This is the tree: https://imgur.com/a/MJ9mmBN
I solved for the normal form equilibria: (SS, SS), (SS, SC), (SC, SS), (SC, SC), and (CC, CC)
However, I am not sure how to go about backwards induction.
My specific point of confusion is that if player 1 chooses C, then player 2 can choose S or C and get the same payoff (3).
How does player 1 factor this into his decision making? I'm not sure if the risk of 2 choosing S will make player 1 choose S instead of C, even though C can potentially get him a higher payoff if player 2 chooses C as well.