Your query is UPDATEmissing a sentence WHERE, so even if MySQL allowed it, the effect would be to find the value votesfor the row, ID =1add 1 to it, and then update everything in the table with the result.
, . ,
UPDATE nominees
SET votes = votes +1
WHERE ID =1
, ,
UPDATE nominees
SET votes = (select votes + 1
FROM (SELECT votes
FROM nominees
WHERE ID = 1) T)
You can't specify target table 'nominees' for update in FROM, .