Frightening abstracts

Many violent relationships are characterized by a high degree of cyclicality: women who are the victims of domestic violence often leave and return multiple times. To explain this we develop a model of time inconsistent preferences in the context of domestic violence. This time inconsistency generates a demand for commitment. We present supporting evidence that women in violent relationships display time inconsistent preferences by examining their demand for commitment devices. We find that "no-drop" policies -- which compel the prosecutor to continue with prosecution even if the victim expresses a desire to drop the charges -- result in an increase in reporting. No-drop policies also result in a decrease in the number of men murdered by intimates suggesting that some women in violent relationships move away from an extreme type of commitment device when a less costly one is offered.

Here is the paper.  Here are non-gated versions.  Or put it this way: when prosecutors cannnot drop the charges against the man, the women are more likely to report the man in the first place, and also less likely to kill the man.