[EM] P&P say there's only 1 preference profile. You don't say that.

Markus Schulze markus.schulze at alumni.tu-berlin.de
Thu Jan 31 02:48:55 PST 2002

Dear Mike,

you wrote (30 Jan 2002):
> Plurality, Approval, RB, & RC pass Regularity so defined. CR
> fails, because the criterion only talks about order.

Due to Pattanaik and Peleg, the input of a decision scheme is
a set of linear orders. So when you define plurality on lone-mark
ballots then plurality isn't even a decision scheme. And when you
define plurality on ranked ballots then plurality clearly fails


You wrote (30 Jan 2002):
> Maybe they meant: Deleting a loser from the election's ballots
> and then recounting those ballots should never decrease the
> win-probability of an undeleted candidate. That sounds like
> the probabilistic version of my IIAC.

Pattanaik and Peleg talk about _adding_ candidates and not about
_deleting_ candidates.

Markus Schulze

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