Practically, third parties who learn about an accusation will often have significant uncertainty about its accuracy. So, as a third party seeing Ben (or anyone else) make a highly critical post, I guess I could remain agnostic until the truth comes out one way or another, and reward/punish Ben at that point. That’s certainly an option. Or, I could try to have some kind of bar of “how reasonable/unreasonable does an accusation need to seem to be defensible, praiseworthy, or out of line?” It’s a tough continuum and you’ll have communities that are too susceptible to witch hunts but also ones where people tend to play things down/placate over disharmony.
Punish transgressions; reward true accusations; punish false accusations. The probabilities will then attend to themselves.
...only when there are no externalities and utilities from accusations and inflicted damage are symmetric. Neither of these is the case.
The scale of the two punishments and the reward don’t have to be the same, which can account for that.
Practically, third parties who learn about an accusation will often have significant uncertainty about its accuracy. So, as a third party seeing Ben (or anyone else) make a highly critical post, I guess I could remain agnostic until the truth comes out one way or another, and reward/punish Ben at that point. That’s certainly an option. Or, I could try to have some kind of bar of “how reasonable/unreasonable does an accusation need to seem to be defensible, praiseworthy, or out of line?” It’s a tough continuum and you’ll have communities that are too susceptible to witch hunts but also ones where people tend to play things down/placate over disharmony.