Re-Running Elections

Two high court judges have ordered the re-running of this year's General Election in Greater Manchester, after finding Phil Woolas guilty of making false claims about his rival. Not as bad as in the States though, where the recent elections saw FOUR deceased candidates win (via Thom Brooks). If we had an electoral system that produced a rank ordering over candidates, that was independent of irrelevant alternatives (as Arrow suggests), then this wouldn't be a problem. As it is, the system merely picks a 'top choice' and will need to be re-run...