Juho wrote:

My sympathies towards minmax(margins) come primarily from the way it handles sincere votes.

I reply:

But there won’t be sincere votes for it to handle, to the extent that it doesn’t allow sincere votes. That’s why the defensive strategy criteria, and the wv Condorcet methods were proposed.

Juho continues:

…Elect the candidate that would beat all the others. If there is no such candidate, elect the one that would need least additional votes to beat the others.

I reply:

That sounds similar to Dodgson. If it’s Dodgson, or like Dodgson, it is vulnerable to clones, and it doesn’t meet the defensive strategy criteria.

Juho continues:

I also find the path based explanations a bit clumsy

I reply:

Yes, I don’t use path-based explanations or justifications. Though BeatpathWinner is equivalent to Cloneproof SSD, I prefer to offer Cloneproof SSD defined by its own procedure rather than by BeatpathWinner’s procedure. In public elections, with no pair-wise ties, SSD is equivalent to CSSD and BeatpathWinner. I offer SSD because it has a more natural and obvious procedure than CSSD or BeatpathWinner.

Juho continues:

…better than just saying that there was a cycle (people don't understand what that is)

I reply:

One thing I and others like about SSD is that it makes no mention of cycles.

I agree with Juho that when Plain Condorcet elects a Condorcet Loser, it is a peculiarly popular Condorcet Loser, and not as bad an outcome as some might claim. I don’t object to Plain Condorcet, though I’d like to have all four of the majority defensive strategy criteria, which PC doesn’t offer. As I was saying, “Minmax isn’t a good method name, because it’s used with more than one meaning.


Juho continues:

Let's cover also the strategy related aspects.

I reply:

With most Condorcet versions other than wv (and this is probably true of PC(margins) ), Some voters who truncate the CW, whether due to carelessness, laziness, lack of time, or strategic motives, can steal the election. That truncation, in such method, can be used as an offensive strategy. But, whether or not it’s offensively strategically intended, it causes a defensive strategy need that doesn’t exist in wv. The defensive strategy criteria and wv Condorcet were proposed for a reason.

Juho continued:

I also don't like discussions on counter strategies in association with Condorcet. One of the key benefits of Condorcet methods is that people can give their sincere opinions.

I reply:

That’s much more true of wv Condorcet.

Juho continues:

If we go for (counter) strategic votes in Concorcet methods, large part of their benefits are lost. In summary it would be good to use Condorcet methods in environments where their natural strategy resistance gives good enough protection and everyone can trust that the elections will not lead to anything catastrophic (some small number of "uneducated" strategic votes will probably always be present, but hopefully not leading to problems).

I reply:

I agree that the advantage of Condorcet, possessed by its wv versions, is that counterstrategy would rarely be needed. And, if there’s a danger of offensive order-reversal, it’s countered and deterred by mere defensive truncation.

I suggest ARLO and power truncation for if, some time after Condorcet is adopted, there begins to be concern about offensive order-reversal strategy. I don’t suggest ARLO and power truncation for a first Condorcet proposal. And they’d probably never be needed.

Juho continues:

My explanations are leaning in the direction that all Condorcet methods are quite strategy resistant

I reply:

They’re not equally strategy resistant. The wv Condorcet versions are much more free of strategy-need, and much more resistant to offensive strategies (for instance, offensive truncation isn’t a problem in wv Condorcet).

Juho continues:

…Therefore it may be a good idea to pick a Condorcet method that has good performance with sincere votes.

I reply:

But you’ve got to get the sincere votes, and wv encourages sincere votes better than other Condorcet versions do.

Juho continues:

The criteria also would force me to discuss the difficulty of implementing the strategies, the probability of success, the probability of certain vulnerabilities to appear in real elections etc.

I reply:

Criteria don’t force you to do that. They tell, in brief and simple language, what will never happen, or what will always happen, with a method. They speak only of kinds of outcomes having a probability of zero or unity.

Mike Ossipoff


----
election-methods mailing list - see http://electorama.com/em for list info

Reply via email to