A basic game of Nim: Players’ objective is to take the last object from the table. The player who does not remove the last object loses. Two players start with ten objects. Each can, in his or her turn, remove either one object or two objects.
So, for example,
•••••••••• I take one.
••••••••• You take one.
•••••••• I take two.
•••••• You take one.
••••• I take two.
••• You take one.
•• I take two.
I win.
If a win is to remove the last object, the first player can always win. If a win is to force the other player to remove the last object (or if there are 12 pieces to start instead of 10), the second player can always win.
A basic game of Road Rage in the state of Abstractia (Abstractia follows common U.S. law, but Abstractians are low-IQ, behave amorally, and have very high time preference): Players’ objectives are:
A) To remain alive. Failing to remain alive is a total loss. The opponent’s use of deadly force invariably causes a player to lose under condition (A).
B) to remain within the …