The departing vice-president's profile rose during his years with Obama, and many on the left consider him a formidable opponent to Donald Trump For anyone whose heart aches for the twists and turns of the 2016 presidential campaign can rejoice, speculation has already begun about the 2020 race. On Monday, current vice-president, former senator and one-man meme machine Joe Biden said he would run for president in 2020 - maybe.