Game № 1
Colonel Blotto
Divide your troops among the battlefields. The computer will do the same using a randomized algorithm. Whoever has more troops at a battlefield wins that battlefield, and whoever wins the most battlefields wins the game.
More battlefields make the game more complex, and inject more luck. Give yourself fewer troops than the computer's 100 and see how the added randomness of many fronts can still hand the weaker side a victory.
Parameters
Battlefields
Your troops (computer gets 100)
Fewer battlefields reward brute strength; more battlefields reward strategy and surprise: the weaker colonel should concentrate forces and concede a front or two on purpose.
Your army