Men and women both experience empathy-related brain activation when viewing good people in pain.

When viewing bad people in pain, men show decreased empathy and increased reward-related activation.

In contrast, women showed no significant decrease/increase in empathy/reward-related activation, respectively.

Women self-reported a desire for revenge on the bad people (lower than men's self-reported desire for revenge), but this did not correlate with brain activation.

https://pmc.ncbi.nlm.nih.gov/articles/PMC2636868/