I don’t like being the cooperator in the prisoners dilemma while the other side keeps defecting. I also don’t like the consequences of mutual annihilation if both of us defect. It’s definitely a pickle.
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If you know for a fact they will defect you must cooperate, you have no other choice That's why the best strategy in Chicken is to precommit to defecting before the other one can - disable your steering wheel so you can't swerve
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