At 09:55 AM 6/12/2013, Jameson Quinn wrote:
As voting reform activists, we must work together as much as possible. In general, that means that raising awareness should start with teaching people about approval. Still, if someone is unsatisfied with the expressivity of approval, we should have a backup offering.

That is, we should have a plan for future improvement. Really, unless a place already has IRV in place, a more complex ballot is not the first step to take. It's like our decision to promote Approval. An obvious first step, a do-no-harm improvement. More complex ballots mean spending money.

The actual reform we suggest should depend on local conditions. They vary.

Personally, I think that median systems offer the best backup offering in that sense. That doesn't mean I intend to undercut people promoting Score or Condorcet; just that I think median systems offer a good compromise between expressivity and low rewards to strategy. From my perspective, Score is great for honest voters, but for strategic voters it has exactly the same expressivity problems that approval does. And Condorcet is too complex — not just to describe in the abstract, but to present the results of even a single election in a clear, intuitive form.

Uh, Score systems can ba amagalamated as median or as average or as sum. The latter fits most closely with democratic traditions, it is just Count all the votes, i.e., Approval, plus the allowance of fractional voting.

Median systems are introducing what appears to be, for public choice, an *entirely new* concept. So, the obvious question, why?

And, remember, we are talking about first reforms, not the *ideal*.

But median systems have a problem. There are too many of them, and even more names.

Off the top of my head, I can think of the following names:
* Bucklin: A general class of median systems which are implemented via a descending threshold. Also used to describe various specific ranked or hybrid ranked/rated systems used during the progressive era. For instance, some use "Bucklin" to mean "median using full or truncated rankings, using the highest majority as a tiebreaker"; others mean the Grand Junction system of "median using 3+1 numbered rank/grades with skipping allowed and ties allowed at the third grade only; highest majority tiebreaker".

Bucklin is a median system, that's true, but that is not the *concept.* And any poor performance of Bucklin would come, quite likely, from using median amalgamation. (I.e., a Bucklin ballot is really a Score ballot, and a score ballot can be used for Bucklin amalgamation, it is an obvious and simple extension.)

* Majority Choice Approval (MCA): I've seen this applied to various 3-rank median systems, but I think the canonical one is: "if there is a majority top-rank, then the highest such; otherwise, the candidate with the most non-bottom rankings."
   * Majority Judgment (MJ): as defined by Balinski and Laraki
   * Graduated Majority Judgment (GMJ): as defined by me.
There are also a number of possible descriptive "branding" terms for a median / Bucklin system:
   * Instant Runoff Approval
I created that one, because that is exactly what it is, and it simulates a series of descending cutoff Approval elections, hence a way-cool implementation, as a primary and runoff method in a two-round system, thus, if it has N approval grades, it simulates 2*N approval runoffs in the full two-election set. Jurisdictions that want to ensure majority approval can probably reach that, even with many candidates, in a two-round Bucklin system, and I've suggested that if the Range ballot is a little deeper, i.e, includes unapproved ranks, it can also, in the primary, be analysed for a beats-Range top two (or beats-Bucklin top two) winner, using the lower preferences, thus making the *system* Condorcet compliant, if a Condorcet winner must always be in the runoff. If a majority is found, depending on the wishes of the jurisdiction, the runoff may not be necessary.

Increasingly, though, I've become aware of systems that *always* go to the general election. So the primary is just a unified primary, as distinct from party primaries. And with a good runoff method, and with write-ins allowed in the runoff, the electorate can still have three choices on the ballot, if certain conditions are met, plus write-ins that don't necessarily vote-split.

What, I'd like to know, is not to like about this?

   * Graded Instant Runoff
   * Descending Threshold Approval
   * Majority Threshold
   * Grade Voting
   * Majority-Based Grade Assignment
Instant runoff Approval fully satisfies expectations. It is what the name implies.

It seems to me that Median and Bucklin advocates should come to a consensus on what specific system to promote, and what to call it. That doesn't mean we should cease discussing the different systems in fora like these; just that when promoting systems to the public, we should be on the same page.

Bucklin is widely known as Bucklin, the Grand Junction system, and it was simply called "preferential voting" in many places. It was also called "American Preferential Voting," to distinguish it from "foreign" systems (i.e, STV methods).

Which system is best? I think the clear choices are MCA or GMJ, and I'd personally favor GMJ. MCA is the simplest well-defined median system. GMJ is good because: * Unlike the specific systems called "Bucklin", it has no vestige of ranked thinking, and thus requires no dishonest strategy.
That's naive.

   * It's more expressive than MCA.
* Unlike MJ, GMJ can easily be expressed in terms of a Bucklin-like descending threshold, a single algebraic formula, or a graphing procedure. (As far as I know, MJ can only be expressed in one way). GMJ is also easier to "program" into a spreadsheet in my experience. * Unlike MJ, GMJ results can be succinctly and unambiguously expressed as a single number for each candidate. * Unlike MJ, the GMJ winner for a given honestly-voted utility profile tend to be stable as the number of evenly-spaced grading categories varies, even in moderately "pathological" examples (such as a single-peaked versus a two-peaked candidate). * However, the actual results will agree with other median systems in almost all realistic cases. What should we call it? GMJ isn't a horrible name, but if people prefer to use one of the above "branding" terms or something similar, I'd be open to discussing it.

I *very much* dislike the use of letter grades that imply absolute ratings. It is essentially suggesting to the voter that they disempower themselves. The whole discussion about "dishonest strategy" is contaminated with judgment against the normal think we do with choices, our internal ratings are highly dependent on expectations *in the particular case*, and people who don't do that tend to be unhappy.

But I think it's important for us to join our voices in better harmony on this. Abd, in particular: why do you continue to talk about "Bucklin" (ie, the grand junction system) when there are better-designed, more-clearly-defined Bucklin systems available today?

The Grand Junction System is adequately defined, but the system I'd recommend now is Bucklin-ER, to start. Three ranks.

All three ranks are approved ranks. In *some* elections, two ranks might be used.

Jameson
ps. None of this message should be read as an attempt to abandon the common effort to promote approval voting as a first step.

This is very simple. Approval first. The obvious first and most significant objection to Approval, then, is addressed with ranked approval. There is a method, approval-IRV, that has the LnH behavior of IRV, if the voter wants that protection. But I actually think it harms voter behavior to encourage excessive fear of LnH.

Look at the arguments for GMJ above. They will mostly be unintelligible to ordinary citizens who are not specialists in voting systems.

So, I see this as one reform path.

1. Approval.
2. Bucklin-ER, 3-rank. (Traditional Grand Junction system plus equal ranking *allowed* in all ranks.) 3. Full range ballot for Bucklin [adds . (*Range reporting starts, and Condorcet analysis becomes more complete*) 4. Runoff with pairwise leader included if different. Runoff if majority not found. Or unconditional runoff. 5. Range amalgamation substitutes for Bucklin amalgamation. Resolution may be increased if needed. Approval information is always collected.

All of this works with runoff voting. We should *not* attempt to kill runoff voting as an *easy target*, and we should oppose FairVote attempts to do this, there is basic information about this to be included, and providing information for intelligent decisions is our job.

(If it were practical, approval voting with repeated Bucklin ballots until a majority is found is a *highly sophisticated system*.)

We don't know the Bayesian Regret performance of Bucklin, because the testing that was done, AFAIK, did not understand a Bucklin ballot as being a Range ballot, but treated it as a ranked ballot.

The Bucklin ballot I'd see at the 3rd step could even have letters attached, it's really a Range 4 ballot, just as the step 2 ballot is that ballot without the elevated but unapproved rating of "1: included. So A is 4.0, as people expect. But I'd want to see the method in actual use *first*, to avoid misleading voters. If you really want to give all politicians a bad rating, then you should totally realize that you are disempowering yourself, not casting a full vote, to *make a choice.*

Bucklin could be reported, by the way, as a net grade point average for candidates, the values averaged would be the numbers of 0 plus 2-4. If the additional unapproved level of 1 is included on the ballot, it's then a complete Range set. And candidates can be given that single "grade" that Jameson wants. Voting is *choice*, not absolute rating.

If I could put full and accurate labels on a Bucklin ballot, the ratings would convey this:

4. Favorite(s) or Best
3. Good, Preferred over others.
2. Barely Accepted, better than holding a runoff. (If runoffs are triggers by majority failure.)
1. Disapproved, but better than the Worst.
0. Worst. No support in any way.

(If one sees a nice candidate, with the misfortune to be in a field of better candidates, hey, give him a zero, or maybe a 1 if there is significant write-in activity, but ... send him a donation to encourage him to keep plugging away! "I rated you 1, but only because there really were some great other candidates. But next election, I could vote for you. Keep up the good work!)

A rating of 1 will not ordinarily elect a candidate, per se, but *might* get the candidate into a runoff if pairwise analysis is done. It is a vote against the candidate, not any kind of approval of the candidate. It is possible that if other voters, by a majority, approve of that candidate, the vote of 1 might edge the candidate to first position in, say, Range amalgamation. As I'd have it, without majority approval, nobody is elected and the ballot becomes a method of providing ballot position in the runoff.

Now, the kicker, full circle. The most sophisticated system proposed here can be improved with a vote-for-one ballot, to create an assembly or other body to handle single-winner elections deliberately. Asset Voting. The chosen electors -- total free choice by the voters, no worry about wasted votes -- unless, of course you vote for a wasted idiot -- could easily use *any ballot method* with repeated elections, until a decisive and true majority winner emerges. And that election, on principle, *could be revoked at any time.* Asset. Radical, a complete revolution in how we think about politics and elections. Most people still hold on to expectations from the present system, when considering Asset.

They imagine, routinely, *the same political behavior seen with winner-take-all elections.* They imagine that candidates must still try to get as many votes as possible in the general election. They imagine that the need, then, to buy expensive media coverage will continue. They imagine the continuance of the common oppositional obsession, when Asset rewards nothing but cooperation. If electors cooperate, they elect more seats. If they don't, they elect fewer. No big deal.

I have no idea how far the single-winner reform path would go before an Asset or STV reform. Approval, yes, *immediately*. Bucklin could come vary soon, and, before I close this, I want to remind readers that Bucklin, aside from top-two runoff, is the most widely tried advanced voting system in U.S. history, aside from what I just discovered about Vermont.

Vermont had pure vote-for-one *majority required* going for a long time, they simply kept voting until they got it right. That is a *highly advanced system*. It's easily improved, made more efficient, with Approval or Bucklin methods. That's what's never been done.
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