Proportional Representation, the Single Transferable Vote, and Electoral Pragmatism
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Critical Strategies Under Approval Voting: Who Gets Ruled in and Ruled Out
Critical Strategies Under Approval Voting: Who Gets Ruled In And Ruled Out Steven J. Brams Department of Politics New York University New York, NY 10003 USA [email protected] M. Remzi Sanver Department of Economics Istanbul Bilgi University 80310, Kustepe, Istanbul TURKEY [email protected] January 2005 2 Abstract We introduce the notion of a “critical strategy profile” under approval voting (AV), which facilitates the identification of all possible outcomes that can occur under AV. Included among AV outcomes are those given by scoring rules, single transferable vote, the majoritarian compromise, Condorcet systems, and others as well. Under each of these systems, a Condorcet winner may be upset through manipulation by individual voters or coalitions of voters, whereas AV ensures the election of a Condorcet winner as a strong Nash equilibrium wherein voters use sincere strategies. To be sure, AV may also elect Condorcet losers and other lesser candidates, sometimes in equilibrium. This multiplicity of (equilibrium) outcomes is the product of a social-choice framework that is more general than the standard preference-based one. From a normative perspective, we argue that voter judgments about candidate acceptability should take precedence over the usual social-choice criteria, such as electing a Condorcet or Borda winner. Keywords: approval voting; elections; Condorcet winner/loser; voting games; Nash equilibrium. Acknowledgments. We thank Eyal Baharad, Dan S. Felsenthal, Peter C. Fishburn, Shmuel Nitzan, Richard F. Potthoff, and Ismail Saglam for valuable suggestions. 3 1. Introduction Our thesis in this paper is that several outcomes of single-winner elections may be socially acceptable, depending on voters’ individual views on the acceptability of the candidates. -
Computational Social Choice
(Computational) Social Choice Michal Jakob Artificial Intelligence Center, Dept. of Computer Science and Engineering, FEE, Czech Technical University AE4M36MAS Autumn 2018 - Lecture 11 Motivating Example top choice ranking > > > > > > > > > ? > ? > ? > ? > > > > > > OPEN INFORMATICS / MULTIAGENT SYSTEMS: SOCIAL CHOICE Social Choice Social choice theory is a theoretical framework for making rational collective decisions based on the preferences of multiple agents. (does not consider payments: settings with payments auctions) OPEN INFORMATICS / MULTIAGENT SYSTEMS: SOCIAL CHOICE Wide Range of Applications Elections Joint plans (MAS) Resource allocation Recommendation and reputation systems Human computation (crowdsourcing) Webpage ranking and meta-search engines Discussion forums OPEN INFORMATICS / MULTIAGENT SYSTEMS: SOCIAL CHOICE Key Questions What does it mean to make collective rational choices? Which formal properties should such choices satisfy? Which of these properties can be satisfied simultaneously? How difficult is it to compute collective choices? Can voters benefit by lying about their preferences? OPEN INFORMATICS / MULTIAGENT SYSTEMS: SOCIAL CHOICE Basic Definitions Social Choice OPEN INFORMATICS / MULTIAGENT SYSTEMS: SOCIAL CHOICE Social Welfare Function Consider ▪ a finite set 푁 = {1, … , 푛} of at least two agents (also called individuals or voters), and ▪ a finite universe 푈 of at least two alternatives (also called candidates). ▪ Each agent 푖 has preferences over the alternatives in 푈, which are represented by a transitive -
A Generalization of the Minisum and Minimax Voting Methods
A Generalization of the Minisum and Minimax Voting Methods Shankar N. Sivarajan Undergraduate, Department of Physics Indian Institute of Science Bangalore 560 012, India [email protected] Faculty Advisor: Prof. Y. Narahari Deparment of Computer Science and Automation Revised Version: December 4, 2017 Abstract In this paper, we propose a family of approval voting-schemes for electing committees based on the preferences of voters. In our schemes, we calcu- late the vector of distances of the possible committees from each of the ballots and, for a given p-norm, choose the one that minimizes the magni- tude of the distance vector under that norm. The minisum and minimax methods suggested by previous authors and analyzed extensively in the literature naturally appear as special cases corresponding to p = 1 and p = 1; respectively. Supported by examples, we suggest that using a small value of p; such as 2 or 3, provides a good compromise between the minisum and minimax voting methods with regard to the weightage given to approvals and disapprovals. For large but finite p; our method reduces to finding the committee that covers the maximum number of voters, and this is far superior to the minimax method which is prone to ties. We also discuss extensions of our methods to ternary voting. 1 Introduction In this paper, we consider the problem of selecting a committee of k members out of n candidates based on preferences expressed by m voters. The most common way of conducting this election is to allow each voter to select his favorite candidate and vote for him/her, and we select the k candidates with the most number of votes. -
Proxy Voting Guidelines Benchmark Policy Recommendations TITLE
UNITED STATES Proxy Voting Guidelines Benchmark Policy Recommendations TITLE Effective for Meetings on or after February 1, 2021 Published November 19, 2020 ISS GOVERNANCE .COM © 2020 | Institutional Shareholder Services and/or its affiliates UNITED STATES PROXY VOTING GUIDELINES TABLE OF CONTENTS Coverage ................................................................................................................................................................ 7 1. Board of Directors ......................................................................................................................................... 8 Voting on Director Nominees in Uncontested Elections ........................................................................................... 8 Independence ....................................................................................................................................................... 8 ISS Classification of Directors – U.S. ................................................................................................................. 9 Composition ........................................................................................................................................................ 11 Responsiveness ................................................................................................................................................... 12 Accountability .................................................................................................................................................... -
The Case for Electoral Reform: a Mixed Member Proportional System
1 The Case for Electoral Reform: A Mixed Member Proportional System for Canada Brief by Stephen Phillips, Ph.D. Instructor, Department of Political Science, Langara College Vancouver, BC 6 October 2016 2 Summary: In this brief, I urge Parliament to replace our current Single-Member Plurality (SMP) system chiefly because of its tendency to distort the voting intentions of citizens in federal elections and, in particular, to magnify regional differences in the country. I recommend that SMP be replaced by a system of proportional representation, preferably a Mixed Member Proportional system (MMP) similar to that used in New Zealand and the Federal Republic of Germany. I contend that Parliament has the constitutional authority to enact an MMP system under Section 44 of the Constitution Act 1982; as such, it does not require the formal approval of the provinces. Finally, I argue that a national referendum on replacing the current SMP voting system is neither necessary nor desirable. However, to lend it political legitimacy, the adoption of a new electoral system should only be undertaken with the support of MPs from two or more parties that together won over 50% of the votes cast in the last federal election. Introduction Canada’s single-member plurality (SMP) electoral system is fatally flawed. It distorts the true will of Canadian voters, it magnifies regional differences in the country, and it vests excessive political power in the hands of manufactured majority governments, typically elected on a plurality of 40% or less of the popular vote. The adoption of a voting system based on proportional representation would not only address these problems but also improve the quality of democratic government and politics in general. -
THE SINGLE-MEMBER PLURALITY and MIXED-MEMBER PROPORTIONAL ELECTORAL SYSTEMS : Different Concepts of an Election
THE SINGLE-MEMBER PLURALITY AND MIXED-MEMBER PROPORTIONAL ELECTORAL SYSTEMS : Different Concepts of an Election by James C. Anderson A thesis presented to the University of Waterloo in fulfillment of the thesis requirement for the degree of Master of Arts in Political Science Waterloo, Ontario, Canada, 2006 © James C. Anderson 2006 Reproduced with permission of the copyright owner. Further reproduction prohibited without permission. Library and Bibliotheque et Archives Canada Archives Canada Published Heritage Direction du Branch Patrimoine de I'edition 395 Wellington Street 395, rue Wellington Ottawa ON K1A 0N4 Ottawa ON K1A 0N4 Canada Canada Your file Votre reference ISBN: 978-0-494-23700-7 Our file Notre reference ISBN: 978-0-494-23700-7 NOTICE: AVIS: The author has granted a non L'auteur a accorde une licence non exclusive exclusive license allowing Library permettant a la Bibliotheque et Archives and Archives Canada to reproduce,Canada de reproduire, publier, archiver, publish, archive, preserve, conserve,sauvegarder, conserver, transmettre au public communicate to the public by par telecommunication ou par I'lnternet, preter, telecommunication or on the Internet,distribuer et vendre des theses partout dans loan, distribute and sell theses le monde, a des fins commerciales ou autres, worldwide, for commercial or non sur support microforme, papier, electronique commercial purposes, in microform,et/ou autres formats. paper, electronic and/or any other formats. The author retains copyright L'auteur conserve la propriete du droit d'auteur ownership and moral rights in et des droits moraux qui protege cette these. this thesis. Neither the thesis Ni la these ni des extraits substantiels de nor substantial extracts from it celle-ci ne doivent etre imprimes ou autrement may be printed or otherwise reproduits sans son autorisation. -
The Role of Voting Systems
SUBMISSION 103 Strengthening our democracy through voters understanding what influence they can wield. Submission to the Joint Standing Committee on Electoral Matters Inquiry into civics and electoral education Proportional Representation Society of Australia http://www.prsa.org.au July 2006 p. 1 Introduction p. 2 Elements of a strategy to improve voting awareness p. 3 The Society's interest p. 5 A proud tradition of electoral innovation in earlier years p. 6 Promotion of vigorous discussion about electoral systems p. 7 How an Australian Democracy Web site might work p. 8 Specific matters to be covered p. 9 Recent unfortunate consequences of failure to make voters’ wishes central in Commonwealth elections p.10 House of Representatives votes needlessly rendered informal at the start of the scrutiny p.11 Six Senate vacancies ordinarily in each State a backward step p.12 The Senate party-box short-cut regularly backfires p.15 Senate transfer values definition untenable in computer age p.16 Party box methods in the States have also had major problems p.19 Electoral outcomes of the last twenty-five years regularly unfair despite equalised enrolments p.20 Minority-support and lopsided outcomes where enrolments equalised p.23 Removing enrolment imbalances in recent years hasn’t ended unsatisfactory outcomes p.25 Lop-sided outcomes lead to challenges to the legitimacy of first-past-the-post methods overseas p.28 Hare-Clark system at forefront of emphasising voter influence p.32 Setting of some basic national civics and related information goals -
Responsiveness, Capture and Efficient Policymaking
CENTRO DE INVESTIGACIÓN Y DOCENCIA ECONÓMICAS, A.C. ELECTIONS AND LOTTERIES: RESPONSIVENESS, CAPTURE AND EFFICIENT POLICYMAKING TESINA QUE PARA OBTENER EL GRADO DE MAESTRO EN CIENCIA POLÍTICA PRESENTA JORGE OLMOS CAMARILLO DIRECTOR DE LA TESINA: DR. CLAUDIO LÓPEZ-GUERRA CIUDAD DE MÉXICO SEPTIEMBRE, 2018 CONTENTS I. Introduction .............................................................................................................. 1 II. Literature Review ..................................................................................................... 6 1. Political Ambition .............................................................................................. 6 2. Electoral Systems and Policymaking ................................................................. 7 3. The Revival of Democracy by Lot ..................................................................... 8 III. Lottocracy in Theory .............................................................................................. 12 IV. Elections and Lotteries ........................................................................................... 14 1. Responsiveness ................................................................................................. 14 2. Legislative Capture ........................................................................................... 16 3. Efficiency.......................................................................................................... 18 V. A Formal Model of Legislator’s Incentives .......................................................... -
Are Condorcet and Minimax Voting Systems the Best?1
1 Are Condorcet and Minimax Voting Systems the Best?1 Richard B. Darlington Cornell University Abstract For decades, the minimax voting system was well known to experts on voting systems, but was not widely considered to be one of the best systems. But in recent years, two important experts, Nicolaus Tideman and Andrew Myers, have both recognized minimax as one of the best systems. I agree with that. This paper presents my own reasons for preferring minimax. The paper explicitly discusses about 20 systems. Comments invited. [email protected] Copyright Richard B. Darlington May be distributed free for non-commercial purposes Keywords Voting system Condorcet Minimax 1. Many thanks to Nicolaus Tideman, Andrew Myers, Sharon Weinberg, Eduardo Marchena, my wife Betsy Darlington, and my daughter Lois Darlington, all of whom contributed many valuable suggestions. 2 Table of Contents 1. Introduction and summary 3 2. The variety of voting systems 4 3. Some electoral criteria violated by minimax’s competitors 6 Monotonicity 7 Strategic voting 7 Completeness 7 Simplicity 8 Ease of voting 8 Resistance to vote-splitting and spoiling 8 Straddling 8 Condorcet consistency (CC) 8 4. Dismissing eight criteria violated by minimax 9 4.1 The absolute loser, Condorcet loser, and preference inversion criteria 9 4.2 Three anti-manipulation criteria 10 4.3 SCC/IIA 11 4.4 Multiple districts 12 5. Simulation studies on voting systems 13 5.1. Why our computer simulations use spatial models of voter behavior 13 5.2 Four computer simulations 15 5.2.1 Features and purposes of the studies 15 5.2.2 Further description of the studies 16 5.2.3 Results and discussion 18 6. -
An Electoral System Fit for Today? More to Be Done
HOUSE OF LORDS Select Committee on the Electoral Registration and Administration Act 2013 Report of Session 2019–21 An electoral system fit for today? More to be done Ordered to be printed 22 June 2020 and published 8 July 2020 Published by the Authority of the House of Lords HL Paper 83 Select Committee on the Electoral Registration and Administration Act 2013 The Select Committee on the Electoral Registration and Administration Act 2013 was appointed by the House of Lords on 13 June 2019 “to consider post-legislative scrutiny of the Electoral Registration and Administration Act 2013”. Membership The Members of the Select Committee on the Electoral Registration and Administration Act 2013 were: Baroness Adams of Craigielea (from 15 July 2019) Baroness Mallalieu Lord Campbell-Savours Lord Morris of Aberavon (until 14 July 2019) Lord Dykes Baroness Pidding Baroness Eaton Lord Shutt of Greetland (Chairman) Lord Hayward Baroness Suttie Lord Janvrin Lord Wills Lord Lexden Declaration of interests See Appendix 1. A full list of Members’ interests can be found in the Register of Lords’ Interests: http://www.parliament.uk/mps-lords-and-offices/standards-and-interests/register-of-lords- interests Publications All publications of the Committee are available at: https://committees.parliament.uk/committee/405/electoral-registration-and-administration-act- 2013-committee/publications/ Parliament Live Live coverage of debates and public sessions of the Committee’s meetings are available at: http://www.parliamentlive.tv Further information Further information about the House of Lords and its Committees, including guidance to witnesses, details of current inquiries and forthcoming meetings is available at: http://www.parliament.uk/business/lords Committee staff The staff who worked on this Committee were Simon Keal (Clerk), Katie Barraclough (Policy Analyst) and Breda Twomey (Committee Assistant). -
MGF 1107 FINAL EXAM REVIEW CHAPTER 9 1. Amy (A), Betsy
MGF 1107 FINAL EXAM REVIEW CHAPTER 9 1. Amy (A), Betsy (B), Carla (C), Doris (D), and Emilia (E) are candidates for an open Student Government seat. There are 110 voters with the preference lists below. 36 24 20 18 8 4 A E D B C C B C E D E D C B C C B B D D B E D E E A A A A A Who wins the election if the method used is: a) plurality? b) plurality with runoff? c) sequential pairwise voting with agenda ABEDC? d) Hare system? e) Borda count? 2. What is the minimum number of votes needed for a majority if the number of votes cast is: a) 120? b) 141? 3. Consider the following preference lists: 1 1 1 A C B B A D D B C C D A If sequential pairwise voting and the agenda BACD is used, then D wins the election. Suppose the middle voter changes his mind and reverses his ranking of A and B. If the other two voters have unchanged preferences, B now wins using the same agenda BACD. This example shows that sequential pairwise voting fails to satisfy what desirable property of a voting system? 4. Consider the following preference lists held by 5 voters: 2 2 1 A B C C C B B A A First, note that if the plurality with runoff method is used, B wins. Next, note that C defeats both A and B in head-to-head matchups. This example shows that the plurality with runoff method fails to satisfy which desirable property of a voting system? 5. -
Croatia: Three Elections and a Funeral
Conflict Studies Research Centre G83 REPUBLIC OF CROATIA Three Elections and a Funeral The Dawn of Democracy at the Millennial Turn? Dr Trevor Waters Introduction 2 President Tudjman Laid To Rest 2 Parliamentary Elections 2/3 January 2000 5 • Background & Legislative Framework • Political Parties & the Political Climate • Media, Campaign, Public Opinion Polls and NGOs • Parliamentary Election Results & International Reaction Presidential Elections - 24 January & 7 February 2000 12 Post Tudjman Croatia - A New Course 15 Annex A: House of Representatives Election Results October 1995 Annex B: House of Counties Election Results April 1997 Annex C: Presidential Election Results June 1997 Annex D: House of Representatives Election Results January 2000 Annex E: Presidential Election Results January/February 2000 1 G83 REPUBLIC OF CROATIA Three Elections and a Funeral The Dawn of Democracy at the Millennial Turn? Dr Trevor Waters Introduction Croatia's passage into the new millennium was marked by the death, on 10 December 1999, of the self-proclaimed "Father of the Nation", President Dr Franjo Tudjman; by make or break Parliamentary Elections, held on 3 January 2000, which secured the crushing defeat of the former president's ruling Croatian Democratic Union, yielded victory for an alliance of the six mainstream opposition parties, and ushered in a new coalition government strong enough to implement far-reaching reform; and by two rounds, on 24 January and 7 February, of Presidential Elections which resulted in a surprising and spectacular victory for the charismatic Stipe Mesić, Yugoslavia's last president, nonetheless considered by many Croats at the start of the campaign as an outsider, a man from the past.