The kids and I have been playing quite a bit of Settlers of Catan lately. It’s a turn based game in which players compete to build settlements and control resources on the island of Catan. Dice rolls, and thus luck, play a part too. It’s quite a fun game that requires players to formulate an initial strategy based on a variable board layout, adjust strategy in real time based on changing elements, understand a little about supply and demand, and negotiate with the other players to obtain the resources needed to expand your empire.
It sounds complicated, but a 10 year old can easily learn to play it in 10 minutes. It’s a great family game, as nobody gets eliminated during the course of the game and both cooperative and competitive actions are required to win. A typical game lasts about an hour or so.