can be modeled as a Defection in a prisoner’s dilemma
No, it can not—in a PD you make your decision not knowing the other party’s decision. Here if you challenge, the other party already knows your choice before having to make its own.
You’ve Defected, and they’ve Cooperated, the moment you issued your challenge, and they didn’t. They’re now in a disadvantageous position, and you’re in an advantageous position; their subsequent Defection is in a different game with altered payoffs, but it also qualifies as a PD. (You could, after all, Cooperate in the subsequent game, and retract your challenge.)
Prisoner’s Dilemma is generally iterative in real life.
No, it can not—in a PD you make your decision not knowing the other party’s decision. Here if you challenge, the other party already knows your choice before having to make its own.
So get a reputation for being revengeBot?
You’ve Defected, and they’ve Cooperated, the moment you issued your challenge, and they didn’t. They’re now in a disadvantageous position, and you’re in an advantageous position; their subsequent Defection is in a different game with altered payoffs, but it also qualifies as a PD. (You could, after all, Cooperate in the subsequent game, and retract your challenge.)
Prisoner’s Dilemma is generally iterative in real life.