Good Tenant? Refuses to do background check

[Alex Kovalenko]

Hey guys - we just started renting out a unit and have someone who is interested but refuses to do background checks (says: I am not applying for a job - why should I do a background check). He claims to have sold his house (no landlord references) and divorced his wife and wants a place for himself and his dog. He claims to be retired (no employment letter). 

We have just started advertising - what should we do? Thanks!