If you know anything about board games then you've probably heard of Catan.
If not, well now's the perfect chance to find out about it, because the regular and HD versions of the digital version of the classic are on sale on the App Store right now.
The game lets you play with up to three other people on or offline to see who can build the biggest settlements, the longest roads, and the strongest army. It's a classic of the strategy genre, and these digital versions capture the fun perfectly.
Settle this like lords
There's trading as well. You're not fighting against your opposition, but you are competing with them. You'll still need them to get resources that you haven't got hold of though.
It's a simple system, but it opens up a huge amount of tactical possibilities. Once you've got to grips with things you'll find yourself having some brilliant games against the computer or real-life people.