What's the noun for balloter? Here's the word you're looking for.
ballot
Originally, a small ball placed in a container to cast a vote; now, by extension, a piece of paper or card used for this purpose, or some other means used to signify a vote.
“Range of motion, knee swelling, patellar ballottement, and knee instability involving Lachman test and pivot shift test were examined 1 year after surgery.”
“He said ballottement of joint swelling is key, showing how he squeezes a joint with his fingers to determine its character and the presence of inflammation.”
“Knee with effusion was defined as a knee that felt and looked swollen, had a positive patellar ballottement test, and did not require saline injection for synovial fluid aspiration.”
“For the first time this year, balloters must weigh the fate of two eminent stars, Barry Bonds and Roger Clemens, who are also the most celebrated poster boys for the game's disgraced steroid era.”
“The 1860s also have a particular resonance at election time, as the country splits along political and cultural lines that still separate white Southern voters from balloters in blue Union states.”
“More information about the methodology and balloters is available in the introduction of the book.”