Question 2

Pots of gold game: Two players A & B. There are pots of gold arranged in
a line, each containing some gold coins (the players can see how many
coins are there in each gold pot - perfect information). They get
alternating turns in which the player can pick a pot from one of the
ends of the line. The winner is the player which has a higher number of
coins at the end. The objective is to "maximize" the number of coins
collected by A, assuming B also plays optimally. A starts the game. 

The idea is to find an optimal strategy that makes A win knowing that B
is playing optimally as well. How would you do that?