My tires have carbide studs, just like those in car tires, only shorter. I run Nokian Hakkapeliitta W106 in 700x35/38.
If Hakkapeliitta bike tires are half as good as their auto counterparts, I'll run out and get a pair. I used these on all 4 wheels of my Miata and not once, even in the worst of our winter storms did I not have rock solid positive traction and control, which is pretty good with a 2,100 pound sports car. I always enjoyed maneuvering around stranded 4wd SUVs as their drivers stood by scratching their heads.
The only limitation was fresh snow more than 6" deep, on which the car would ski up and get stranded with wheels of the ground. This happened only once, after which I used some self imposed common sense restrictions.