22.4 Forming Habits Below is a game tree that describes Carmen's decision of whether to try smoking or not, and her future self's decision of whether to continue smoking if she starts. Notice that Carmen knows that her preferences will change if she tries this addictive substance. -1, 1 Continue FUTURE CARMEN Try Not TODAY'S 1, -1 CARMEN Not 0 Solve this sequential game using backward induction. Describe clearly what each "player" will choose at each node, and why