Keep me secrets, they are both better of than it they get exposed. if only one i
ID: 1213297 • Letter: K
Question
Keep me secrets, they are both better of than it they get exposed. if only one is exposed, the other person is off than if no one was exposed. Their payoffs from each option are given in the payoff matrix below. **Scroll down to see the rest of the question.** Suppose that Nene and Kim play the game over 4 television seasons (each season is a new game). Consider the following scenarios. Remember, a tit-for-tat strategy is one where the person starts by cooperating and then plays whatever strategy the other firm played last. Over four seasons, how much will Nene make if she and Kim both play tit-for-tat? Over four seasons, how much does Nene make if she always exposes and Kim plays tit-for-tat? Over four seasons, how much will Nene make if she plays a tit-for-tat strategy and Kim always exposes? Over four seasons, how much will Nene make if she and Kim both always expose? Does Nene have a dominant strategy when she and Kim play for 4 seasons? (Solve for the quantities to the right first). No, there is no dominant strategy between tit-for-tat and always expose in this situation. Yes, always expose is a dominant strategy, Yes, tit-for-tat is a dominant strategy.Explanation / Answer
a) Nena and kim will first cooperate, and then replicate what each made in the previous round, so they will always keep secrets
Nena = (8 + 8 + 8 + 8) = 32
Kim = (8+ 8 + 8 + 8) = 32
b) kim will always expose and nena will first cooperate but then will respond equally to kim's actions
nena = (2 + 5 + 5 + 5) = 17
kim = (10 + 5 + 5 + 5) = 25
c) nena will always expose, and kim will first cooperate and then always respond equally to nena actions:
nena = (10 + 5 + 5 + 5) = 25
kim = (2 + 5 + 5 + 5) = 17
d) Both always exposing:
Nena = (5 + 5 + 5 + 5) = 20
Kim = (5 + 5 + 5 + 5) = 20
e) Kims's dominant strategy according to the previous seen, should be playing always exposing Nena, due to independent to what nena does, she gets the most points by exposing rather than keeping secrets.
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