In a situation of prisoner\'s dilemma in game theory, Chris can cooperate or def
ID: 1141479 • Letter: I
Question
In a situation of prisoner's dilemma in game theory, Chris can cooperate or defect, while pat can do the same. This leads to four possible combinations of action.
A.) Now suppose that Chris and Pat had an accomplice, John. John is also caught by the police and he faces two options: to cooperate or to defect. In this case of three players, how many possible combinations of action can you find? List them.
B.) Now suppose that there is no accomplice, but that Chris has n possible strategies while Pat has n possible strategies. In this setting, how many possible combinations of action are there?
Explanation / Answer
A) In case of 3 players, following combinations are possible:
chris has 2 option, pat has 2 options, john has 2 option => total possibilities =2*2*2 =8
B) Chris has n options, pat has n options => total possibilities = n*n = n2
S.No. Chris Pat John 1 cooperate cooperate cooperate 2 cooperate defect cooperate 3 cooperate cooperate defect 4 cooperate defect defect 5 defect cooperate cooperate 6 defect defect cooperate 7 defect cooperate defect 8 defect defect defect