Bidding war OK for home purchases, but what about when renting?

[Charles Phanumphai]

We listed a long term property for rent and fortunately have received many inquiries.  We are narrowing down to a select few for the in person showing in order to limit traffic exposure but if all things being equal (background check, credit check, personal connection, etc.) would it be proper etiquette/legal/ethical/moral to do/allow for a bidding war as we have all frequently seen during high demand home purchases?   Thanks in advance for your input.