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IRV EXHAUSTION    

by Clay Shentrup

A major talking point from the Instant Runoff Voting community is that IRV "always elects a majority winner". We already know that this cannot be true in the absolute sense, because of Condorcet cycles. It is also false because IRV can improperly eliminate the true majority winner prior to the final round. But here we consider another reason why IRV, in practice, can easily elect a candidate without majority support: ballot exhaustion.


In San Francisco, we use a variant of IRV, ambiguously called "Ranked Choice Voting". With this system, voters pick a first, second, and third choice, instead of ranking all the candidates. What can then happen is that we have a final round in which the winner has less than 50% of the votes. Here is an example, from the official government web site for the City and County of San Francisco.


Notice that Ed Jew defeated Ron Dudum in the final round, with 8,388 votes (38.2%) to Dudum's 7,587 (34.5%). Jew won with far less than 50% of the voters supporting him. We did not see what more than 27% of the voters thought about the final Jew vs. Dudum match-up.

 

 Race and Candidate Pass 1 Pass 2 Pass 3 Pass 4  

Pre-RCV
Count

Pre-RCV Diff.

 MEMBER, BOARD OF SUPERVISORS DIST. 4
 RON DUDUM

5,134

5,521

6,305

7,587

 

 

5,072

62

 ED JEW (Winner 52.507%)

5,184

5,441

6,455

8,388

 

 

5,125

59

 JAYNRY MAK

4,569

5,012

5,851*

 

 

 

4,504

65

 DOUG CHAN

3,236

3,414*

 

 

 

 

3,192

44

 HOUSTON ZHENG

234*

 

 

 

 

 

225

9

 DAVID FERGUSON

1,455*

 

 

 

 

 

1,419

36

 WRITE-IN

2*

 

 

 

 

 

2

0

 Eligible Ballots 

19,814

19,388

18,611

15,975

 

Undervotes

2,253

 

 Exhausted Ballots 

2,171

2,597

3,374

6,010

 

Overvotes

193

 

 Total Ballots 

21,985

21,985

21,985

21,985

 

Total

21,985

 

SOURCE


The same thing happened in District 6, where Chris Daly won with 45%.

 

Race and Candidate Pass 1 Pass 2 Pass 3 Pass 4 Pass 5  

Pre-RCV
Count

Pre-RCV Diff.

 MEMBER, BOARD OF SUPERVISORS DIST. 6
 VILIAM DUGOVIC

340

348

358*

 

 

 

 

330

10

 GEORGE DIAS

230

231*

 

 

 

 

 

222

8

 MATT DRAKE

679

688

725

830

869

 

 

669

10

 CHRIS DALY (Winner 50.822%)

8,746

8,763

8,803

8,871

8,968

 

 

8,654

92

 DAVY JONES

389

402

421

463

506

 

 

372

17

 ROBERT JORDAN

125*

 

 

 

 

 

 

119

6

 MANUEL JIMENEZ, JR.

317

328

375

399*

 

 

 

311

6

 ROB BLACK

7,115

7,134

7,173

7,215

7,303

 

 

7,051

64

 WRITE-IN

*

 

 

 

 

 

 

0

0

 Eligible Ballots 

17,941

17,894

17,855

17,778

17,646

 

Undervotes

2,027

 

 Exhausted Ballots 

1,974

2,021

2,060

2,137

2,269

 

Overvotes

160

 

 Total Ballots 

19,915

19,915

19,915

19,915

19,915

 

Total

19,915

 

SOURCE

The Moral?

In all cases where there was not an immediate first-round majority, the winner got less than a majority. Ranked Choice Voting is popular variant pushed by IRV advocates who often proclaim that IRV will always elect a candidate preferred by a majority of voters. Ballot exhaustion is yet another reason why, at least for the RCV form, those claims are false.

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1 message about this page
Jul 4 2007 by WELTSCHMERZ
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