Some of it is easily understandable, but I did have to re-read some parts a couple of times, and some of it remains unclear. A few tweaks would remedy most of that, mainly by adding some commas or re-arranging a bit of the text.
Single Transferable Vote (STV) is a preferential (rather than voting for a single candidate, voters rank candidates in order of preference) election method designed to achieve proportionality and to minimized wasted votes while preserving the ability to vote for individual candidates.
This first sentence is just a bit awkward to read - the included statement in parenthesis is important, but serves as a mental interruption. You might simply re-arrange it something like this:
Single Transferable Vote (STV) is a preferential voting system wherein voters rank candidates in order of preference. rather than voting for a single candidate. This election method is designed to ascertain proportionality and to minimize wasted votes, while preserving the ability to vote for individual candidates.This modified STV mirrors standard STV on all accounts except the manner in which candidates are eliminated when necessary. Rather than removing the candidate with the least number of votes the Condorcet loser, that candidate who is least preferred compared to all other candidates, is instead removed.
This is one that I had to re-read twice to understand it well. It only needs a slight tweaking for better readability, such as:
Rather than removing the candidate with the least number of votes, in the Condorcet version, the candidate who is least preferred compared to all other candidates is instead removed.In IRV, candidates are ranked in order of preference, and then the votes for the most preferred candidate on each ballot is tallied. If no candidate holds a majority of votes, the candidate with the lowest number of votes is eliminated and their votes are then transferred to the next ranked candidate on the ballots cast for that candidate. This process is repeated recursively until a single candidate obtains a majority of votes.
This part confused me. To someone like myself who is not familiar with IRV, it sounds as though when a candidate is removed, all votes that had been cast for him are then transfered to some other candidate, but I'm unclear on "next ranked candidate on the ballots cast for that candidate". Who are they being transfered to?
Condorcet voting on the other hand by definition finds and selects as the election's winner the Condorcet winner.
This sentence is awkward as well. Are you saying that the winner of Condorcet voting is the election's winner? That sounds redundant, unless it was meant to make some other point.
IRV however does not satisfy the Condorcet criterion, that is to say that it does not necessarily elect the Condorcet winner, the single candidate who is genuinely overall preferred compared to every other candidate. Condorcet voting on the other hand by definition finds and selects as the election's winner the Condorcet winner. In Condorcet voting, candidates are also ranked. But instead of progressively eliminating candidates and transferring votes, each candidate is instead faced off against every other candidate in a series of pairwise contests, each candidate receiving a vote in each such contest for every ballot casted in which they are ranked higher than their opponent and vice versa. The candidate who wins all of these pairwise contests by a majority of votes in each is the Condorcet winner. The candidate meanwhile who looses all of these pairwise contests is the Condorcet looser.
This is the idea I get from the above, but I'm not certain that it's correct. It is similar to a point system. Each candidate is compared to each of the other candidates in pairs, and the one who has received a higher preferential rating in each pair gets one point. Those points are then compared to determine the candidate to be removed by the lowest number of points received. Your use of the term 'vote' where I used the word 'point' is what makes me unsure. It could be that this means instead that an additional vote is added the base votes for each candidate for each pairing that he or she wins.
The candidate meanwhile who looses all of these pairwise contests is the Condorcet looser.
I don't know how picky your teacher is, but if he or she demands absolute precision, then:
The candidate, meanwhile, who loses the highest amount of these pairwise contests is the Condorcet loser.Because technically that statement as its written implies that there is only a Condorcet loser if one candidate has lost ALL of the pairings, as opposed to lost more of them than the other candidates.
That's as far as time allows me to read through this paper. I apologize if that's far too indepth a critique for what you wanted. I tend to put on my 'editor hat' when I'm doing this sort of thing.