Suppose the owner of a boat, on seeing an impending storm, moored his boat to a dock without first obtaining the dock owner's permission. During the course of the storm, the boat did $$500$ worth of damages to the dock; but the boat $($which was worth more than $$500)$ was saved. The dock owner sued for damages and won. a $.$ What assignment of the right to use the dock, and what rule for protecting that right $($property rule or liability rule$)$ are implied by the court's ruling $?$ b $.$ Provide an economic justification for this decision $.$