Talk:Participation criterion

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What's the difference between the Participation and Monoticity criteria? Can someone think of an example where all Condorcet methods fail Participation? Why is it named Participation?

It has been proven by Hervé Moulin ("Condorcet's Principle Implies the No Show Paradox", Journal of Economic Theory, vol. 45, no. 1 , pp. 53-64, 1988) that the participation criterion and the Condorcet criterion are incompatible. A summary of his proof is here. Markus Schulze 22:58, 27 January 2006 (UTC)

Thanks! That's a delightfully complicated proof. Paladinwannabe2 20:15, 23 October 2007 (UTC)

[edit] Participation v Monotonicity

The difference between participation and monotonicity is that participation relates to the addition of new ballots. Monotonicity relates to changes to existing ballots.

[edit] Relatively confusing

I've been reading the various pages on voting theory, and I must admit, this particular page (Participation Criteria) seems confusing. Is there any chance that it can be made a little more accessible? Once I understand it better, I will try to offer more concrete suggestions.

Well, the basic idea is that all possible sincere votes that a voter could cast should get a result that is at least as good as the result he gets when he just stays home. KVenzke 15:07, 10 May 2007 (UTC)