Guide to Electoral Reform



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Appendix Tables

Table A1. Non-monotonicity under the alternative vote

Type of voter

Number of voters in type

Order of preferences among candidates

A

18,000

Amy, Brian, Carol, David

B

15,000

Carol, Amy, Brian, David

C

12,000

Brian, Carol, David, Amy

D

6,000

David, Brian, Amy, Carol

Table A2. Largest remainders with the Hare quota in the European Parliament elections, South East region, 2009




Votes

Number of quotas

Remainder

Additional seats

Total seats

Conservative

812,288

3

111,830

1

4

UKIP

440,002

1

206,516

1

2

Lib Dem

330,340

1

96,854




1

Green

271,506

1

38,020




1

Labour

192,592

0

192,592

1

1

BNP

101,769

0

101,769

1

1

English Democrats

52,526

0

52,526




0

Others

133,835

0







0

Total valid votes ()

Seats available ()

Hare quota ()


2,334,858

10

233,486















Table A3. Largest remainders with the Droop quota in the European Parliament elections, South East region, 2009




Votes

Number of quotas

Remainder

Additional seats

Total seats

Conservative

812,288

3

175,508

1

4

UKIP

440,002

2

15,482




2

Lib Dem

330,340

1

118,080

1

2

Green

271,506

1

59,246




1

Labour

192,592

0

192,592

1

1

BNP

101,769

0

101,769




0

English Democrats

52,526

0

52,526




0

Others

133,835

0







0

Total valid votes ()

Seats available ()

Droop quota ()


2,334,858

10

212,260















Table A4. Highest averages (d’Hondt) in the European Parliament elections, South East region, 2009




Con.

UKIP

Lib Dem

Green

Labour

BNP

Eng Dem

Others

Votes

812,288

440,002

330,340

271,506

192,592

101,769

52,526

133,835

÷ 1

812,288

440,002

330,340

271,506

192,592

101,769

52,526




÷ 2

406,144

220,001

165,170

135,753

96,196










÷ 3

270,762

146,667

110,113

90,502













÷ 4

203,072

110,001

82,585
















÷ 5

162,458

88,000



















÷ 6

135,381






















÷ 7

116,041






















÷ 8

101,536






















Seats

4

2

2

1

1

0

0

0

Table A5. Sainte-Laguë in the European Parliament elections, South East region, 2009




Con.

UKIP

Lib Dem

Green

Labour

BNP

Eng Dem

Others

Votes

812,288

440,002

330,340

271,506

192,592

101,769

52,526

133,835

÷ 1

812,288

440,002

330,340

271,506

192,592

101,769

52,526




÷ 3

270,762

146,667

110,113

90,502

64,197










÷ 5

162,458

88,000

66,068
















÷ 7

116,041

62,859



















÷ 9

90,254






















Seats

4

2

2

1

1

0

0

0

Table A6. Hypothetical results in the Scottish Parliament election for the Highlands and Islands




SNP

Lib Dems

Lab

Con

Green

Others

Votes won

63,979

37,001

32,952

23,334

8,602

19,905

Constituency seats won

3

5

0

0

0

0

1st divisor

4

6

1

1

1

1

1st quotient

15,995

6,169

32,952

23,334

8,602




2nd quotient

12,796




16,476

11,667







3rd quotient

10,663




10,984

7,778







4th quotient

9,140




8,238










Regional seats won

2

0

3

2

0

0

Total seats won

5

5

3

2

0

0

Further Reading

The readings given here are selective: they include a few general sources of particular value for the issues discussed and those materials that I mention in the text or use as sources of specific information.

The best all-round introduction to electoral systems is David Farrell, Electoral Systems: A Comparative Introduction, 2nd edition (Palgrave Macmillan, 2010). Briefer but good discussion appears in Arend Lijphart, Patterns of Democracy: Government Forms and Performance in Thirty-Six Countries (Yale University Press, 1999). Useful analysis of the effects of electoral systems on a variety of criteria is given in Pippa Norris, Electoral Engineering: Voting Rules and Political Behavior (Cambridge University Press, 2004). Good introductions to many aspects of elections appear in Lawrence LeDuc, Richard G. Niemi, and Pippa Norris (eds.), Comparing Democracies 3: Elections and Voting in the 21st Century (Sage, 2010).

A very helpful overview of the electoral systems that exist around the world is Andrew Reynolds, Ben Reilly, and Andrew Ellis, Electoral System Design: The New International IDEA Handbook (International IDEA, 2005). Good discussions of how electoral systems operate in a variety of countries around the world, including the UK, appear in Michael Gallagher and Paul Mitchell (eds.), The Politics of Electoral Systems (Oxford University Press, 2005).

For a history of recent developments in the British electoral system, see John Curtice, “The Electoral System”, in Vernon Bogdanor (ed.), The British Constitution in the Twentieth Century (Oxford University Press, 2003), pp. 483–520. Much insight into recent debates over electoral reform can be gained from official documents. Most important is the report of the Jenkins Commission (the Independent Commission on the Voting System), which can be read online or found as Command Paper 4090–I. A recent overview of issues that need to be thought about when choosing an electoral system, written from a British perspective, is Simon Hix, Ron Johnston, and Iain McLean, Choosing an Electoral System (British Academy, 2010).

I mention the coalition agreement between the Conservatives and the Liberal Democrats at various points throughout the book. It is available from programmeforgovernment.hmg.gov.uk.



Chapter 1.

The information on the number of countries enforcing compulsory voting comes from the International Institute for Democracy and Electoral Assistance, at www.idea.int.

Figures for postal voting come from Colin Rallings and Michael Thrasher, “The 2005 General Election: Analysis of the Results” and “UK General Election 2010: Turnout and Administrative Data”, both www.electoralcommission.org.uk.

Chapter 2

The subject of what criteria we should use in evaluating electoral systems is discussed interestingly in Adrian Blau, “Fairness and Electoral Reform”, British Journal of Politics and International Relations, vol. 6, no. 2 (May 2004), pp. 165–81, and Michael Gallagher, “Conclusions”, in Michael Gallagher and Paul Mitchell (eds.), The Politics of Electoral Systems (Oxford University Press, 2005), pp. 535–78. A more formal, mathematical approach is taken by the Oxford philosopher Michael Dummett in his Principles of Electoral Reform (Oxford University Press, 1997).

Information on the number of women in parliament is given in two papers from the House of Commons Library: “Women in Parliament and Government” (30 June 2009) and “General Election 2010” (8 July 2010). Both of these are available from the parliament website (www.parliament.uk). The latter gives data also on MPs from ethnic minorities (and much else besides).

The Power Inquiry report was published as Power to the People: The Report of Power: An Independent Inquiry into Britain’s Democracy (2006) and is available at www.powerinquiry.org.

The Hansard Society report that looked (among other things) at the proportion of MPs’ time spent on constituency work was called A Year in the Life: From Member of Public to Member of Parliament (2006), available at www.hansardsociety.org.uk.



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