At the end of the auction the existing tenants are offered to renew at the winning price first (maybe with some discount to cover the cost of switching tenants). If they don't want to pay that, then it is offered to the auction winner.
I don't think it would work if the auction itself binds you into the rental contract, as you probably want to bid on multiple properties so you have another option if you don't win.
Does anyone know in general why rental properties aren't negotiated further in advance? When I was renting this was actually the biggest issue - when you are struggling to find a place and you have 2 weeks to do it.