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Weighted voting refers to voting rules that grant some voters a greater influence than others (which contrasts with rules that assign every voter an equal vote). Examples include publicly-traded companies (which typically grant stockholders one vote for each share they own), as well as the European council, where the number of votes of each member state is roughly proportional to the square root of the population. [1]
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The Roman assemblies provided for weighted voting after the person's tribal affiliation and social class (i.e. wealth). Rather than counting one vote per citizen, the assemblies convened in blocs (tribes or centuries), with the plurality of voters in each bloc deciding the vote of the bloc as an entity (which candidate to support or whether to favor or reject a law, for instance). Men of certain tribes and a higher social standing convened in smaller blocs, thus giving their individual vote the effect of many poor citizens' votes. In the Plebeian Council, where only the plebians could participate, these effects were somewhat relaxed, thus making the decision to grant its decisions (called plebiscites) the full force of law controversial (Lex Hortensia in 287 BC). [2]
In several Western democracies, such as Sweden and pre-unitary Germany, weighted voting preceded equal and universal suffrage, as well as women's suffrage, to different extents. In Sweden, universal and equal male suffrage to the lower house (Andra kammaren) was introduced by Arvid Lindman's first cabinet, while voting for city and county councils, which indirectly decided the composition of the upper house (Första kammaren), was graded along a 40-degree scale. Certain corporations also had votes of their own, thus multiplying the political strength of its owners. Weighted voting was abolished in Nils Eden's reforms of 1918-19, when female suffrage was also introduced. [3]
After 1946 and the Brazzaville Conference of 1944, French colonial authorities set up a system of double collège where the local population would be divided in two electoral colleges, both returning the same numbers of delegates, the first being composed by French citizens and évolués and the second by natives with indigenous status.
This system was also used in French Algeria until 1958.
This system was abolished on 1958 with the Loi Cadre Defferre.
Under its 1961 Constitution, the British colony of Southern Rhodesia provided for a special form of weighted voting called cross-voting. Essentially, voters were rounded up in two voters' rolls, with the A roll bearing requirements generally reached by the European-descended population, but only in a few cases by Africans. The B roll provided for many Africans and a few Europeans, but not all the adult population. Despite its limited size in terms of voters, the A roll played the major influence in electing the 65 members of parliament, which was further bolstered by the lack of support to sign up for the B roll, and its much lower turnout.
In 1969, cross-voting was abolished altogether in favor of a de jure segregationist weighted voting system, in which the A roll (electing 50 seats) was reserved for Europeans, Coloureds and Asians meeting higher property and education requirements, and the B roll (electing eight seats) reserved for Africans meeting lower property and education requirements. In its 1970 general election, about 50,000 A roll voters (essentially all white) elected 50 parliamentary seats, a little more than 1000 tribal chiefs elected eight special seats, whereas the rest of the population were to be content with the remaining eight seats.
The Hong Kong legislature elects 30 out of 90 of its members through so-called ’Functional Constituencies’, which in effect represent local business interests in a corporatist manner.[ citation needed ][ further explanation needed ]
A weighted voting game is characterized by the players, the weights, and the quota. A player's weight (w) is the number of votes he controls. The quota (q) is the minimum number of votes required to pass a motion. Any integer is a possible choice for the quota as long as it is more than 50% of the total number of votes but is no more than 100% of the total number of votes. Each weighted voting system can be described using the generic form [q : w1, w2, . . ., wN]. [4]
When considering motions, all reasonable electoral systems will have the same outcome as majority rules. Thus, the mathematics of weighted voting systems looks at the notion of power: who has it and how much do they have? [5] A player's power is defined as that player's ability to influence decisions. [6]
Consider the voting system [6: 5, 3, 2]. Notice that a motion can only be passed with the support of P1. In this situation, P1 has veto power. A player is said to have veto power if a motion cannot pass without the support of that player. This does not mean a motion is guaranteed to pass with the support of that player. [4]
Now let us look at the weighted voting system [10: 11, 6, 3]. With 11 votes, P1 is called a dictator. A player is typically considered a dictator if their weight is equal to or greater than the quota. The difference between a dictator and a player with veto power is that a motion is guaranteed to pass if the dictator votes in favor of it. [4]
A dummy is any player, regardless of their weight, who has no say in the outcome of the election. A player without any say in the outcome is a player without power. Consider the weighted voting system [8: 4, 4, 2, 1]. In this voting system, the voter with weight 2 seems like he has more power than the voter with weight 1, however the reality is that both voters have no power whatsoever (neither can affect the passing of a motion). Dummies always appear in weighted voting systems that have a dictator but also occur in other weighted voting systems (the example above). [4]
A player's weight is not always an accurate depiction of that player's power. Sometimes, a player with a large weight votes can have very little power, or vice-versa. For example, in a weighted voting system where one voter has 51% of the weight, this voter holds all the power, even if there is another voter who theoretically has 49% of the weight.
The Banzhaf power index and the Shapley–Shubik power index provide more accurate measures of voting power, by estimating the probability that an individual voter's ballot will be decisive. Such indices often give counterintuitive results. For example, commentators often mistakenly assume the United States Electoral College is weighted in favor of smaller states (because it assigns every state 2 additional electoral votes). However, more detailed analysis typically finds that larger states have more power than implied by their number of electors, making the system as a whole biased towards larger states (unlike a simple popular vote).
Proportional representation (PR) refers to any type of electoral system under which subgroups of an electorate are reflected proportionately in the elected body. The concept applies mainly to political divisions among voters. The essence of such systems is that all votes cast – or almost all votes cast – contribute to the result and are effectively used to help elect someone – not just a bare plurality or (exclusively) the majority – and that the system produces mixed, balanced representation reflecting how votes are cast.
The single transferable vote (STV), sometimes known as proportional ranked choice voting (P-RCV), is a multi-winner electoral system in which each voter casts a single vote in the form of a ranked-choice ballot. Voters have the option to rank candidates, and their vote may be transferred according to alternate preferences if their preferred candidate is eliminated or elected with surplus votes, so that their vote is used to elect someone they prefer over others in the running. STV aims to approach proportional representation based on votes cast in the district where it is used, so that each vote is worth about the same as another. Formally, STV satisfies a fairness criterion known as proportionality for solid coalitions.
The electoral threshold, or election threshold, is the minimum share of all the votes cast that a candidate or political party requires to achieve before they become entitled to representation or additional seats in a legislature. This limit can operate in various ways, e.g. in party-list proportional representation systems where an electoral threshold requires that a party must receive a specified minimum percentage of votes, either nationally or in a particular electoral district, to obtain seats in the legislature. In single transferable voting, the election threshold is called the quota and it is possible to pass it by use of first choice votes alone or by a combination of first choice votes and votes transferred from other candidates based on lower preferences. In mixed-member-proportional (MMP) systems the election threshold determines which parties are eligible for top-up seats in the legislative body.
Voting is a method by which a group, such as a meeting or an electorate, convenes together for the purpose of making a collective decision or expressing an opinion usually following discussions, debates or election campaigns. Democracies elect holders of high office by voting. Residents of a jurisdiction represented by an elected official are called "constituents", and the constituents who choose to cast a ballot for their chosen candidate are called "voters." There are different systems for collecting votes, but while many of the systems used in decision-making can also be used as electoral systems, any which cater to proportional representation can only be used in elections.
Block voting, also known as bloc voting, refers to certain electoral systems where multiple candidates are elected simultaneously. They do not guarantee minority representation and allow a group of voters to ensure that only their preferred candidates are elected. In these systems, a voter can select as many candidates as there are open seats. That is, the voter has as many votes to cast as the number of seats to fill. The block voting systems are among various election systems available for use in multi-member districts where the voting system allows for the selection of multiple winners at once.
The Legislative Council of the Hong Kong Special Administrative Region (LegCo) is the unicameral legislature of Hong Kong. It sits under China's "one country, two systems" constitutional arrangement, and is the power centre of Hong Kong's hybrid representative democracy, though popular representation in the legislature has diminished significantly in recent years, along with its political diversity.
The Senate is the upper house of the Cortes Generales, which along with the Congress of Deputies – the lower chamber – comprises the Parliament of the Kingdom of Spain. The Senate meets in the Palace of the Senate in Madrid.
Norway elects its legislature on a national level. The parliament, the Storting, has 169 members elected for a four-year term by a form of proportional representation in multi-seat constituencies.
The House of Representatives was the lower chamber of Fiji's Parliament from 1970 to 2006. It was the more powerful of the two chambers; it alone had the power to initiate legislation. The House of Representatives also had much greater jurisdiction over financial bills; the Senate could not amend them, although it might veto them. Except in the case of amendments to the Constitution, over which a veto of the Senate was absolute, the House of Representatives might override a Senatorial veto by passing the same bill a second time, in the parliamentary session immediately following the one in which it was rejected by the Senate, after a minimum period of six months.
An electoral district, also known as an election district, legislative district, voting district, constituency, riding, ward, division, electorate, or (election) precinct, is a subdivision of a larger state created to provide its population with representation in the larger state's legislative body. That body, or the state's constitution or a body established for that purpose, determines each district's boundaries and whether each will be represented by a single member or multiple members. Generally, only voters (constituents) who reside within the district are permitted to vote in an election held there. District representatives may be elected by a first-past-the-post system, a proportional representative system, or another voting method. They may be selected by a direct election under universal suffrage, an indirect election, or another form of suffrage.
In the political systems of Hong Kong, a functional constituency is a professional or special interest group involved in the electoral process. Eligible voters in a functional constituency may include natural persons as well as other designated legal entities such as organisations and corporations.
There are five types of elections in Slovakia: municipal elections, regional elections, parliamentary elections, presidential elections and elections to the European Parliament. All four types of elections are normally held after fixed periods, although early elections can occur in certain situations. Elections are conventionally scheduled for a Saturday - the polls normally open at 7:00 in the morning and close at 22:00 in the evening. Citizens aged 18 years or older are eligible to vote. Those serving prison sentences for particularly serious crimes, as well as those deprived of legal capacity, including persons with mental disabilities, are denied the right to vote. Voter registration is passive and decentralized with the voter register maintained by municipalities based on the permanent residence register. Voter lists are updated continuously based on municipal records and input provided by state institutions or other municipalities. Voters may verify their data in voter lists, and, if necessary, request correction until the day before election day. On election day, a voter can be added to a voter list upon presenting an identity card with proof of residency. Some 4.4 million voters are registered and valid to vote in the elections. Voters are only able to vote from abroad during the Parliamentary Elections in Slovakia.
Communal constituencies were the most durable feature of the Fijian electoral system. In communal constituencies, electors enrolled as ethnic Fijians, Indo-Fijians, Rotuman Islanders, or General electors vote for a candidate of their own respective ethnic groups, in constituencies that have been reserved by ethnicity. Other methods of choosing parliamentarians came and went, but this feature was a constant until their final abolition in the 2013 Constitution.
Apportionment is the process by which seats in a legislative body are distributed among administrative divisions, such as states or parties, entitled to representation. This page presents the general principles and issues related to apportionment. The page Apportionment by country describes specific practices used around the world. The page Mathematics of apportionment describes mathematical formulations and properties of apportionment rules.
An electorate or electoral district is a geographic constituency used for electing a member (MP) to the New Zealand Parliament. The size of electorates is determined such that all electorates have approximately the same population.
The 2008 Hong Kong Legislative Council election was held on 7 September 2008 for the 4th Legislative Council since the establishment of the Hong Kong Special Administrative Region. There were 60 seats in the 4th Legislative Council, with 30 members elected by geographical constituencies through direct elections, and 30 members by functional constituencies. Candidates for 14 functional constituency seats were unopposed.
Governorate or provincial elections were held in Iraq on 31 January 2009, to replace the local councils in fourteen of the eighteen governorates of Iraq that were elected in the 2005 Iraqi governorate elections. 14,431 candidates, including 3,912 women, contested 440 seats. The candidates came from over 400 parties, 75% of which were newly formed.
The German federal election system regulates the election of the members of the national parliament, called the Bundestag. According to the principles governing the elections laws, set down in Art. 38 of the German Basic Law, elections are to be universal, direct, free, equal, and secret. Furthermore, the German Basic Law stipulates that Bundestag elections are to take place every four years and that one can vote, and be elected, upon reaching the age of 18. All other stipulations for the federal elections are regulated by the Federal Electoral Act. Elections always take place on a Sunday. Mail votes are possible upon application.
An electoral system or voting system is a set of rules that determine how elections and referendums are conducted and how their results are determined. Electoral systems are used in politics to elect governments, while non-political elections may take place in business, non-profit organisations and informal organisations. These rules govern all aspects of the voting process: when elections occur, who is allowed to vote, who can stand as a candidate, how ballots are marked and cast, how the ballots are counted, how votes translate into the election outcome, limits on campaign spending, and other factors that can affect the result. Political electoral systems are defined by constitutions and electoral laws, are typically conducted by election commissions, and can use multiple types of elections for different offices.
Vicente Blanco Gaspar is a Spanish ambassador, diplomat and writer who is an expert in international law, diplomacy and international organizations.