the first question asks if Alice
always defects and Bob always defect what's Alice's score
after 10 rounds. We can see that when they both defect
each get one point so after 10 rounds
they've each received 10 points.Now Alice always cooperate and Bob always
defect.
Alice always get 0 Bob always gets 5
and so the answer for Alice's score is 0
finally Alice always defect
and Bob plays tit-for-tat okay let's write this out
so let's write Alice a
and Bob b and what's right with their
moves are and what Alice's pay off its
so on the first round Alice
defects cuz she always defect Tit-for-tat always cooperates
at the beginning at the very first move and so Alice's payoff here we look it
up
it's 5 on the next round Alice always defects
and Bob is going to now
do with Alice's state on the previous round which was defect
and then they each get 1 and so on
Bob goes into a mode always defect and if we count this up
the first one is 5 and then there's 9
remaining rounds where Alice gets 1 and so it's nine
plus five which is 14