The Compleat Strategyst: Being a Primer on the Theory of Games of Strategy (Dover Books on Mathematics)

Or consider the Monty Hall problem: On a game show, you are given the choice of three doors leading to three rooms. You know that in one room is $100,000, and the other two are empty. The host asks you to pick a door, and you pick door #1. Then the host opens door #2, revealing an empty room. Do you want to switch to door #3, or stick with door #1?

TIT FOR TAT is merely the strategy of starting with cooperation, and thereafter doing what the other player did on the previous move.

“No other human activity is so continuously or universally bound up with chance,” Clausewitz writes of war in On War. It’s a “paradoxical trinity,” composed of the passions that cause combatants to risk their lives, the skill of their commanders, and the coherence of the political objectives for which the war is being fought. Only the last is fully

One of the Colonel Blotto game’s main lessons is that under most circumstances, winning strategies are nontransitive: all players have strengths and weaknesses, leaving no individual player dominant against all comers. Further, the game shows that an underdog hitting on the right strategy can slay the favorite.