Proportionality for Solid Coalitions

Proportionality for Solid Coalitions is an election

Election

An election is a formal decision-making process by which a population chooses an individual to hold public office. Elections have been the usual mechanism by which modern representative democracy operates since the 17th century. Elections may fill offices in the legislature, sometimes in the...

methods criterion relating to proportional representation

Proportional representation

Proportional representation is a concept in voting systems used to elect an assembly or council. PR means that the number of seats won by a party or group of candidates is proportionate to the number of votes received. For example, under a PR voting system if 30% of voters support a particular...

systems. This criterion was invented by Michael Dummett

Michael Dummett

Sir Michael Anthony Eardley Dummett FBA D.Litt is a British philosopher. He was, until 1992, Wykeham Professor of Logic at the University of Oxford...

Tideman

Tideman defines this criterion as

This is the property that if there is a set of voters, V, who rank all candidates in some set, S, ahead of all other candidates, then the number of candidates in S who are elected will be at least as great as the proportion of the electorate who are in V multiplied by the number of candidates to be elected, rounded down to an integer (provided that S contains at least that many candidates).

Tideman calls the equivalent criterion, but based on the Droop quota, (k+1)-proportionality for solid coalitions.

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