Learn to Play: Zendo
Zendo is a fantastic logic game for n players. The game is self-constructed. Just buy several sets of Loony Labs "Ice Dice" or equivalents, get some colored glass counters, and go nuts. To quote wikipedia:
"Zendo is a game of inductive logic designed by Kory Heath in which one player (the "Master") creates a rule for structures ("koans") to follow, and the other players (the "Students") try to discover it by building and studying various koans which follow or break the rule. The first student to correctly state the rule wins."