• THERE ARE THREE MAIN CHARACTERISTICS OF ANY ELECTORAL SYSTEM THAT DETERMINE HOW IT WORKS: District Magnitude Ballot Structure Electoral Formula • this refers to the number of representatives elected from the district or riding. These could be single member ridings or multi-member ridings. • this refers to the number of voting preferences given a voter on a ballot for them to mark. The range of choices includes a single choice for a party or candidate; a multiple preference between parties and candidates; and weighting preferences between candidates by rank-ordering them. • this refers to the method by which votes are turned into seats, given the district magnitude and ballot structure being used. It could include thresholds stipulating the percentage of votes necessary to get elected. • elections are regular and fair • votes are of equal value • the will of the majority is achieved • the interests of minorities are taken into consideration • there is a high level of participation by the electorate • there is the maximum possible franchise • voting is accessible Some electoral systems elect a single winner to a unique position, such as prime minister, president or governor, while others elect multiple winners, such as members of parliament or boards of directors. There are many variations in electoral systems, but the most common systems are first-past-the-post voting, the two-round (runoff) system, proportional representation and ranked voting. Some electoral systems, such as mixed systems, attempt to combine the benefits of non-proportional and proportional systems. • The study of formally defined electoral methods is called social choice theory or voting theory, and this study can take place within the field of political science, economics, or mathematics, and specifically within the subfields of game theory and mechanism design. Impossibility proofs such as Arrow's impossibility theorem demonstrate that when voters have three or more alternatives, it is not possible to design a ranked voting electoral system that reflects the preferences of individuals in a global preference of the community, present in countries with proportional representation and plurality voting. Ronald Rogowski (1987) "Trade and the Variety of Democratic Institutions", International Organization Vol. 41, pp203–24 Carles Boix (1999) "Setting the Rules of the Game:The Choice of Electoral Systems in Advanced Democracies",American Political Science Review Vol. 93 (3), pp609–24 One or more of the preceding sentences incorporates text from a publication now in the public domain: Chisholm, Hugh, ed. (1911). "Vote and Voting". Encyclopædia Britannica. 28 (11th ed.). Cambridge University Press. p. 216.