[EM] Majority winner set
Bart Ingles
bartman at netgate.net
Sat Nov 25 21:53:34 PST 2000
Markus Schulze wrote:
>
> FPP violates Condorcet and beat path GMC.
>
> Example:
>
> 40 voters vote A > B > C.
> 35 voters vote B > C > A.
> 25 voters vote C > B > A.
>
> Due to the Condorcet criterion, candidate B must be
> elected. Due to beat path GMC, candidate B must be
> elected. But the FPP winner is candidate A.
>
> In the example above, I didn't make any presumptions
> about whether the voters vote sincerely or strategically.
> In the example above, I didn't make any presumptions
> about the sincere opinions of the voters. Did I?
Uh, yes, you presume the voters will vote sincerely in FPP, in order for
A to win.
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