A game of strategy, and a game of wit. This is the game that I play. This is Dota2.
Why a game of strategy? You need such plays or a strategy to win as a team. Good picks on heroes, good laning, and good counter against the enemy heroes. I also believe that individual skill is a big factor in games but strategies plays a bigger role in a competition. Also that strategy gives order in a team, it gives such cleanliness and confidence when you have a strategy. So with strategy you have a big chance to win a game, do not rely on individual skill but rely on the team's strategy.
But you can't make a good strategy without the brains. Every member in a team can make his own strategy but with a captain everything will be organized and clean. Also that a captain must possess such leadership, skill, and of course wit! He will make strategies and plays for the team. Without this wit, good strategies cannot be made. You need a brain that will know this game well. Also with wit anything can happen in the game.
So this game does not only teaches you to have fun but also teaches you how to be smart!