Why I Prefer IRV to
Condorcet
by Greg Dennis, last edited
11/22/08
If you consider yourself a supporter of Condorcet voting methods, then you've
clearly put some critical thought into electoral reform, thought which has
driven you to support a very good single-winner voting method. We need more
people to think as seriously about alternative voting
systems.
That said, I'd like to explain why I believe Condorcet methods, while very
good single-winner voting systems, place a close second behind Instant Runoff
Voting. As you probably know,
Arrow's
Impossibility Theorem proves that no voting system satisfies a reasonable
set of fairness criteria, even under the assumption that voters mark their
preferences honestly on the ballot. You may also be familiar with the
Gibbard-Satterthwaite
Theorem, which proves every system to be susceptible to some form of
strategic voting. (While these theorems don't technically apply to systems
that don't involve ranking, like range and approval voting, these systems do
violate numerous fairness criteria nonetheless.)
Choosing a voting system,
therefore, requires balancing the relative pros and cons of what are
ultimately imperfect options.
As I attempt to demonstrate below, IRV not only elects Condorcet winners
regularly in practice, but in a competitive electoral environment, IRV may
actually elect true Condorcet winners more often than Condorcet itself.
Furthermore, I argue IRV is more politically feasible, prevents obscure
candidates from winning, and increases the political and technological
feasibility of proportional representation and other forms of preferential
voting, including Condorcet itself. Even if this essay fails to convince you
that IRV is superior to Condorcet, I hope it at least persuades you to support
IRV campaigns where they arise in the United
States.
Reason #1: IRV has a track record of electing Condorcet winners
First and foremost, IRV eliminates the most common
violation of the Condorcet criterion --- the so-called "spoiler" scenario ---
where the presence of a candidate with little core support causes a Condorcet
winner with strong core support to lose. Under IRV, the candidate with little
support is eliminated in an early round of tallying, allowing the deserving
Condorcet winner to beat another front-runner in the final round. By
eliminating this "spoiler" dynamic, IRV accommodates more parties and
candidates who cannot yet gain enough votes to
win.
Having more choices from across the spectrum deepens political discussion and
allows new parties to disseminate their message and grow (or not) organically
over a period of years.
Admittedly, there is another situation similar to the spoiler problem --- the
"center squeeze" scenario -- in which IRV may fail to elect the Condorcet
winner. In this scenario, the presence of a candidate with strong core support
causes a Condorcet winner with little core support to lose. Fortunately,
despite the theoretical possibility of this scenario, the empirical evidence
suggests that it is vanishingly rare in practice. In fact, if you look at the
ballot data that is publicly available for the IRV elections held in the US
(San Francisco, CA, Burlington, VT, and Pierce County, WA), for instance,
you'll see that IRV and Condorcet agree on the winner every single time.
Lacking sufficient examples of real elections in which IRV has failed to elect
the Condorcet winner, a few IRV critics have resorted to using top-two runoff
elections in which the Condorcet winner lost as evidence of IRV's
center-squeeze problem. However, top-two runoff and instant runoff are
different systems that can produce different results, so this "evidence" is
hardly convincing. Given the
hundreds of public IRV elections that are conducted worldwide every
year, if the center-squeeze
scenario under IRV were so common, it would presumably be easy to find a good
percentage of actual IRV elections that exhibit it. This is not to say that
the center-squeeze will never happen, but it is to question why so much
hand-wringing is devoted to a problem that is so rare in practice.
Conclusion: IRV will elect Condorcet winners more often than plurality, and
cases in which it fails to elect them are rare.
Reason #2: IRV is less complicated than Condorcet
The one advantage that Plurality has over IRV is its simplicity. Fortunately,
voters don't need to know how to tally an IRV election in order to vote in
one, in the same way the average person can drive a car without understanding
what's going on under the hood. Still, the simpler the system, the easier it
is to explain to those who do wish to look under the hood, and the more
trustworthy and transparent the system appears to the voting public. Plus, the
simpler the system, the greater the political feasibility of enacting it.
The basic Condorcet idea may sound simpler than IRV at first; that is, until
you realize that pairwise elections can result in a cycle and thereby fail to
produce a clear winner. Any usable Condorcet method must, therefore, have a
backup plan to resolve such cycles. The need for a backup plan has lead to
quite complicated Condorcet systems, perhaps the most popular being
Schwartz
Sequential Dropping, which are ultimately more opaque and difficult to
explain than IRV. The prospects of enacting such a system in the U.S. are dim.
Conclusion: The complexity of Condorcet renders it less transparent and
less politically feasible than IRV.
Reason #3: IRV is less susceptible to intuitive strategies
Unlike IRV, Condorcet is susceptible to intuitive voting strategies. Condorcet
suffers these strategic problems because it fails the
Later-no-harm
and later-no-help criteria, which means ranking additional candidates can
affect whether earlier ranked candidates win or lose. As we shall see,
satisfying these criteria, as IRV does, is crucial to encouraging complete,
honest ranking of ballots in a competitive electoral environment.
In a race with two major front-runners, one obvious strategy, known as
burying, occurs when a voter who prefers one front-runner dishonestly
ranks the other front-runner last. To illustrate, first consider the following
honest rankings:
46: A > B > C
44: B > A > C
5: C > A > B
5: C > B > A
In this scenario, Condorcet, IRV, and Plurality all agree that A is the
winner. Suppose, however, that B's voters, in an effort to manipulate
the result, decide to dishonestly rank A last. While IRV and Plurality
would still elect A, Condorcet methods would find a cycle, so it would
be up to the particular resolution strategy to choose the winner. Now consider
a case where B's supporters again bury A, but
A's supporters bury
B as well. Now Condorcet
elects C, who according to the honest rankings is the
Condorcet
Loser, i.e. the absolute worst choice. IRV, being fully resistant to
burying, continues to elect the true Condorcet winner A. Thus, in the
face of rampant burying, IRV may, ironically, elect true Condorcet winners
more often than Condorcet itself.
Particularly worrisome is that the campaigns themselves may encourage burying.
It might begin with B's campaign quietly encouraging its supporters to bury A.
If A's campaign gets word, they may encourage its supporters to bury B. In the
end, both campaigns may engage in a kind of high-stakes game of chicken that
could result in their both losing to C. Professor Burt Monroe points out this
problem in his paper "Raising Turkeys"
(PDF)
-- in my example, the "turkey" candidate C is "raised" by supporters of A and
B. Monroe invents a criterion called "Nonelection of Irrelevant Alternatives",
which a voting method passes if, when the voters all act strategically in
their individual self-interest, the method cannot elect the voters'
least preferred choice. IRV passes this criterion but Condorcet methods do
not.
In addition to burying, Condorcet may lead to increased bullet-voting,
the strategy whereby the voter ranks his or her top choice and leaves the rest
of the ranks blank. Bullet voting under Condorcet may increase the chances
one's first choice will win. To illustrate, consider these honest rankings:
46: A > B > C
44: B > C > A
10: C > A > B
Condorcet results in a cycle in this case, but if A's supporters bullet
vote instead, then A wins. This isn't a bad outcome, per se, because
A looks like the deserving winner and would win under IRV as well.
However, because bullet voting can help one's top choice under Condorcet,
bullet voting may become more prevalent. In a close three-way race, for
example, this may cause a return of the spoiler problem. For example, consider
these honest rankings:
18: A > B > C
17: A > C > B
19: B > C >
A
14: B > A > C
18: C > B > A
14: C > A > B
Candidate B is the both the IRV and Condorcet winner in this case. But
voters using Condorcet, aware that bullet voting may help their top choice and
unable to predict the exact results in advance, may nevertheless decide to
bullet vote. If they do, then Condorcet elects candidate A, even though
A is the Condorcet Loser. Thus, if Condorcet necessarily leads
to bullet voting in practice, then IRV may, again, elect true Condorcet
winners more often than Condorcet itself.
Furthermore, any increase in bullet voting gives ammunition to those who would
seek a return to Plurality. "If so few people are voting beyond the first
rank, do we really need the rest?" a Plurality advocate may claim. Indeed, the
prevalence of bullet voting sped the repeal of Bucklin voting (a ranked
voting method, which also failed the Later-no-harm criterion, used in several
state party primaries early in the 20th century). Widespread use of multiple
ranks is important to the political sustainability of any preferential voting
system.
As mentioned, every voting system is theoretically vulnerable to strategic
manipulation, and IRV is no exception. However, strategies that help under IRV
are are largely counter-intuitive and may very well backfire -- actually
causing the defeat of the candidate the strategizer sought to help -- so they
can't be universally applied to any election the way burying can be employed
under Condorcet. Given their increase complexity and chance of backfiring,
they are unlikely to be advocated by the campaigns themselves. It is not
surprising, then, that there's little evidence that voters strategically
manipulate IRV elections to their benefit in
practice.
Conclusion: Under Condorcet, voters are more likely to engage in strategic
manipulation that leads to results poorer than those delivered by
IRV.
Reason #4: IRV ensures that we know where the winner stands
Imagine an upcoming election between two well-known candidates, A and
B, who observers expect to both engage in mud-slinging and dirty
tactics. If the election were to use a Condorcet method, an enterprising but
little-known candidate C might decide to throw her hat into the race,
but otherwise lay low and avoid revealing any potentially alienating policy
positions throughout the campaign. With a little luck, and
"anybody-but-that-other-candidate" thinking by voters, candidate C
may see the following results on election night:
49: A > C > B
48: B > C > A
2: C > A > B
1: C > B > A
The supporters of A and B, feeling disdain for each other's
candidate and lacking any reason to think negatively of C, place
C second on their ballots. Note that this is subtly different than the
"burying" discussed in Reason #3. In this case, supporters of A and
B aren't dishonestly burying; rather the candidate they know nothing
about truly seems more appealing at the moment to a candidate they actively
dislike.
A theoretician may look at the results of this election and presume that
C would win in a head-to-head match-up with either A or
B, but I challenge the conclusion. Although laying low could prove a
winning strategy in a Condorcet race, it would be unlikely to succeed in a
head-to-head match-up where a candidate would have to make her positions known
and earn a majority of support to emerge victorious. Candidate
C may hold fringe
positions, have a history of corruption, or have other unappealing
characteristics that would be revealed under the limelight of a head-to-head
race.
To win under
Condorcet, a candidate need not give a good reason to vote for her; not
giving voters a reason to vote against her can suffice. The latter can
be accomplished by speaking in platitudes, refusing to take clear positions on
issues, and generally not making one's views known to avoid alienating
anyone. Indeed,
a candidate who garners zero first choice support may win under
Condorcet. Such a campaign strategy could be detrimental to our political
discourse, leading to poorly-informed voters and depressed voter
turnout.
To win IRV elections, in contrast, candidates must distinguish themselves and
make their positions clear, so as to attract a significant amount of core
support. While the strategy of saying little of substance may prove successful
under Condorcet, such a candidate would likely be eliminated in an early round
of
IRV.
Conclusion: By requiring the winner to garner a level
of core support, IRV ensures the winner is someone who made his or her
positions clear.
Reason #5: IRV makes
Condorcet feasible
Condorcet and IRV share the same hurdles any preferential voting system
would face on the road to implementation. These include the need for
user-friendly preferential ballots, voting machines capable of capturing these
preferences, and voters comfortable with the whole idea of preferential
voting. IRV and Condorcet advocates can work jointly in this regard, leaving
it to the future to decide between which tabulation rules should be applied to
the ranked ballots, since both systems are superior to plurality and two-round
runoffs.
IRV is currently in place in many jurisdictions around the U.S. and the world,
and the "center-squeeze" effect has yet to generated serious concern in
practice. Though if it does, and if a jurisdiction currently using IRV wishes
to experiment with Condorcet instead, there will be far fewer obstacles in its
way. Maybe my concerns about strategic voting and substance-less campaigns
will come true, or maybe they won't. But enacting IRV now makes it more likely
that Condorcet experiment can take place in the future.
Conclusion: Enacting IRV removes technological and political hurdles to
Condorcet and preferential voting generally.
Reason #6: IRV is the best stepping-stone to proportional representation
IRV,
Condorcet, and all systems for electing single-winner offices (such as a
mayor, governor, president) are "winner-take-all" systems. Many electoral
reformers, myself included, believe no winner-take-all system is ideal
for electing a legislative body, such as a city council, or state or national
legislature. In those cases, some form of proportional representation would
better reflect the diversity of the public. Proportional representation
ensures that the majority of voters will elect the majority of the legislative
seats, but also, that significant minorities will be able to elect their fair
share as well, in proportion to their support among the
electorate.
Thus, improving our single-winner
elections is ultimately only a small step in ensuring our electoral system is
competitive and fully democratic, and our ultimate goal should be some
form of proportional representation for our legislative bodies. To that end,
one of the great advantages of IRV as a voting system is that it is just a
special case of a more general system for proportional representation called
the Single Transferable Vote or "Choice Voting".
Praised by
activists and academics
alike, Choice
Voting is the only system of PR used in the world today that is preferential
and the only one that can be used in both partisan and non-partisan
elections.
The synergy between IRV and Choice Voting is evident
by looking at electoral systems around the world. The use of IRV in Australia
set the stage for that country's later adoption of Choice Voting for its upper
house. Ireland, too, uses both IRV and Choice Voting for its elections.
Similarly, the IRV legislation passed in Minneapolis also enacts Choice Voting
for the city's At Large commissions. Due to this synergy, IRV serves as a
great stepping-stone to proportional representation in the United
States.
While there do theoretically exist proportional representation systems that
become Condorcet in the single-winner case, such as
CPO-STV,
they are exceedingly complicated, and to my knowledge, have yet to be used for
any election -- public or private -- in the world. Even the inventor of
CPO-STV, Professor Nicolaus Tideman, does not take a position on whether the
added complexity of his method is worth its
"cost
of manageability." Enacting such a complex system would, in my view, be
politically infeasible.
Conclusion: IRV makes a good single-winner stepping-stone to a feasible system
of proportional representation, but Condorcet does
not.
Reason #7: IRV has political
momentum
Among proposals
to reform the way we elect single-winner offices, Instant Runoff Voting is by
far the most popular and has gained significant traction in states and cities
around the nation.
Currently, at
least a dozen jurisdictions in the United States use IRV or Choice Voting and
at least nine implementations of IRV are pending, meaning the U.S. should have
at least 21 IRV implementations by 2010, more than half of which have been
adopted in the years since 2002. Given the glacial pace at which electoral
reform usually moves, these numbers are a sign of impressive political
momentum. Although Condorcet is used by a handful of technical organizations,
it is not currently used for any public election in the world.
I welcome
Condorcet voting advocates seeking to persuade voters and elected officials to
support their preferred system over plurality elections and runoff elections,
just as IRV advocates do. But efforts to adopt IRV are far more likely to be
successful. Rightly or wrongly, the fact that Condorcet could elect a
candidate who would come in dead last in a traditional American plurality or
runoff election essentially makes it a political non-starter - both from the
perspective of ordinary voters and of elected officials. In contrast, IRV has
a widely-accepted analog: the traditional runoff election that Americans use
in many elections and that most nations use around the world when electing a
president. The fact that many people are familiar with runoffs and appreciate
their logic helps IRV advocates fend off attacks by opponents. Indeed,
recent wins at the polls, growing support from civic leaders and editorial
writers and activity in half of our state legislatures indicate IRV's
viability.
Conclusion: Even if you disagree that IRV is superior to Condorcet, I hope you
find IRV to be a politically-viable system worth supporting, so that we may
continue to make our elections in the United States more competitive and
democratic.