In a landlord friendly state I would tell them to pound sand. 

If you are trying to save money this is penny wise but pound foolish.

The old "penny wise, pound foolish" idea.

We're amazed and wonder how you are so lucky, because the few times that we have trusted guests to do something like "bring a 25 pound dog" it ends up being an 80 pound mixed breed dog that barks all of the time.  

Do the math: 100 car train, each car 100,000 pounds gross weight each.

Penny wise, pound foolish.

Military housing is at high occupancy on-post, making various home displacements more common off-post in hotels or short term rental homes.Small multi-family homes vary in neighborhood types, but the majority of them (but not all) are in a low to middle class area, raising the chances of getting unappreciative or undesirable tenants.As I mentioned earlier, I have no properties and only watch the market for now.

I am curious to use the hive mind to learn about best practices for revenue management for short-term rentals.One trick I have used is to crash prices for undesirable dates, or dates that would otherwise go un-booked.

I settled on allowing dogs and cats under 25 pounds and no aggressive breeds.  

The first three rules of RE - location, location...Is there some undesirable situation near your property that is causing the issue?