Rob Richie, after Doug Greene pointed out to him on the election law blog our criticism of his contrived pro-IRV/anti-competitors argument, responded as follows on that blog (verbatim, in full):
Very lame, Doug.
What you and the range voting crew are missing is that [my] three criteria are spot-on for gauging the political viability of your proposed systems, whether the oddly quoted person thinks they are legitimate "social choice theory" standards or not.
To provide a brief response: There are reasons that the social choice theory community focuses more on certain criteria than others for the purpose of comparing voting systems. (We find it rather odd how Richie in his essay cites, e.g. Tideman's book in an effort to "ground" himself in "scholarship," yet fails to appreciate the most important theme in that book, does not mention the criteria in that book, and invents his own criteria.) Preferred are criteria which:
As examples of widely-accepted such criteria, we mention:
Does the system meet the common sense principle of rewards for sincere voting? A voter should not likely be punished for voting sincerely under the system's rules.And FBC indeed discriminates quite nicely among seriously proposed systems, since, e.g. IRV, Borda, Plurality, and all Condorcet systems fail it, whereas Range Voting and AntiPlurality obey it.
Of the voting systems mentioned so far, range voting is the only one which meets all four (or even merely the last two) of these criteria. That is not a coincidence. We have proven the theorem that no voting system based on rank-order ballots – and this includes the infinite number of systems nobody has ever invented yet – can satisfy the above conditions. Range voting is thus provably better than every rank-order ballot voting system, in some senses that social choice theorists have long-agreed to be important.
In contrast, of Richie's three criteria, the first two were non-discriminatory since, effectively, every voting system ever seriously proposed obeys them both. (Richie carefully worded them to try to argue that Approval, Range, and Condorcet failed them while IRV obeyed them, but this was not a realistic measure of anything, but rather an exercise in carefully contrived wording; and even as such Richie failed since we showed IRV in fact fails his criterion 1 by a factor of 100 more than Approval voting fails it, and IRV fails his criterion 2 if its threshold is not "one" vote but rather "two" votes.) And his third was not mathematically defined. That is why social choice theorists would not be interested in Richie's three criteria.
But as an exercise in deceptive and misleading – yet clear sounding – writing, we can only express admiration for Richie's essay.
Here is another criticism of Richie's essay, by A.Lomax.
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