[EM] clone proofing Copeland
Chris Benham
chrisjbenham at optusnet.com.au
Wed Jan 3 23:32:35 PST 2007
Simmons, Forest wrote:
>In view of comments and suggestions from Chris, Warren, Markus, and all (for which I thank you all warmly) I would like to suggest that this attempt at clone proofing Copeland be used in a three slot setting.
>
>I'll restate it for the record:
>
>For each candidate X let p(X) be the probability that a candidate chosen by random ballot(s)* is pairwise defeated by X.
>
>Elect the candidate with the highest value of p(X).
>
>*Note that with three slots you cannot expect a single random ballot to single out a candidate. Further random ballots are usually needed to narrow it down. A Markov process can be used to calculate the probabilities.
>
>Forest
>
34: A>E
33: B>E
33: C>E
How does the "Markov process" work to elect the Condorcet winner E in
this example?
Chris Benham
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