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.

It is often said that a strategy is a choice or a decision. The words “choice” and “decision” evoke an image of someone considering a list of alternatives and then selecting one of them. There is, in fact, a formal theory of decisions that specifies exactly how to make a choice by identifying alternative actions, valuing outcomes, and appraising pr

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