Modelling the composition association within MongoDB

Is it possible to model a composition in MongoDB? Like when I remove a document out of a certain collection, all documents inside of another collection related to this document shall be deleted as well. In Java, this is easy to code, but I want this automatic remove happen within the database directly.
Example:
There are the collection “games” and the collection “events” for events within games. When a game is deleted, all its related events shall be deleted as well, cause an event can’t exist without a game.