Just a note on the Pascal’s Mugging case: I do think the case can probably be overcome by appealing to some aspect of the strategic interaction between different agents. But I don’t think it comes out of the worry that they’ll continue mugging you over and over. Suppose you (morally) value losing $5 to the mugger at −5 and losing nothing at 0 (on some cardinal scale). And you value losing every dollar you ever earn in your life at −5,000,000. And suppose you have credence (or, alternatively, evidential probability) of p that the mugger can and will generate any among of moral value or disvalue they claim they will. Then, as long as they claim they’ll bring about an outcome worse than −5,000,000/p if you don’t give them $5, or they claim they’ll bring about an outcome better than +5,000,000/p if you do, then EV theory says you should hand it over. And likewise for any other fanatical theory, if the payoff is just scaled far enough up or down.
Just a note on the Pascal’s Mugging case: I do think the case can probably be overcome by appealing to some aspect of the strategic interaction between different agents. But I don’t think it comes out of the worry that they’ll continue mugging you over and over. Suppose you (morally) value losing $5 to the mugger at −5 and losing nothing at 0 (on some cardinal scale). And you value losing every dollar you ever earn in your life at −5,000,000. And suppose you have credence (or, alternatively, evidential probability) of p that the mugger can and will generate any among of moral value or disvalue they claim they will. Then, as long as they claim they’ll bring about an outcome worse than −5,000,000/p if you don’t give them $5, or they claim they’ll bring about an outcome better than +5,000,000/p if you do, then EV theory says you should hand it over. And likewise for any other fanatical theory, if the payoff is just scaled far enough up or down.