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Who Gains from Apparentments Under D'hondt?
CIS Working Paper No 48, 2009 Published by the Center for Comparative and International Studies (ETH Zurich and University of Zurich) Who gains from apparentments under D’Hondt? Dr. Daniel Bochsler University of Zurich Universität Zürich Who gains from apparentments under D’Hondt? Daniel Bochsler post-doctoral research fellow Center for Comparative and International Studies Universität Zürich Seilergraben 53 CH-8001 Zürich Switzerland Centre for the Study of Imperfections in Democracies Central European University Nador utca 9 H-1051 Budapest Hungary [email protected] phone: +41 44 634 50 28 http://www.bochsler.eu Acknowledgements I am in dept to Sebastian Maier, Friedrich Pukelsheim, Peter Leutgäb, Hanspeter Kriesi, and Alex Fischer, who provided very insightful comments on earlier versions of this paper. Manuscript Who gains from apparentments under D’Hondt? Apparentments – or coalitions of several electoral lists – are a widely neglected aspect of the study of proportional electoral systems. This paper proposes a formal model that explains the benefits political parties derive from apparentments, based on their alliance strategies and relative size. In doing so, it reveals that apparentments are most beneficial for highly fractionalised political blocs. However, it also emerges that large parties stand to gain much more from apparentments than small parties do. Because of this, small parties are likely to join in apparentments with other small parties, excluding large parties where possible. These arguments are tested empirically, using a new dataset from the Swiss national parliamentary elections covering a period from 1995 to 2007. Keywords: Electoral systems; apparentments; mechanical effect; PR; D’Hondt. Apparentments, a neglected feature of electoral systems Seat allocation rules in proportional representation (PR) systems have been subject to widespread political debate, and one particularly under-analysed subject in this area is list apparentments. -
A Canadian Model of Proportional Representation by Robert S. Ring A
Proportional-first-past-the-post: A Canadian model of Proportional Representation by Robert S. Ring A thesis submitted to the School of Graduate Studies in partial fulfilment of the requirements for the degree of Master of Arts Department of Political Science Memorial University St. John’s, Newfoundland and Labrador May 2014 ii Abstract For more than a decade a majority of Canadians have consistently supported the idea of proportional representation when asked, yet all attempts at electoral reform thus far have failed. Even though a majority of Canadians support proportional representation, a majority also report they are satisfied with the current electoral system (even indicating support for both in the same survey). The author seeks to reconcile these potentially conflicting desires by designing a uniquely Canadian electoral system that keeps the positive and familiar features of first-past-the- post while creating a proportional election result. The author touches on the theory of representative democracy and its relationship with proportional representation before delving into the mechanics of electoral systems. He surveys some of the major electoral system proposals and options for Canada before finally presenting his made-in-Canada solution that he believes stands a better chance at gaining approval from Canadians than past proposals. iii Acknowledgements First of foremost, I would like to express my sincerest gratitude to my brilliant supervisor, Dr. Amanda Bittner, whose continuous guidance, support, and advice over the past few years has been invaluable. I am especially grateful to you for encouraging me to pursue my Master’s and write about my electoral system idea. -
Appendix A: Electoral Rules
Appendix A: Electoral Rules Table A.1 Electoral Rules for Italy’s Lower House, 1948–present Time Period 1948–1993 1993–2005 2005–present Plurality PR with seat Valle d’Aosta “Overseas” Tier PR Tier bonus national tier SMD Constituencies No. of seats / 6301 / 32 475/475 155/26 617/1 1/1 12/4 districts Election rule PR2 Plurality PR3 PR with seat Plurality PR (FPTP) bonus4 (FPTP) District Size 1–54 1 1–11 617 1 1–6 (mean = 20) (mean = 6) (mean = 4) Note that the acronym FPTP refers to First Past the Post plurality electoral system. 1The number of seats became 630 after the 1962 constitutional reform. Note the period of office is always 5 years or less if the parliament is dissolved. 2Imperiali quota and LR; preferential vote; threshold: one quota and 300,000 votes at national level. 3Hare Quota and LR; closed list; threshold: 4% of valid votes at national level. 4Hare Quota and LR; closed list; thresholds: 4% for lists running independently; 10% for coalitions; 2% for lists joining a pre-electoral coalition, except for the best loser. Ballot structure • Under the PR system (1948–1993), each voter cast one vote for a party list and could express a variable number of preferential votes among candidates of that list. • Under the MMM system (1993–2005), each voter received two separate ballots (the plurality ballot and the PR one) and cast two votes: one for an individual candidate in a single-member district; one for a party in a multi-member PR district. • Under the PR-with-seat-bonus system (2005–present), each voter cast one vote for a party list. -
Another Consideration in Minority Vote Dilution Remedies: Rent
Another C onsideration in Minority Vote Dilution Remedies : Rent -Seeking ALAN LOCKARD St. Lawrence University In some areas of the United States, racial and ethnic minorities have been effectively excluded from the democratic process by a variety of means, including electoral laws. In some instances, the Courts have sought to remedy this problem by imposing alternative voting methods, such as cumulative voting. I examine several voting methods with regard to their sensitivity to rent-seeking. Methods which are less sensitive to rent-seeking are preferred because they involve less social waste, and are less likely to be co- opted by special interest groups. I find that proportional representation methods, rather than semi- proportional ones, such as cumulative voting, are relatively insensitive to rent-seeking efforts, and thus preferable. I also suggest that an even less sensitive method, the proportional lottery, may be appropriate for use within deliberative bodies, where proportional representation is inapplicable and minority vote dilution otherwise remains an intractable problem. 1. INTRODUCTION When President Clinton nominated Lani Guinier to serve in the Justice Department as Assistant Attorney General for Civil Rights, an opportunity was created for an extremely valuable public debate on the merits of alternative voting methods as solutions to vote dilution problems in the United States. After Prof. Guinier’s positions were grossly mischaracterized in the press,1 the President withdrew her nomination without permitting such a public debate to take place.2 These issues have been discussed in academic circles,3 however, 1 Bolick (1993) charges Guinier with advocating “a complex racial spoils system.” 2 Guinier (1998) recounts her experiences in this process. -
Who Gains from Apparentments Under D'hondt?
Manuscript Who gains from apparentments under D’Hondt? Daniel Bochsler, Centre for the Study of Imperfections in Democracies (DISC), Central European University, [email protected] - www.bochsler.eu 13 November 2009 Apparentments – or coalitions of several electoral lists – are a widely neglected aspect of the study of proportional electoral systems. This paper proposes a formal model that explains the benefits political parties derive from apparentments, based on their alliance strategies and relative size. In doing so, it reveals that apparentments are most beneficial for highly fractionalised political blocs. However, it also emerges that large parties stand to gain much more from apparentments than small parties do. Because of this, small parties are likely to join in apparentments with other small parties, excluding large parties where possible. These arguments are tested empirically, using a new dataset from the Swiss national parliamentary elections covering a period from 1995 to 2007. Keywords: Electoral systems; apparentments; mechanical effect; PR; D’Hondt. Apparentments, a neglected feature of electoral systems* Seat allocation rules in proportional representation (PR) systems have been subject to widespread political debate, and one particularly under-analysed subject in this area is list apparentments. Theoretical work and studies based on simulation models has shown that the division allocation rule with rounding down (the most frequently applied PR allocation rule, referred to as the D’Hondt or Jefferson method) strongly favours large parties over small parties (see, among many others, Pennisi, 1998; Elklit, 2007; Schuster, Pukelsheim, Drton, and Draper, 2003). Other common seat allocation rules, such as Hamilton’s or Hare/Niemayer’s largest remainder method, or the Sainte- Laguë/Webster divisor method with standard rounding are unbiased with regards to party size. -
The Expanding Approvals Rule: Improving Proportional Representation and Monotonicity 3
Working Paper The Expanding Approvals Rule: Improving Proportional Representation and Monotonicity Haris Aziz · Barton E. Lee Abstract Proportional representation (PR) is often discussed in voting settings as a major desideratum. For the past century or so, it is common both in practice and in the academic literature to jump to single transferable vote (STV) as the solution for achieving PR. Some of the most prominent electoral reform movements around the globe are pushing for the adoption of STV. It has been termed a major open prob- lem to design a voting rule that satisfies the same PR properties as STV and better monotonicity properties. In this paper, we first present a taxonomy of proportional representation axioms for general weak order preferences, some of which generalise and strengthen previously introduced concepts. We then present a rule called Expand- ing Approvals Rule (EAR) that satisfies properties stronger than the central PR axiom satisfied by STV, can handle indifferences in a convenient and computationally effi- cient manner, and also satisfies better candidate monotonicity properties. In view of this, our proposed rule seems to be a compelling solution for achieving proportional representation in voting settings. Keywords committee selection · multiwinner voting · proportional representation · single transferable vote. JEL Classification: C70 · D61 · D71 1 Introduction Of all modes in which a national representation can possibly be constituted, this one [STV] affords the best security for the intellectual qualifications de- sirable in the representatives—John Stuart Mill (Considerations on Represen- tative Government, 1861). arXiv:1708.07580v2 [cs.GT] 4 Jun 2018 H. Aziz · B. E. Lee Data61, CSIRO and UNSW, Sydney 2052 , Australia Tel.: +61-2-8306 0490 Fax: +61-2-8306 0405 E-mail: [email protected], [email protected] 2 Haris Aziz, Barton E. -
Notes on the Droop Quota
Notes on the Droop quota Jonathan Lundell & I D Hill Nicolaus Tideman (after Michael Dummett) calls this “(k+1)-proportionality for solid coalitions”, or (k+1)-PSC [2, p269]. 1 Introduction The Droop quota, like the Hare quota, is often rounded to an integer. From O’Neill’s description STV methods have historically used one of two quo- of the proposed BC STV rules [4]: tas: the Hare quota v/s (votes divided by seats) or The “Droop quota” will be the formula the Droop quota v/(s + 1) (votes divided by seats for calculating the number of votes re- plus one) [1, 2]. quired by a candidate for election in a The Hare quota v/s is the largest quota such that district. The quota formula is: s candidates can be elected. Methods employing the Hare quota typically deal in whole votes, and use the total number of valid integer portion of the calculation: !v/s". ballots cast in the district With the Hare quota, it is possible for a major- + 1 number of members ity bloc of voters to elect only a minority of seats, 1 + to be elected in particular when the number of seats is odd. The Droop quota, the smallest quota such that no more Fractions are ignored. candidates can be elected than there are seats to fill, addresses this problem. Furthermore, the Hare More compactly: !v/(s + 1) + 1". quota is vulnerable to strategic voting and vote man- Henry Droop himself defined his quota as agement, which the Droop quota makes much less mV/(n + 1) + i, where V voters have m votes likely to succeed. -
Comparative Table on Proportional Electoral Systems
Strasbourg, 28 November 2014 CDL(2014)058 Study No. 764/2014 Or. bil. EUROPEAN COMMISSION FOR DEMOCRACY THROUGH LAW (VENICE COMMISSION) COMPARATIVE TABLE ON PROPORTIONAL ELECTORAL SYSTEMS: THE ALLOCATION OF SEATS INSIDE THE LISTS (OPEN/CLOSED LISTS) This document will not be distributed at the meeting. Please bring this copy. www.venice.coe.int CDL(2014)058 - 2 - Proportional systems, Proportional systems: Electoral systems, Proportional systems, methods of allocation of Country Legal basis System of representation closed or open party main relevant provision(s) methods of allocation of seats seats list system? inside the lists Constitution Proportional system: Constitution Largest remainder Closed Party List No preference Article 64 All the 140 members of the Article 64 (amended by Law no. d'Hondt, then Sainte-Laguë system Not indicated in the law but Parliament are elected through 9904, dated 21.04.2008) formulas No preference implicitly clear that there is Electoral Code a proportional representation 1. The Assembly consists of 140 no preference. (approved by Law system within constituencies deputies, elected by a proportional See the separate document for no. 10 019, dated 29 corresponding to the 12 system with multi-member electoral Articles 162-163. December 2008, administrative regions. zones. and amended by The threshold to win 2. A multi-member electoral zone According to the stipulations in Law no. 74/2012, parliamentary representation is coincides with the administrative Articles 162 and 163 of the Electoral dated 19 July 2012) 3 percent for political parties division of one of the levels of Code, the number of seats is Articles 162 & 163 and 5 per cent for pre-election administrative-territorial calculated for each of the coalitions coalitions. -
Proportional Representation Electoral Systems
Provisional Legislative Council Secretariat IN 1/PLC INFORMATION NOTE Proportional Representation Electoral Systems 1. Meaning of Proportional Representation 1.1 Proportional representation (PR) is a generic term for all the systems of election which seek to relate seats to votes cast by the electorate in accordance with party or candidate preference. The form can be multi-member seats or party lists. 1.2 The aim of PR is to have the allocation of seats in representative bodies according to the number of votes received by parties or by individual candidates. We take one constituency with five seats as an example. The party polling three-fifths of the total votes cast by the voters in that constituency will return three out of five seats; the party polling two-fifths of the total votes will return two seats. The party composition of the representative body will then reflect the party preference of the electorate with a considerable degree of accuracy in the constituency. Table 1 illustrates a representative body with five seats representing one constituency. Table 1: Illustrative example of the representative body with five seats with 100,000 voters in one constituency Votes Seats in representative body Party Number cast Percentage Number returned Percentage A 60,000 60% 3 60% B 40,000 40% 2 40% TOTAL 100,000 100% 5 100% 1.3 Upon this simple foundation, however, some complicated structures are built. The complications arise from two distinct aims: (i) to relate as accurately as possible the number of seats held to the polling strength of the parties, and (ii) to permit an opportunity for the voter to express an opinion on the personal merits of the candidates. -
Txu-Oclc-12033646-1951-10-31.Pdf (11.26Mb)
lU'f, ^ -V,111-"UjW ife«SjPM'A -f rl* •> -i, f i r «fMC o l,f* 0 9mp;f i t y\ I n*p h.tf?$ o u w f^T' . 0 ,Vi •> 11^> !>•>«• • I>w.i j, t'N if' M-> Tr* Frank C. Laubach, whose Fx^day night at 8 o'clock, Dr. jr.! i * t * "lightning literacy" system lias Laubach will speak at a public you si *** » ' * >t.v* -l v Price 5 Cents AUSTIN, TEXAS, WEDNESDAY, OCTOBER 3r. 1951 /n'U'.'P&afcyr P«99i'Tod« taught approximately 60 million rally at the University Methodist 1 1 people to read, will apeak to Uni- Church* He will talk at the Uni " ' ' ' " " " " ' * IP : veraity and Austin groups Novem- versity Christian Chureh at 9 aLm.! ^ >i] ' r • J ' i.. r 4 s ber 1-4. | . Sunday, and at, the University • Dr. Laubach, missionary-educa- Baptist Church at 10 a.m. Grand Juryman tor, was one of three men who re • Dr. -Laubach began his unique ceived the 1951 Teddy ,Roosevelt methods of teaching illiterates on Y <||| ai ^•' ^' Award for work among illiterate the isle of Mindanao in the Philip t I peoples. On arrival in Austin pines in 1929. The Moro inhabi Turns Witness Thursday, Dr. L&bbach will begin tants of the island were war-like a series of talks and meetings with Mohammedans. Dr. Laubach learn-' University and Austin groups. ed the language of the people and, He will speak tb a student meet* with the help of Filipino educators, In Wallace Case Ing in Architecture Building 106 devised a phonetic-picture alpha* at 8. -
April 15, 2021
Proportional Representation April 15, 2021 POL 140A: Electoral Systems Isaac Hale Spring Quarter, 2021 Hale Proportional Representation Outline 1. Alberta check-in! 2. Review: key concepts 3. The basics of PR 4. Allocating seats 5. D’Hondt 6. LR-Hare 2/44 Hale Proportional Representation Checking in On Alberta! 3/44 Hale Proportional Representation Practice at Home!: Alberta, 2015 OBSERVED PREDICTED Nv = 3.30 Nv = 2.54 Ns = 2.19 Ns = 2.11 D2 = 19.22 D2 = 11.28 4/44 Hale Proportional Representation Review: Key Concepts 5/44 Hale Proportional Representation The Majoritarian-proportional Spectrum Electoral systems are usually primarily classified according to their proportionality = the degree to which they represent (groups of) voters equally - as opposed to over-representing the largest groups. Majoritarian Proportional • Plurality • Party-list Proportional • Runoff (List PR) • Alternative Vote • Single Transferable Vote (single-seat (STV; multi-winner Ranked Choice Ranked Choice Voting) Voting) 6/44 Hale Proportional Representation Electoral Systems Type Matters 7/44 Hale Proportional Representation Review: Key Concepts • Assembly size (S): the total number of seats in the assembly • District magnitude (M): the number of seats in a district – In US House districts, UK parliamentary constituencies, and Canadian ridings, M=1. – In national PR systems, like Israel, M=S – In districted PR systems, like Portugal, M varies by district 8/44 Hale Proportional Representation The Basics of PR 9/44 Hale Proportional Representation Typical Majoritarian -
ELECTOOL. Some Tools for the Analysis of Electoral Systems∗
ELECTOOL. Some Tools for the Analysis of Electoral Systems∗ Antonio M. Jaime-Castillo Department of Sociology, University of Granada E-mail: [email protected] February, 2010 This document describes electoral formulas and indicators used by the electool package for Stata1. The package contains two different programs: v2seats and electind. This document is intended to be used only in conjunction with the electool package and only describes the procedures used by v2seats and electind. For assistance with syntax, use man v2seats and man electind, after installation, as usual. 1 Electoral formulas (v2seats) This section describes electoral formulas used by the v2seats command. It only provides information about how each formula works. For assistance with syntax, use man v2seats, after installation, as usual. Most of the electoral formulas used by v2seats are well known and have been documented in the literature. Please, refer to academic as well as official sources for further explanation and details about the foundations and mathematical properties for each formula. See for instance, Benoit (2000), Blais and Massicotte (1997), Gallagher (1992), and Golder (2005) for a concise review. Electoral formulas are designed to allocate seats to parties. Many formulas have been proposed in the literature and there are many different implementations of each formula in real electoral systems. This document only describes formulas used by v2seats, which covers most of the formulas in use around the world. There are two main different types of electoral formulas: majority and proportional methods. Ma- jority methods are intended to select one single winner, while proportional methods allocate seats proportionally to the number of votes for each party.