The phrase "games problems" refers to any issues or difficulties related to playing games. It could include things like challenges in a game, bugs or glitches, or even addiction to gaming. Full definition
I like to make games, and I like to solve game problems. (rockstarwatch.net)
Arsene Wenger has told the official matchday programme that Arsenal did have «big problems» with illness ahead of the game (injuryleague.com)
The value of the conjecture is that if it is hard to approximate the unique games problem in this way, then many other important «hard» problems of this kind can not be approximated well either. (scientificamerican.com)