What do you mean by variable pricing. Haggling? Having the costs vary by time is fine as long as it's detailed on the pricing sticker.

Edit: here are the details http://www.transportstyrelsen.se/Vag/Yrkestrafik/Taxi/Prisin...

Uber could use this standard exclusion: "Tariffs by written agreement exclusively for a particular customer or passenger category do not have to be reported in the price data."

edit2: I'm reading the law now. There are massive loopholes all over this thing. Uber could easily implement their standard business model within this framework if they'd just comply with a few things http://www.transportstyrelsen.se/Global/Regler/TSFS_svenska/...