second ballot

noun

an electoral procedure in which if no candidate emerges as a clear winner in a first ballot, candidates at the bottom of the poll are eliminated and another ballot is held among the remaining candidates

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012