I had tried bartering captured lords with lords from my clan to try to increase my reputation with them and or influence, but the only thing it effected was increasing my charisma. They also did not offer any money. It seems like It should be some balance of influence, money / reputation in addition to increasing the charisma trait since you are interacting with them.
I had also tried offering money or items to lords to try to effect relationships but that has done nothing either.
I had also tried offering money or items to lords to try to effect relationships but that has done nothing either.