselves and other people from which we can derive a contextual meaning. These meaning games then give us a purpose we can involve ourselves in. By constructing these games for others, say a parent creating a game of success in schooling for their child, we can give them contextual meaning and purpose.
[1] https://en.wikipedia.org/wiki/Language-game_(philosophy)