On Dec 4, 2009, at 6:48 PM, Raph Frank wrote:

For example, if there was a tie

A>B>C>A

and only B and C were found, the B wins.

Yes. There are also voters/parties that support alternative A more than B. They have an interest to find the A solution.

Hopefully already the official process will find A with high probability (the conditions and preference rules should be simple enough to allow this) and the private calculations would be done just to double check, to see that there is no fraud and to check that the official process is efficient and correct.

(And of course in simple enough elections we can use algorithms that will find the optimal solution with certainty.)

I think it might have some strategy problems.

Maybe inherited from the ratings side?? What would that be?

Not 100% sure :), it might be OK since condorcet is used.

The last phase was Condorcet based and in principle voters could even give directly ratings to each winner combination. The method should from this point of view be as strategy free as Condorcet methods are. The summing procedure (=combination preferences counted from individual candidate preferences) could introduce some more details to this but so far I'm not aware of anything interesting.

If a majority really hate an option, then all wining sets with that
option will have a really low rating.

Yes, as in Condorcet really bad alternatives will be eliminated with very high probability even in the presence of strategies. (maybe one can say "with certainty" if there are no strategies)

Juho





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