|
Extended Justified Representation
Justified representation (JR) is a criterion for evaluating the fairness of electoral systems in multiwinner voting, particularly in multiwinner approval voting. It can be seen as an adaptation of the proportional representation criterion to approval voting. Definitions One definition for "proportional representation" is that the candidates are partitioned into disjoint parties, and each voter approves all candidates in a single party. For example, suppose we need to elect a committee of size 10. Suppose that exactly 50% of the voters approve all candidates in party A, exactly 30% approve all candidates in party B, and exactly 20% approve all candidates in party C. Then, proportional representation requires that the committee contains exactly 5 candidates from party A, exactly 3 candidates from party B, and exactly 2 candidates from party C. If the fractions are not exact, then some rounding method should be used, and this can be done by various apportionment methods. However, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Electoral System
An electoral system or voting system is a set of rules that determine how elections and Referendum, 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, Nonprofit organization, non-profit organisations and informal organisations. These rules govern all aspects of the voting process: when elections occur, suffrage, who is allowed to vote, who can stand as a candidate, voting method, how ballots are marked and cast, how the ballots are counted, how votes translate into the election outcome, limits on campaign finance, 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. Some electoral systems elect a single winner to a unique position, such as prime ministe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Multiwinner Voting
Multiwinner voting, also called multiple-winner elections or committee voting or committee elections, is an electoral system in which multiple candidates are elected. The number of elected candidates is usually fixed in advance. For example, it can be the number of seats in a country's parliament, or the required number of members in a committee. There are many scenarios in which multiwinner voting is useful. They can be broadly classified into three classes, based on the main objective in electing the committee: # Excellence. Here, each voter is an expert, and each vote expresses his/her opinion about which candidate/s is "better" for a certain task. The goal is to find the "best" candidates. An example application is shortlisting: selecting, from a list of candidate employees, a small set of finalists, who will proceed to the final stage of evaluation (e.g. using an interview). Here, each candidate is evaluated independently of the other candidates. If two candidates are simila ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Multiwinner Approval Voting
Multiwinner approval voting, also called approval-based committee voting, is a multi-winner electoral system that uses approval ballots. Each voter may select ("approve") any number of candidates, and multiple candidates are elected. The number of elected candidates is usually fixed in advance. For example, it can be the number of seats in a country's parliament, or the required number of members in a committee. Multiwinner approval voting is an adaptation of approval voting to multiwinner elections. In a single-winner approval voting system, it is easy to determine the winner: it is the candidate approved by the largest number of voters. In multiwinner approval voting, there are many different ways to decide which candidates will be elected. Majoritarian approval voting Versions Block approval voting (unlimited voting) The straightforward extension of approval balloting to multi-winner elections is called block approval voting and is a type of multiple non-transferable ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proportional Representation
Proportional representation (PR) refers to a type of electoral system under which subgroups of an electorate are reflected proportionately in the elected body. The concept applies mainly to geographical (e.g. states, regions) and political divisions (political parties) of the electorate. The essence of such systems is that all votes cast - or almost all votes cast - contribute to the result and are actually used to help elect someone—not just a plurality, or a bare majority—and that the system produces mixed, balanced representation reflecting how votes are cast. "Proportional" electoral systems mean proportional to ''vote share'' and ''not'' proportional to population size. For example, the US House of Representatives has 435 districts which are drawn so roughly equal or "proportional" numbers of people live within each district, yet members of the House are elected in first-past-the-post elections: first-past-the-post is ''not'' proportional by vote share. The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Apportionment (politics)
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. The simplest and most universal principle is that elections should give each voter's intentions equal weight. This is both intuitive and stated in laws such as the Fourteenth Amendment to the United States Constitution (the Equal Protection Clause). However, there are a variety of historical and technical reasons why this principle is not followed absolutely or, in some cases, as a first priority. Common problems Fundamentally, the representation of a population in the thousands or millions by a reasonable size, thus accountable govern ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hare Quota
The Hare quota (also known as the simple quota) is a formula used under some forms of proportional representation. In these voting systems the quota is the number of votes that guarantees a candidate, or a party in some cases, captures a seat. The Hare quota is the total number of votes divided by the number of seats to be filled. This is the simplest quota, but the Droop quota is mostly used currently. The Hare quota can be used in the single transferable vote (STV-Hare) system and the largest remainder method (LR-Hare) and other quota rule compatible methods of party-list proportional representation. Both versions are named after the political scientist Thomas Hare, but the largest remainder method in which it is used is also sometimes called the Hare–Niemeyer method (after Horst Niemeyer) or the Hamilton method (after Alexander Hamilton). Formula The Hare quota may be given as: :\frac where *Total votes = the total valid poll; that is, the number of valid (unspoilt) vo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edith Elkind
Edith Elkind is an Estonian computer scientist who works as a professor of computing science at the University of Oxford and as a non-tutorial fellow of Balliol College, Oxford. She is known for her work in algorithmic game theory and computational social choice. Education and career As a high school student, Elkind competed for the Estonian team in the International Mathematical Olympiads in 1992 and 1993. She earned a master's degree at Moscow State University in 1998, and completed her Ph.D. in 2005 from Princeton University. Her dissertation, ''Computational Issues in Optimal Auction Design'', was supervised by Amit Sahai. After completing her Ph.D., she was a postdoctoral researcher at the University of Warwick, the University of Liverpool, and the Hebrew University of Jerusalem. She became a lecturer at the University of Southampton and an assistant professor at Nanyang Technological University The Nanyang Technological University (NTU) is a national research univers ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Toby Walsh
Toby Walsh is Chief Scientist at UNSW.ai, the AI Institute of UNSW Sydney. He is a Australian Laureate Fellowship, Laureate fellow, and professor of artificial intelligence in the UNSW School of Computer Science and Engineering at the University of New South Wales and Data61 (formerly NICTA). He has served as Scientific Director of NICTA, Australia's centre of excellence for ICT research. He is noted for his work in artificial intelligence, especially in the areas of Social choice theory, social choice, constraint programming and propositional satisfiability. He has served on the Executive Council of the Association for the Advancement of Artificial Intelligence. He received an Master of Arts, M.A. degree in theoretical physics and mathematics from the University of Cambridge and a M.Sc. and Ph.D. degree in artificial intelligence from the University of Edinburgh. He has held research positions in Australia, England, Ireland, Italy, France, Germany, Scotland, and Sweden. He has ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Piotr Skowron
Piotr Skowron is an assistant professor at the University of Warsaw. He is known for his research in artificial intelligence (AI) and theoretical computer science, especially for his work on social choice theory, social choice, and Multiwinner voting, committee elections. Biography Piotr Skowron received his Ph.D. in computer science from the University of Warsaw in 2015. His doctoral dissertation won the runner-up for IFAAMAS Victor Lesser Distinguished Dissertation Award for the best dissertation in the area of autonomous agents and multi-agent systems. Subsequently, he was a postdoctoral researcher at the University of Oxford (2016), and at the Technical University of Berlin (2017), where he was supported by the Alexander von Humboldt Foundation. In 2018, he joined the Faculty of Mathematics, Informatics and Mechanics at University of Warsaw as a faculty member. Research and awards In 2022, Piotr Skowron won the IJCAI Computers and Thought Award, given yearly since 1971 to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proportional Approval Voting
Proportional approval voting (PAV) is a proportional electoral system for selecting committees. It is an extension of the D'Hondt method of apportionment that additionally allows for personal votes (voters vote for candidates, not for a party list). The voters vote via approval ballots where each voter marks those candidates that the voter finds acceptable. History The system was first proposed by Thorvald N. Thiele. It was used in combination with ranked voting in the early 20th century in Sweden, for example between 1909 and 1921 for distributing seats within parties, and in local elections. After 1921 it was replaced by Phragmén's rules. PAV was rediscovered by Forest Simmons in 2001 who gave it the name "proportional approval voting". Definition PAV selects a committee of a fixed desired size with the highest score, where scores are calculated according to the following formula. Given a committee W, for each voter we check how many candidates in the committee the voter ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sequential Proportional Approval Voting
Sequential proportional approval voting (SPAV) or reweighted approval voting (RAV) is an electoral system that extends the concept of approval voting to a multiple winner election. It is a simplified version of proportional approval voting. Proposed by Danish statistician Thorvald N. Thiele in the early 1900s, it was used (with adaptations for party lists) in Sweden for a short period from 1909-1921, and was replaced by a cruder "party-list" style system as it was easier to calculate. Description Sequential Proportional Approval Voting (SPAV) uses Approval Voting ballots to elect multiple winners equitably by selecting a candidate in each round and then reweighing the approvals for the subsequent rounds. Each ballot is assigned a value equal to the reciprocal of one more than the number of candidates approved on that ballot who have been designated as elected. Each ballot is counted at its current value as a vote for all continuing candidates approved on that ballot. The candid ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Method Of Equal Shares
The Method of Equal Shares (in early papers the method has been also referred to as Rule X, but since 2022 the authors started using the name "method of equal shares") is a proportional method of counting ballots that applies to participatory budgeting to committee elections and to simultaneous public decisions. It can be used, when the voters vote via approval ballots, ranked ballots or cardinal ballots. If each voter has equal entitlement and each voter submits approval preferences, the Method of Equal Shares is a specific rule in a more general class of rules called PB-EAR that was designed earlier in 2019 by Aziz and Lee for ordinal preferences (that include approval ballots). Motivation The method is an alternative to the knapsack algorithm which is used by most cities even though it is a disproportional method. For example, if 51% of the population support 10 red projects and 49% support 10 blue projects, and the money suffices only for 10 projects, the knapsack budge ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
