GAME THEORY MAKE BRAIN BIG: COLONEL BLOTTO I

Colonel Blotto has six soldiers in his command. The opposing colonel has six as well. There are three simultaneous battles. In each battle, the colonel who sends the most troops wins. The colonel who wins the most battles wins the war. To keep things (somewhat) simple, the colonels can only choose between sending combinations of 1,1,4, or 1,2,3, or 2,2,2 troops into the battles.

What’s Blotto’s best strategy? (Stumped? Check the answer key at the back of the book.)