The Bucklin voting system
References
edithttp://mnvoters.org/images/BrownVsmallwood.pdf
http://publications.ohiohistory.org/ohstemplate.cfm?action=detail&Page=01117.html&StartPage=7&EndPage=&volume=111¬es=&newtitle=Volume%20111%20Page%207 Cleveland Bucklin election, 1915, no majority.
http://publications.ohiohistory.org/ohstemplate.cfm?action=detail&Page=01117.html&StartPage=7&EndPage=&volume=111¬es=&newtitle=Volume%20111%20Page%207 library reference with bibliography on preferential voting.
http://books.google.com/books?id=RmYAAAAAYAAJ&pg=PA36&lpg=PA36&dq=grand+junction+bucklin&source=bl&ots=8QGKZ5Sjmq&sig=ZNUgHYDIDJyYCQ6zlwJVyYxxJ5c&hl=en&sa=X&oi=book_result&resnum=5&ct=result#v=onepage&q=grand%20junction%20bucklin&f=false includes original Grand Junction results. Shows multiple majority in one election.
http://groups.yahoo.com/group/RangeVoting/message/13030 My post with many links to Bucklin history.
http://groups.yahoo.com/group/RangeVoting/message/13031 More. I was incorrect in comments about the Seattle system. It was Bucklin, with unlimited ranking (ranks were written in as numbers). Presumably ranks could be left blank. This was June 1914 issue of magazine, charter amendment rejected 1916? Provided for fractional treatment of lower ranked votes: Rank N valued at 1/N vote. Range voting!