I think that it would be a cool idea to have some sort of concensus mechanism on Nostr for conflict resolution.

People that would like to see a matter settled in some sort of compromise send sats to some kind of wallet and then the two npubs that have the beef enter into a public chat. 
In order to recieve the sats, they both have to agree to a compromise. No compromise, no sats, and the sats go higher and higher until dialogue is opened again and the process begins again until a resolution has been agreed to in full view of the public.