said by hottboiinnc4:most of the time the supermarket has a multi-year lease on it that they still pay for. But i wouldn't tear it down. Re-lease it. But the problem is that the ones that have the multi-year leases will sublease and then what more than what the building is worth.
There are many like that in Northwest Ohio. Especially an old Foodtown store that wants $5.00psq the building is over 10years old! No way is anyone going to pay that. Walmart wants almost the same for their old store. But they also renew the lease every time it comes up to expire due to they can keep out any competition like Target that wanted it.
The solution to the later problem is a "Use it or Lose it" clause in the Lease renewal terms. If they have left the property vacant at renewal time, they can be optionally be denied the right to renew the lease (or they can be allowed to renew for the normal period with the a "cut short" provision such as the one in my next sentence). There can also be a possible clause that can allow the owner to foreclose on a vacant/abandoned property at the anniversary date (ie: The lease can be terminated at the next anniversary of the signing after the end of the property being vacated for a set period of time).
As to the sub-lease situation, this can be handled by a a ban or restrictions in the Lease.