The same thing that happened last halving, nothing special, business as usual...
The last halving happened in 2012. At that time, the demands wasn't big and the mining competition wasn't big either. But now, many still have to sell them for electrical fees. Some claimed to have kept a portion of it in Bitcoins from the mining profits. Since many would have ROIed by now, I can't say about how much the halving would impact prices but I doubt the prices would skyrocket.