Strict separation of choice and structure

In the US, there was recently a recall referendum for Democratic Governor Newsom. The referendum had a certain structure, which was basically:

1. Recall Newsom, Yes or No?
2. If Yes, who from the following list will you vote for?

The structure of the referendum made the choices problematic for both parties. If the majority of voters had chosen to recall (part 1) then a split vote for part 2 might have gone to an opposition (Republican) candidate.

The author contends that Game Theory has much to say about the way individual choices (e.g., whether to recall or not) are affected by the structure of the game (e.g., the way the referendum is laid out and whom to vote for.)