Consider the following sequential$-$move game. Player $2$ can choose between three actions: L$,$ C$,$ and R$.$ After that, Player $1$ can observe Player $2$s action and then decide the action to take among U$,$ M$,$ and D$.$ Which vector is the subgame perfect Nash equilibrium payoff vector? Notice that the first dimension in a payoff vector refers to the payoff of Player $1.$

$$

Player $2$

L

C

R

Player $1$

U

$0,0$

$-10,6$

$16,-10$

M

$6,-10$

$0,0$

$-8,4$

D

$-10,16$

$4,-8$

$0,0$

$$

$(-8,4)$

Correct!

$$

$(4,-8)$

$$

$(16,-10)$

$$

$(-10,16)$

$$

$(0,0)$