After reading this, I did a Mathematica notebook on the game. A set of strategies S={ {...}, {...} ...} where each is a list of ten integers, describing a player's troop allotment across ten territories. For a score function, I counted the number of territories that a player has more troops in than the other guy. Comparing each strategy against the set (107 in my set), the result looks like this:
Number of times a player won each amount of territories with their strategy. Some strategies won more territory than others. The total number of territories won, by strategy index number:
