[Election-Methods] Challenge: Elect the compromise when there're only 2 factions

Diego Renato diego.renato at gmail.com
Wed Aug 22 05:28:24 PDT 2007


2007/8/22, Jobst Heitzig <heitzig-j at web.de>:
>
> A common situation: 2 factions & 1 good compromise.
>
> The goal: Make sure the compromise wins.
>
> The problem: One of the 2 factions has a majority.
>
> A concrete example: true ratings are
>    55 voters: A 100, C 80, B 0
>    45 voters: B 100, C 80, A 0
>
> THE CHALLENGE: FIND A METHOD THAT WILL ELECT THE COMPROMISE (C)!
>
> The fine-print: voters are selfish and will vote strategically...
>
> Good luck & have fun :-)
>
>
Since A has a majority, no method is guaranteed to elect C. If both A and B
voters are not sure which faction is larger, it is possible vote for their
preferred candidate and C under approval voting, or put C highly rated under
range voting, and C be elected.

________________________________
Diego Santos
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