minimax for more than 2 players

Hi looking at page 166, i doing utility functions for the terminal states on the ply's i can follow the game right up to before A chooses 1,2,6

why did it choose 1,2,6?

from the bottom we have:

6>3 : C chooses 6
2>1 : C chooses 2
2>1 : C chooses 2
5>1 : C chooses 5

2>1 : B chooses 2
5>4 : B chooses 5

1=1 : Why did A choose (1,2,6)?

Did A chose 1,2,6 because 1 +2 +6 > 1 + 5 +2 ?

ive uploaded a ppt file to cos3114@gmail.com u/p: unisa/goodluck which has great information on chapter 6. its really just a summary of chapter 6 but this ppt is a really great read.

read it AFTER you've studied 6. you'll see what i mean. this ppt does not answer my question, but i think my assumption in my question was correct.