The 10 largest quota be distributed in descending according to their size on the parties associated with them. The last and smallest maximum number for which a party receives even a seat, specifies the representation value (also weight representation) in their seats. The representative value is the ratio of votes – and the number of seats a party. Party A represents 123 voters with each seat 104, party B 84.5 and party C. Not only absolutely but also in relation to their share of the vote is much better represented as party C party B in the Panel. Using the two stages, the votes of all parties divided by an appropriate (not necessary) integer (divisor) and the results rounded off. The number can be determined by trial and error.
It is at most equal to the maximum number that leads to a mandate as the last. This maximum number is always suitable. Each number to the correct total number of seats leads, is suitable. In the example, the seat allocation by means of Division arises from 84, i.e. for each full 84 votes each party receives a seat.
Error minimization (Minimax criterion) d’Hondt maximizes the minimum (lowest) value of representation (votes per seat). I.e. when the election results, there is no other seat allocation process, where, voices seat the party’s relationship with the lowest votes / seat ratio is higher than votes seat the party’s relationship with the lowest votes / seat ratio according to d’Hondt. Vice versa to the representative value to determine the success value as the ratio of seats per vote for a party (sweeping the value of representation). As a result, d’Hondt minimizes the maximum (highest) success value (seats per voice). The majority condition, but not the minority condition satisfies the majority condition d’Hondt. I.e. a party which unites at least 50% of the popular vote, receives at least 50% of the seats.