Outlaw modern-day corporate trafficking. You cannot buy pieces of a person; corporations are legally people; you should not be able to buy pieces of them.

Remove the corporate veil. All liability will rest upon a corporation's guardians. Bankruptcy, and civil and criminal suits, will personally affect the officers and shareholders of said corporation (and their assets). The same way, if your child goes out drinking and driving, the parents are now liable for any people slaughtered along the way; or if your dog goes out and mauls some child, it will be put down and you will face restitution for damages.