Voting machineA voting machine is a machine used to record votes in an election without paper. The first voting machines were mechanical but it is increasingly more common to use electronic voting machines. Traditionally, a voting machine has been defined by its mechanism, and whether the system tallies votes at each voting location, or centrally. Voting machines should not be confused with tabulating machines, which count votes done by paper ballot. Voting machines differ in usability, security, cost, speed, accuracy, and ability of the public to oversee elections.
Hurst exponentThe Hurst exponent is used as a measure of long-term memory of time series. It relates to the autocorrelations of the time series, and the rate at which these decrease as the lag between pairs of values increases. Studies involving the Hurst exponent were originally developed in hydrology for the practical matter of determining optimum dam sizing for the Nile river's volatile rain and drought conditions that had been observed over a long period of time.
Contingent voteThe contingent vote is an electoral system used to elect a single representative in which a candidate requires a majority of votes to win. It is a variation of instant-runoff voting (IRV). Under the contingent vote, the voter ranks the candidates in order of preference, and the first preference votes are counted. If no candidate has a majority (more than half the votes cast), then all but the two leading candidates are eliminated and the votes received by the eliminated candidates are distributed among the two remaining candidates according to voters' preferences.
Later-no-help criterionThe later-no-help criterion is a voting system criterion formulated by Douglas Woodall. The criterion is satisfied if, in any election, a voter giving an additional ranking or positive rating to a less-preferred candidate can not cause a more-preferred candidate to win. Voting systems that fail the later-no-help criterion are vulnerable to the tactical voting strategy called mischief voting, which can deny victory to a sincere Condorcet winner.
Compulsory votingCompulsory voting, also called universal civic duty voting or mandatory voting, is the requirement that registered voters participate in an election. In practice, one only needs to check-in at a polling place, submit a blank ballot, or provide an excused reason, such as disability, illness, age, travel, a natural disaster, or religious objections. 21 countries, including 11 in Latin America, had compulsory voting laws as of January 2023, with the countries enforcing their laws having much higher turnout (high 80's vs.
DiceDice (: die or dice) are small, throwable objects with marked sides that can rest in multiple positions. They are used for generating random values, commonly as part of tabletop games, including dice games, board games, role-playing games, and games of chance. A traditional die is a cube with each of its six faces marked with a different number of dots (pips) from one to six. When thrown or rolled, the die comes to rest showing a random integer from one to six on its upper surface, with each value being equally likely.
Consistency criterionA voting system is consistent if, whenever the electorate is divided (arbitrarily) into several parts and elections in those parts garner the same result, then an election of the entire electorate also garners that result. Smith calls this property separability and Woodall calls it convexity. It has been proven a ranked voting system is "consistent if and only if it is a scoring function", i.e. a positional voting system. Borda count is an example of this. The failure of the consistency criterion can be seen as an example of Simpson's paradox.
Voter registrationIn electoral systems, voter registration (or enrollment) is the requirement that a person otherwise eligible to vote must register (or enroll) on an electoral roll, which is usually a prerequisite for being entitled or permitted to vote. The rules governing registration vary between jurisdictions. In many jurisdictions, registration is an automatic process performed by extracting the names of voting age residents of a precinct from a general-use population registry ahead of election day, while in others, registration may require an application being made by an eligible voter and registered persons to re-register or update registration details when they change residence or other relevant information changes.
Majoritarian representationA majoritarian electoral system is an electoral system where the candidate with the most votes takes the seat using the winner-takes-all principle and in this way provides majoritarian representation. However, there are many electoral systems considered majoritarian based on different definitions, including types of at-large majoritarian representation such as block voting or party block voting (general ticket), but district-based majoritarian systems such as first-past-the-post voting (FPTP/SMP).
Smith setIn voting systems, the Smith set, named after John H. Smith, but also known as the top cycle, or as Generalized Top-Choice Assumption (GETCHA), is the smallest non-empty set of candidates in a particular election such that each member defeats every candidate outside the set in a pairwise election. The Smith set provides one standard of optimal choice for an election outcome. Voting systems that always elect a candidate from the Smith set pass the Smith criterion and are said to be 'Smith-efficient' or to satisfy the Smith criterion.
