Ebay buyer wants my e-mail address for PayPal payment?

Yesterday I put my PS4 on Ebay and today it was bought. The buyer has now written to me and wants my e-mail address to pay with PayPal. The profile of the buyer looks very dubious. He is only since registered today has no reviews and apparently comes from the UK.

I have no idea what to do now. Can someone help me please?

If you have not offered Paypal, you do not have to do that later. Normally, you deposit your PayPal address on Ebay, so that the buyer can then pay automatically.

That's cheating. Report EBay and it's gone. You can stop right now. Set this time with shipping only within DE. No one can bid / buy without an address in DE.

No matter, the trick is this:

He wants your mail
In a few days, a mail comes from a fake bank that money is there for you and you can send the goods.
The hope is that you send the goods, there's never money.

Did you offer PayPal as a payment option? If so, should it go by itself… If not, why would he want to pay with PP?

Of course, he needs your email address, if he wants to pay "backwards" with PP (as a friend, for example), but that is unusual and should not happen…