Just make sure that you've still got enough after your max bid to require the house, fix the chimneys which the previous owners had bodged, sort out the wet rot the survey shows up, etc...
The agent did this to us. We upped our offer to our max and got it in the end. In retrospect I doubt there was another bidder so we ended up paying 20 grand more which hurts a bit. On the plus side the flat is now worth 80 grand more a year later if zoopla estimates are to be believed.
Just make sure that you've still got enough after your max bid to require the house, fix the chimneys which the previous owners had bodged, sort out the wet rot the survey shows up, etc...
That has to be the lesson of this thread so far.