[EM] Monotonic Burial Resistant Method
Kristofer Munsterhjelm
km_elmet at t-online.de
Thu Jul 6 10:45:54 PDT 2023
On 7/6/23 19:33, Forest Simmons wrote:
> This produces the following example:
> 2: A>B>C
> 1: B>C>A (honest is B>A>C)
> 2: C>A>B
>
> It's an A>B>C>A cycle: A has 2 first preferences out of 5, hence >1/3
> first preferences. The probabilities of a ballot having a last
> preference for
> A is 1/5
> B is 2/5
> C is 3/5
>
> Since these events are mutually exclusive, the probabilities should not
> surpass 100 percent.
You're right. I had originally written an example with more voters and I
forgot to update the numerators. The right numbers are:
A: 1/5
B: 2/5
C: 2/5
which can be seen by counting last preference votes.
So the penalties should be:
A: (C's probability): 2/5
B: (A's probability): 1/5
C: (B's probability): 2/5
B>A=C
Does that seem right?
-km
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