It's my opinion that if a property has a "negative market value," it actually doesn't have a market value in the first place. It's difficult wrap one's mind around for the simple reason that in the market, properties never transfer under the conditions required by the market value definition. Thus a negative market value is purely hypothetical.
There is most definitely a value for this type of property, and that value can be negative, but just not market value, because such a value is purely hypothetical. Typically a property is assigned a negative value for accounting or investment purposes, which is not a market value, but another value type.