[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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