Parent pages with special children

OK, it’s hard to explain what I want to accomplish in one sentence, excuse me for the topic title.

I’d like to create pages (a new custom post type, called Event).
Each Event consists of some of his own data, like date, title and a picture.
Each Event is also the parent of several Games (also a new post type?).
Each Game has his own title, rules, etc and of course, an Event parent!

So I’d like this structure:
Event 1
– Game 1 of Event 1
– Game 2 of Event 1
– Game 3 of Event 1
Event 2
– Game 1 of Event 2
– Game 2 of Event 2
– Game 3 of Event 2

What is the best way to achieve this structure? What is the best approach? I don’t have any clue where to look…

Cheers!
Lourens