donkey vote

Etymology
From +. Donkeys are typically depicted as clumsy and lacking intelligence (see ass), and donkey voters are typically people who know little about politics.

Noun

 * 1)  The act of casting a vote, in an election using a preferential voting system, by specifying the candidates in the order in which they are listed on the ballot paper (i.e., by numbering the choices sequentially from top to bottom, ignoring what they represent); a vote so cast.

Usage notes
Donkey votes are counted as formal votes in Australia. It should not be confused with an informal vote, which is nullified.