We conducted an experiment to try out the voting system that I've proposed here: http://cuff-family.blogspot.com/2007/08/new-voting-system.html. The main idea is to only compare candidates pairwise, so that third parties won't cause any splitting of votes. Each voter listed all of the candidates that they cared for in their order of preference.
This vote was conducted among a small group of people with similar opinions/values, so it's not necessarily representative of the population. It's not surprising, for example, that Romney beat everyone unanimously. Also, unfortunately, only five people participated in the vote. However, the voting did yield an unambiguous full ordering of preferences among the candidates, which is fortunate and not always the case. The list is below.
Let me also mention that Richardson fared poorly because three voters did not include him in their list. The list of candidates that I suggested at the beginning was incomplete, and I apologize for that.
Order of preference among presidential candidates:
Romney
Thompson
Hunter
Giuliani
McCain
Obama
Paul
Huckabee
Clinton
Edwards
Richardson
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