The extensive form game in both diagrams appears the same, why the difference in the number of subgames?
2026-05-06 02:58:42.1778036322
How to recognize a proper sub game
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1
Subgames have to start at a trivial information set, that is, a node where the player is sure he is at that node. In the right diagram in your question, the two nodes are connected, so player $1$ is not informed of the action made by player $2$, and thus, the information set is non-trivial. Therefore, in the left diagram the number of subgames is $3$, while in the right diagram it is $1$.