Is he serious about buying my house

[notagain2018]

So, guy viewed house about 5/6 weeks ago but offered way below asking price and said this was his full and final offer and wouldn't budge. I said no as it was just too low. He came back about 3/4 weeks later to ask if I had changed my position. I said no again and he refused to budge. But then the next day, he upped his offer twice. He was still only a tiny bit short so I held out again.
A week then goes past and nothing. Then he comes back and says he's been moving house and is still 'thinking about it'. Then another week goes past and he asks to view the house again (3rd time).
Another week then passes and nothing. Then he emails agent to say the viewing went really well and he will get back to him 'tomorrow'. That was 2 weeks ago now.
I decided to ask the agent to email him and I would meet him in the middle to try to get the ball rolling.
That was a week ago and no reply again.
The agent thinks he really wants the house but I'm demented with all this waiting. i feel like he's messing me around now and not even sure if he is serious. The 'not replying' is the worst part.
I am now seriously regretting not just accepting his 2nd offer. The agent convinced me to 'hold my nerve' but looks like it has backfired now.
I wouldn't mind but I've not had a viewing in weeks and am worried I've lost him.

Is he the only buyer that offered? If I was him I would be loathe to keep increasing my bid as I would be bidding against myself. I think when you kept looking for more he decided to see look around again. I know that is what I would do in the current market.

@LegoPiecesEverywhere yes but I had the house on at 'offers over' and he offered £10k less. I simply couldn't have afforded to take that drop. When he came back again I did say I could come down by £5k but that was the minimum I could accept.
So, he wasn;t bidding against himself, I told him the minimum I would accept. I have since come down another £1k just to get the deal done but he's now messing me about.
He;s welcome to carry on looking around, that's his perogative but he's playing a strange game cos he doesn't know I won't get another buyer come along soon (I hope). He's now the last person I'd really want to sell to.

So after about 5 weeks since his last email, he has confirmed today he wants to proceed with the purchase. He has agreed to the price and date of exchange.
I'm happy but, at the same time, cautious until it all goes through.
Wish me luck!

Good luck! Sounds as though he's realised that's the best deal he's going to get in the area. I hope all goes well and you can get on with your new life in a new home.

wowfudge thank you!