First and second round: understand the mathematics of elections
Image credits: Agência Brasil

First and second round: understand the mathematics of elections

In Brazilian elections, there are two systems for electing representatives: the majority system, for the positions of president, governor, senator and mayors, and the proportional system, for federal and state deputies and councilors. In the case of these elections, municipal positions are left out. See how each of them works and how they apply in these elections.

To get elected President, the candidate must receive an absolute majority of votes, more than 50%, null and blank votes already discarded. It's the call majority system, which, in the case of these elections, also elects governors. This is provided for in the second paragraph of article 77 of the Constitution. This same article determines that the elections will be held on the first Sunday of October, the first round, and on the last Sunday, the second.

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When counting valid votes, blank votes, when no number was entered, and null votes, when the voter entered a number that does not correspond to that of any of the candidates, are not counted.

The second round is held when the candidate with the most votes does not reach the absolute majority of valid votes. In this case, the two most voted candidates compete again for the voter's preference. The person elected will be the one who wins the absolute majority of valid votes.

Senators are elected by a relative majority of votes, that is, they need to win more votes than their competitors in the state they intend to represent.

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Proportional System

In the case of federal and state deputies, the calculation is a little more complicated, as they are chosen by the proportional vote system. In this case, to reach those elected, the number of vacancies, the total number of valid votes from the party or coalition and the total number of votes from the candidate are taken into account.

The proportional system allows voters to vote only for the party, without allocating their vote to any specific candidate. These data determine the electoral quotient and the party quotient and the combination between them will determine whether the candidate will win a seat or not, even if he has received good votes.  

To know how the calculation is made, it is first necessary to understand that:

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  • Electoral quotient is the total number of valid votes divided by the number of vacancies. The result of this count is the number of votes that each party or coalition needs to elect a single deputy.
  • Party quotient is the total number of valid votes received by the isolated party or coalition divided by the electoral quotient.

Ready: the result of this mathematics corresponds to the number of seats to be occupied by the party or coalition, which will distribute them among the most voted in their parties. And he doesn't always like it, as it may happen that a well-voted candidate doesn't get elected.

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