Jackson ran for President in 1984 and 1988, coming in second in the 1988 Democratic party. Both times, he ran on a very liberal platform that wanted people of all races to co-operate, as well as more emphasis on education, urban issues and infrastructure. He wanted to be chosen as the Democrat's Vice-Presidential nominee, but Lloyd Bentsen was chosen instead. From 1991 to 1997, he was a shadow senator from the District of Columbia. People thought Jackson might run against Bill Clinton in the 1996 primaries, but he did not. 