Consider a modified version of the prisoner’s dilemma. This time, the prisoners are allowed to communicate, but they also have to solve an additional technical problem, say, how to split the loot. They may start with agreeing on not betraying each other to the prosecutors, but later one of them may say: “I’ve done most of the work. I want 70% of the loot, otherwise I am going to rat on you.” It’s easy to see how the problem would escalate and end up in the prisoners betraying each other.
Minor note, but I think you could just talk about a [bargaining game}(https://en.wikipedia.org/wiki/Cooperative_bargaining), rather than the Prisoner’s Dilemma, which appears to be unrelated. There are other basic game theory examples beyond the Prisoner’s Dilemma!
Minor note, but I think you could just talk about a [bargaining game}(https://en.wikipedia.org/wiki/Cooperative_bargaining), rather than the Prisoner’s Dilemma, which appears to be unrelated. There are other basic game theory examples beyond the Prisoner’s Dilemma!