[EM] Expressing pairwise preferences

Dave Ketchum davek at clarityconnect.com
Sat Aug 13 10:46:38 PDT 2005


Thanks to Juho for discussing some details.

While there have to be voters who would be tempted by each, if available, 
they share a serious problem, and I will comment on each below.  They 
complicate the rules:
      Voters must understand what is permitted, and what each facility means.
      Vote counters must have the same, unambiguous, understanding of the 
meaning of each.

On Sat, 13 Aug 2005 12:52:32 +0300 Juho Laatu wrote:

> Hello Dave et al,
> 
> On Aug 13, 2005, at 06:16, Dave Ketchum wrote:
> 
>> I __do__ get to express my n x (n-1) / 2 pairwise preferences (part or 
>> all, as I as a voter choose).  I just am forced to be consistent.  If 
>> I vote A>B and B>Z, then I have voted A>Z.  If there is a C for which 
>> I have given no explicit specification, then my above partial vote 
>> implies A>C, B>C, and Z>C.
> 

I would add to the above ability to vote A=D.  Relative to other 
candidates it has the same meaning as voting the pair A>D or D>A.  In 
counting, two voters voting A=D has the same effect as one voting A>D and 
one D>A - matters in wv; does not matter in margins.

> 
> Few observations about the ability to express the n x (n-1) / 2 preferences:
> 
> 1) It would be quite easy to remove the rule of considering unranked 
> candidates to be ranked last. This could of course lead to unwanted 
> results like the most unknown and uninteresting candidate winning the 
> election. For this reason it is good that by default unranked(/unknown) 
> candidates are considered to be less preferred than the ranked ones. In 
> principle it would be ok to allow those voters that know what they are 
> doing to express their opinions also more widely, e.g. a>b>c[cut] (which 
> means that unlisted candidates are not ranked last) or


How else would you count an unranked candidate?

> 2) a>b>others>c. 
> The latter option introduces the risk of people ranking widely the 
> strongest competitors of their favourite candidate last, even though 
> that normally doesn't do them much good (would e.g. lead to election of 
> some unknown candidate in the case of three major candidates).


This reads as doable - is it desirable enough to be worth the effort?  I 
dislike it, liking better leaving at the bottom all those not worth 
mentioning (those worth mentioning as better than C are already votable as 
such).

> 
> 3) It would be also possible to allow circular rankings like a>b>c>a 
> (mentioning "a" twice means that the intention is to describe a loop). 
> Consistent voters do not normally have such looped opinions I guess, but 
> they could be used for strategic or counter strategic reasons. (I don't 
> however want to encourage this kind of voting since I think that voting 
> methods that use strategies and counter strategies extensively are most 
> probably not good enough to be used in normal public elections anyway.)


Again, how do you count such a vote - assuming you claim it should have 
meaning when counting)?

Of course, groups of voters can, together, create a cycle that the 
counters must break - by deciding which leg of the cycle is weakest - but 
there is no weakest leg if/when a single voter is allowed to do this.

> 
> 4) One option would be to allow candidates to be grouped. This could be 
> useful if the number of candidates is large. One could vote for example 
> Bush>Gore>Reagan>Republicans>Democrats>Greens ("Republicans" will be 
> interpreted here as "other Republican candidates than Bush and Reagan" 
> etc.).


Reads as doable.  Desirable to encourage this type of thinking?

> 
> Allowing individual Republican candidates to be ranked below the generic 
> "Republicans" item could be banned even if such use of group entries 
> would be allowed otherwise. This is to avoid the negative effects 
> discussed in case 2. It may be better to force voters to list all 
> republican candidates if they want to place one of them last. In this 
> way they are at least forced to see what kind of (maybe even less wanted 
> and totally unknown) candidates they are ranking above the candidate 
> they want to rank last, and probability of "unintended stupid votes" 
> would probably decrease.


Reads as doable.  Sales pitch above sounds deservedly weak.

> 
> 5) Yet another way of voting would be to use fragmented votes. One could 
> vote Bush>Reagan;Gore>Clinton, which means that Bush is preferred to 
> Reagan and Gore is preferred to Clinton but the voter has not indicated 
> anything about if (s)he prefers Bush to Gore or the other way around, 
> Bush to Clinton etc. I think voters that would be interested in voting 
> this way would still be quite consistent. It is quite ok to have an 
> opinion "Bush is nicer than Reagan but I don't care if Republicans or 
> Democrats will win (others may decide)".


Voters might dream they are being consistent.  WHAT have they said to the 
counters?

> 
> The current (EM) default rules concerning ranking based ballots are 
> simple, in most cases they offer voters all the tools they need, and 
> they often stop voters making foolish things (like ranking their worst 
> enemies last or electing some unknown candidates). It could be possible 
> to allow e.g. some or all of the five special cases above to be used but 
> I doubt if they would bring more benefits than they do bring problems in 
> the form of making the system more complex and inviting voters to do 
> something stupid. Case 4 could maybe be helpful if the number of 
> candidates is large. I have also sometimes had feelings like the example 
> in case 5 myself. Note that combination of cases 5 and 1 makes it 
> possible to set separately any of the n x (n-1) / 2 pairwise preferences.
> 
> Best Regards,
> Juho

-- 
  davek at clarityconnect.com    people.clarityconnect.com/webpages3/davek
  Dave Ketchum   108 Halstead Ave, Owego, NY  13827-1708   607-687-5026
            Do to no one what you would not want done to you.
                  If you want peace, work for justice.




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