Good luck with that! (seriously)

Many times bullies are well protected and are practically untouchable. For example they could be from minority, and any sort of complain makes anyone automatically racist.

To win over administration one has to become victim himself. For example it is generally acceptable to bully nerds. So one has to be diagnosed with mild autism or social anxiety, before he can even hope for any sympathy. So now the bullies are consuming even free time outside work/school and destroy remaining self a steam.

And winning price is usually low, and does not even cover expenses and lost time. Bully may get short holiday, but usually returns to same position.