- A candidate who is an FPTP majority winner will likewise win in Ranked-pairs (and will be in fact the Condorcet winner), as well as by IRV.
A candidate who wins by FPTP on a non-majority basis, might or might-not win by other methods, which will be determined based on considering, in addition, some subset of additional, non-first-preference, ballot choices.
- For Ranked Pairs this involves evaluating all preference information holistically,
- For IRV all-preferences will not be used – next-preferences apply only when a ballot for an eliminated candidate is re-allocated, and a given next-preference is used then only if that candidate has not already been eliminated.
This means, for example that:
- A Condorcet loser, i.e. a candidate who loses every one-to-one matchup against all other candidates, who will therefore lose by Ranked-Pairs, can win by FPTP on a plurality basis, or even by IRV; and
- A Condorcet winner, i.e. a candidate who wins a majority in each one-to-one matchup against all other candidates, and who would therefore win by Ranked Pairs, can lose, and in fact come in dead-last, by FPTP or IRV.
Next: Rejected Ballots