I meant to say that you could use matrices M and PM (not CM) to formulate ICA, in the last paragraph quoted below. Sorry for the confusion. Forest
I suggest that we consider methods that sum two modified pairwise matrices in addition to the basic pairwise matrix: (This description is at the ballot level) In the ordinary pairwise matrix M, the (i,j) entry is a one or a zero depending on whether or not candidate i is ranked ahead of candidate j on the ballot. In the "Pro modification" PM, if candidate i is ranked equal first, then row i is filled in with ones. In the "Con modification" CM, if candidate k is truncated, then column k is filled in with ones. This is Ossipoff's "power truncation" matrix. I'll leave it as an exercise to restate the definition of ICA in terms of M and CM, assuming that "least approved rank" is treated like a candidate.
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