The two-round system (TRS or 2RS), sometimes called ballotage, top-two runoff, or two-round plurality, is a single-winner electoral system which aims to elect a member who has support of the majority of voters. The two-round system involves one or two rounds of choose-one voting, where the voter marks a single favorite candidate in each round. If no one has a majority of votes in the first round, the two candidates with the most votes in the first round move on to a second election (a second round of voting). The two-round system is in the family of plurality voting systems that also includes single-round plurality (FPP). Like instant-runoff (ranked-choice) voting and first past the post, it elects one winner.
The two-round system first emerged in France and has since become the most common single-winner electoral system worldwide. Despite this, runoff-based rules like the two-round system and RCV have faced criticism from social choice theorists as a result of their susceptibility to center squeeze (a kind of spoiler effect favoring extremists) and the no-show paradox. This has led to the rise of electoral reform movements which seek to replace the two-round system with other systems like rated voting, particularly in France.
As well, TRS means voters sometimes have to gather to vote a second time, and sometimes the intervening period of time is rife with discord.
In the United States, the first round is often called a jungle or top-two primary. Georgia, Louisiana, California, and Washington use the two-round system for all non-presidential elections. Mississippi uses it for state offices. Most other states use a partisan primary system that is often described as behaving like a two-round system in practice, with primaries narrowing down the field to two frontrunners. (Alaska and Maine use the Instant-runoff voting system, the ranked-choice voting (RCV) system, which unlike TRS does not require multiple rounds of voting.)