I have noticed a still dwindling supply in Fulham and agree that asking prices seem to be higher (only a feeling rather than fact). Property Bee reports 3 properties actually increasing their asking price. I know one was due to the vendor being 'a bit strange' (Quote from the estate agent). Not sure on the others.
Personally, I've pulled out of viewings this week after making appointments in the week only to be told by Sat they had gone under offer. I don't understand it! I'm keeping an eye on land registry data to see what properties are actually going for. Estate agent has repeatedly told me they are going near asking but I'm not sure I believe that.
I'm trying to hold my nerve and convince my wife this is a spring bounce. An agent told me that Fulham traditionally does some 60/70% of business in 1st half of the year, so I'm going to sit the summer out and see what will happen in Sept/Oct or maybe early next year.
I saw another thread suggesting supply was increasing elsewhere, maybe that will happen in Fulham as vendors see prices stabilising so they put their property (back) on the market thus causing a fall. (Fingers crossed)
Olala - Interesting idea about buyers getting together as I'm in the same boat as you. Unfortunately, I don't have a solution but I would be interested in anything that stopped prices being driven up.