Electoral system

Rules help us pick leaders.

These rules tell us how to vote. They show who can win. Rules also say who can be a leader.

Some rules pick just one winner. This might be a president. Other rules pick many winners at once. This can be for a big group.

In some places, people pick a single person. The person with the most votes wins. This is a very common way.

Other rules use two rounds of voting. If no one wins first, they vote again. This helps pick a winner that most people like.

Rules make sure the voting is done right. They help us choose our leaders.

An electoral system is a set of rules for voting. These rules decide how winners are chosen. They are used in politics to pick governments. They are also used in businesses and clubs.

Rules decide many things. They say who can vote. They say who can be a candidate. They even set limits on how much money people can spend on campaigns. Some rules pick one winner, like a president. Other rules pick many winners at once, like a group of leaders.

One common way is called plurality voting. In this system, the person with the most votes wins. They do not need more than half of the votes. This is often called "first-past-the-post."

Another way uses two rounds of voting. This is very common for picking a president. If no one gets a majority in the first round, people vote again. The second round often only has the top two people. This helps ensure the winner has support from most people.

An electoral system is a set of rules for voting. These rules decide how an election result is found. People use them to pick governments in politics. They also use them in businesses or nonprofit groups. These rules cover many parts of the voting process. They decide when people vote and who can vote. They also say who can be a candidate for a job. Rules even set limits on how much money can be spent on campaigns.

Different systems work in different ways. Some systems pick just one winner for a single job. This might be a president or a governor. Other systems pick many winners at once. This is how people elect members of a parliament. Voters might vote for one person. They might also vote for a list of people from a party. Some areas are divided into small parts called constituencies. In other places, the whole group of voters acts as one unit.

Many different types of voting exist around the world. One common way is called plurality voting. In this system, the person with the most votes wins. This is often called "first-past-the-post." At least 58 countries use this for their national legislatures. Many of these are former British colonies. Another way is a two-round system. This is the most common way to pick a president. It is used in 88 different countries.

Some systems use more than one round to find a winner. In a runoff system, a winner needs a majority. A majority means more than half of the votes. If no one gets a majority, people might vote again. In Australia, they use instant-runoff voting. Voters rank candidates in order of preference. If no one wins, the last-place candidate is removed. Their votes then go to the voters' next choice. This continues until someone has a majority.

Math and science help us study these rules. Experts in economics study how voting works. They look at things like social choice and mechanism design. Some math rules show that voting is very hard to perfect. For example, Arrow's impossibility theorem is a famous result. It shows that ranked voting cannot stop a "spoiler effect." Another rule is called Gibbard's theorem. It says it is impossible to design a perfect voting system. This is because voters might always try to be strategic.

An electoral system is a specific set of rules and mechanisms used to determine election results. These systems are essential for choosing governments in politics. However, they are also used in non-political settings like businesses and nonprofit organizations. These rules govern every part of the voting process. They decide when elections occur and who is allowed to vote. They also define who can be a candidate and how many votes each person can cast. Furthermore, they dictate how ballots are marked, counted, and translated into election outcomes, such as seats in a legislature.

Electoral systems function through various mechanisms to translate votes into power. Some systems elect a single winner for a specific position. This might be a president, a governor, or a prime minister. Other systems are designed to elect multiple winners at once. This is common when choosing members of a parliament or a board of directors. The way a territory is organized also changes the mechanism. Some areas are divided into smaller districts called constituencies. In other cases, the entire electorate acts as a single unit to elect representatives. Voters may choose an individual candidate directly or select a list of candidates provided by a political party.

There are several ways to categorize these systems. One common way is to distinguish between single-winner and multi-winner systems. Another way is to look at whether contests are held at-large or within specific districts. Systems can also be classified as proportional representation, winner-take-all, or mixed systems. Mixed systems are unique because they combine different types of election methods. The mathematical formula used to find a winner is also a critical part of the system. A plurality system only requires the largest number of votes. A majority system requires more than 50 percent of the votes. Some systems use a quota, which is a mathematically determined amount less than a majority. Others require a super-majority, such as 60 percent, to win.

Plurality voting is one of the most common methods used globally. In a single-position contest, this is known as first-past-the-post (FPTP). In this system, the candidate with the most votes wins, even if they do not have a majority. At least 58 countries use FPTP and single-member districts for their national legislatures. Most of these are current or former British colonies or U.S. territories. FPTP is also the second-most common system for presidential elections, used by 19 countries.

In multi-member districts, plurality systems can vary. Block voting allows voters to have as many votes as there are seats. Cumulative voting lets a voter give more than one vote to the same candidate. Approval voting allows voters to pick as many candidates as they like, with each choice having equal weight.

Runoff systems are used to ensure a winner has a majority of the votes. The two-round system is the most frequent method for electing a president, used in 88 countries. If no one gets a majority in the first round, a second round is held. This second round often features only the top two candidates. Some countries use modified versions of this. In Ecuador, a candidate wins if they get 50 percent of the vote or 40 percent with a 10 percent lead. Argentina uses a similar system called ballotage.

Another type of runoff is instant-runoff voting (IRV). In Australia and Papua New Guinea, voters rank candidates by preference. If no one wins a majority, the least popular candidate is eliminated, and their votes are transferred to the next preference. This continues until a winner reaches a majority.

Positional systems offer another way to calculate results by using points. In a positional system like the Borda Count, candidates are assigned points based on their rank. This method aims to elect candidates who are broadly acceptable to the voters. The Borda Count is used to elect ethnic minority representatives in the Slovenian parliament. The Dowdall system is used in Nauru for parliamentary elections. In Nauru, voters rank candidates, and preferences are weighted by their position. For example, first preferences count as one, second preferences as two, and so on. The candidate with the highest total points wins.

The study of these rules involves complex mathematical and social science theories. The study of voting rules falls under the economic branches of social choice and mechanism design. Political scientists, philosophers, and mathematicians also contribute to this field. Researchers have discovered important limitations in voting design. Arrow's impossibility theorem shows that ranked voting cannot completely eliminate the spoiler effect. Gibbard's theorem shows that it is impossible to design a perfectly straightforward voting system. This is because strategic voters may always find ways to influence the outcome through their ballot choices.