Nim

Nim is a simple game used for examples in combinatorial game theory. The rules of nim are simple:
 The game begins with some piles of counters.
 Players alternate turns.
 On a turn, a player takes counters from a pile. At least one counter must be taken, but up to 3. All counters must be in the same pile.
 If a player cannot take a counter, that player loses.

There is a simple mathematical strategy to play the game perfectly. If both players play perfectly, the winner is determined by the initial setup.

 Other websites 
 Nim Game 

Category:Game theory
Category:Solved games