I think there is already a main-page article on this subject, but the general idea is that Arrow’s theorem assumes the voting system is preferential (you vote by ranking voters) and so you can get around it with a non-preferential system.
Ah. You mean this posting. It is a good article, and it supports your point about not trusting proofs until you read all of the fine print (with the warning that there is always some fine print that you miss reading).
But it doesn’t really overthrow Arrow. The “workaround” can be “gamed” by the players if they exaggerate the differences between their choices so as to skew the final solution in their own favor.
All deterministic non-dictatorial systems can be gamed to some extent (Gibbard Satterthwaite theorem, I’m reasonably confident that this one doesn’t have a work-around) although range voting is worse than most. That doesn’t change the fact that it is a counter-example to Arrow.
A better one might be approval voting, where you have as many votes as you want but you can’t vote for the same candidate more than once (equivalent to a the degenerate case of ranging where there are only two rankings you can give.
Ah. You mean this posting. It is a good article, and it supports your point about not trusting proofs until you read all of the fine print (with the warning that there is always some fine print that you miss reading).
But it doesn’t really overthrow Arrow. The “workaround” can be “gamed” by the players if they exaggerate the differences between their choices so as to skew the final solution in their own favor.
All deterministic non-dictatorial systems can be gamed to some extent (Gibbard Satterthwaite theorem, I’m reasonably confident that this one doesn’t have a work-around) although range voting is worse than most. That doesn’t change the fact that it is a counter-example to Arrow.
A better one might be approval voting, where you have as many votes as you want but you can’t vote for the same candidate more than once (equivalent to a the degenerate case of ranging where there are only two rankings you can give.
Thanks for the help with the links.