2 subgames
a subgame of an extensive form game Delta is a subset of the game having the following properties:
1. it begins with an information set containing a single decision node, contains all the decision nodes that are successors (both immediate and latter) of this node, and contains only these nodes;
2. if decision node x is in the subgame, then every x' in H(x) is also, where H(x) is the information set that contains decision node x. (That is, there are no "broken" information sets)