Ok, how likely is this?
We saw a big unwieldy, impractical house that needs loads of work in a moribund seaside town. Of course, we fell in love with it 
After months of looking at other more practical options, we decided to go with our hearts (even though we have gone down that route before and swore never, ever to do it again)
Well, on Tuesday we made a cheeky offer. It had been on the market for 6 months and there are a number of houses on that street for sale, and imo, while the one we like is cheaper, it is priced low for a reason - it has loads of roof work, damp proofing etc. required.
EA says no to our offer...we decide not to raise our initial offer. EA then called yesterday to say that there has been another offer on the property and whether we wanted to increase our offer. I said no, please go ahead with the other seller.
Is the EA bluffing or do you think they actually have another offer on the table...? What would be your next step if you were in my position...?