Participation criterionThe participation criterion is a voting system criterion. Voting systems that fail the participation criterion are said to exhibit the no show paradox and allow a particularly unusual strategy of tactical voting: abstaining from an election can help a voter's preferred choice win. The criterion has been defined as follows: In a deterministic framework, the participation criterion says that the addition of a ballot, where candidate A is strictly preferred to candidate B, to an existing tally of votes should not change the winner from candidate A to candidate B.
Smith criterionThe Smith criterion (sometimes generalized Condorcet criterion, but this can have other meanings) is a voting systems criterion defined such that it's satisfied when a voting system always elects a candidate that is in the Smith set, which is the smallest non-empty subset of the candidates such that every candidate in the subset is majority-preferred over every candidate not in the subset. (A candidate X is said to be majority-preferred over another candidate Y if, in a one-on-one competition between X & Y, the number of voters who prefer X over Y exceeds the number of voters who prefer Y over X.
Minimax Condorcet methodIn voting systems, the Minimax Condorcet method (often referred to as "the Minimax method") is one of several Condorcet methods used for tabulating votes and determining a winner when using ranked voting in a single-winner election. It is sometimes referred to as the Simpson–Kramer method, and the successive reversal method. Minimax selects as the winner the candidate whose greatest pairwise defeat is smaller than the greatest pairwise defeat of any other candidate: or, put another way, "the only candidate whose support never drops below [N] percent" in any pairwise contest, with N as high as possible.
Vote utileLe vote utile est le fait de voter pour un candidat ayant supposément plus de chances d'être élu plutôt que pour celui que l'on préfère. Ce phénomène aurait pour effet d'empêcher un candidat tiers de remporter l'élection. C'est un type de vote stratégique. Le vote utile consiste à renoncer à son vote de cœur pour préférer un candidat qui paraît à la fois plus susceptible de gagner et le moins éloigné de ses préférences politiques.
Nanson's methodThe Borda count electoral system can be combined with an instant-runoff procedure to create hybrid election methods that are called Nanson method and Baldwin method (also called Total Vote Runoff or TVR). Both methods are designed to satisfy the Condorcet criterion, and allow for incomplete ballots and equal rankings. The Nanson method is based on the original work of the mathematician Edward J. Nanson in 1882.
Jugement majoritaireLe jugement majoritaire est un mode de scrutin inventé par deux chercheurs français du Centre national de la recherche scientifique (CNRS), Michel Balinski et Rida Laraki. Il repose sur une théorie mathématique publiée en 2007 dans les Proceedings of the National Academy of Sciences et développée dans un livre paru chez MIT Press en 2011. Le jugement majoritaire est une des méthodes de vote permettant de contourner le résultat du théorème d'impossibilité d'Arrow (1951) en théorie du choix social.