Getting permission from the game owner would be a sensible approach. If you get it, great. Then you could do it with the owner's blessing.
It's possible to do your write up without the owner's permission, but then you have to be much more careful. For instance, the names of games cannot be copyrighted. No one can prevent you from writing "A Guide to Bridge," or "A Guide to Chess," etc. On the other hand, some games are trademarked, in which case you will need to attach a TM (trademark) symbol when referring to them. In this case, see a lawyer.
You are also allowed to discuss the game itself "in your own words," but you must be careful not to "plagiarize" anything from the rules, or the official game description. That is, while you can refer to specific aspects of a game, such as building houses and hotels, the leash on copying is fairly short, as little as five words. This does not refer to five words in a common sequence referring to a single thought like "The United States of America," but it could refer to five words in an original or unusual sequence such as "I think therefore I am," by Rene Descartes, or "X houses and Y hotels," where the numbers X and Y define the number of houses and hotels in a certain board game trademarked (I believe) by Parker Brothers.
