Since none of the responses to date refer to your subject (proportional representation) I will provide one. Unfortunately, your link to fairvote.org does not work but your example conveys the concept.
“So lets say that you have a house with 100 members. Instead of one representative for each small district, you create larger districts and put ten representatives in each district. Votes are divided by proportion among candidates on a list. The candidate with the most votes gets a seat. the candidate with the second most votes also gets a seat, and so on until all the seats are filled. This way, minority parties get a say.”
To me the above does not constitute proportional representation. I doubt that increasing the size of a district and the number of associated elected offices will increase the odds of electing a third-party candidate unless each voter is restricted to voting for only one candidate of the ten to be elected. If each voter is allowed to vote for ten candidates then the two major parties will each certify ten candidates. In every state of the U.S. it is easier for a major party to certify a full slate of candidates than it is for a third-party to gain ballot access for just one candidate.
I propose consideration of an alternative implementation based on political party affiliation declared at voter registration. In the example ten representative district assume registration is 40% Democrat, 30% Republican, 10% Independent, 10% Libertarian, and 10% Green parties. Then the allocated elected positions would be 4 Democrat, 3 Republican, 1 Independent, 1 Libertarian and 1 Green. The general election would be open to all registered voters regardless of party affiliation. Voting machines would be menu driven. For each office the voter would select party and then candidate, up to the authorized number of elected positions. One disadvantage of such a system is that currently not all states record party affiliation at voter registration. It is unlikely that such a system would every be implemented except by referendum because the majority party in each state legislature would oppose any threat to the duopoly of political power.
