[EM] Which method isn't "vulnerable to compromise"?
Markus Schulze
markus.schulze at alumni.tu-berlin.de
Sun Apr 11 03:14:06 PDT 2004
Dear Mike,
please remember that already in my 8 Sep 2003 mail I told you
that at least every single-winner election method that satisfies
the majority criterion is vulnerable to compromising. I wrote
(8 Sep 2003):
> Actually, it can be shown that at least every
> election method that satisfies the majority
> criterion encourages voters to compromise.
>
> Example:
>
> 40 A > B > C.
> 35 B > C > A.
> 25 C > A > B.
>
> Suppose that the used election method meets the majority
> criterion.
>
> Suppose that A wins the elections. Then the 35 BCA
> voters can change the winner from A to C by voting CBA
> (i.e. by "compromising").
>
> Suppose that B wins the elections. Then the 25 CAB
> voters can change the winner from B to A by voting ACB
> (i.e. by "compromising").
>
> Suppose that C wins the elections. Then the 40 ABC
> voters can change the winner from C to B by voting BAC
> (i.e. by "compromising").
Markus Schulze
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