THE SINGLE-MEMBER PLURALITY and MIXED-MEMBER PROPORTIONAL ELECTORAL SYSTEMS : Different Concepts of an Election
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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. -
Absolute Voting Rules Adrian Vermeule
University of Chicago Law School Chicago Unbound Coase-Sandor Working Paper Series in Law and Coase-Sandor Institute for Law and Economics Economics 2005 Absolute Voting Rules Adrian Vermeule Follow this and additional works at: https://chicagounbound.uchicago.edu/law_and_economics Part of the Law Commons Recommended Citation Adrian Vermeule, "Absolute Voting Rules" (John M. Olin Program in Law and Economics Working Paper No. 257, 2005). This Working Paper is brought to you for free and open access by the Coase-Sandor Institute for Law and Economics at Chicago Unbound. It has been accepted for inclusion in Coase-Sandor Working Paper Series in Law and Economics by an authorized administrator of Chicago Unbound. For more information, please contact [email protected]. CHICAGO JOHN M. OLIN LAW & ECONOMICS WORKING PAPER NO. 257 (2D SERIES) Absolute Voting Rules Adrian Vermeule THE LAW SCHOOL THE UNIVERSITY OF CHICAGO August 2005 This paper can be downloaded without charge at: The Chicago Working Paper Series Index: http://www.law.uchicago.edu/Lawecon/index.html and at the Social Science Research Network Electronic Paper Collection: http://ssrn.com/abstract_id=791724 Absolute Voting Rules Adrian Vermeule* The theory of voting rules developed in law, political science, and economics typically compares simple majority rule with alternatives, such as various types of supermajority rules1 and submajority rules.2 There is another critical dimension to these questions, however. Consider the following puzzles: $ In the United States Congress, the votes of a majority of those present and voting are necessary to approve a law.3 In the legislatures of California and Minnesota,4 however, the votes of a majority of all elected members are required. -
On the Distortion of Voting with Multiple Representative Candidates∗
The Thirty-Second AAAI Conference on Artificial Intelligence (AAAI-18) On the Distortion of Voting with Multiple Representative Candidates∗ Yu Cheng Shaddin Dughmi David Kempe Duke University University of Southern California University of Southern California Abstract voters and the chosen candidate in a suitable metric space (Anshelevich 2016; Anshelevich, Bhardwaj, and Postl 2015; We study positional voting rules when candidates and voters Anshelevich and Postl 2016; Goel, Krishnaswamy, and Mu- are embedded in a common metric space, and cardinal pref- erences are naturally given by distances in the metric space. nagala 2017). The underlying assumption is that the closer In a positional voting rule, each candidate receives a score a candidate is to a voter, the more similar their positions on from each ballot based on the ballot’s rank order; the candi- key questions are. Because proximity implies that the voter date with the highest total score wins the election. The cost would benefit from the candidate’s election, voters will rank of a candidate is his sum of distances to all voters, and the candidates by increasing distance, a model known as single- distortion of an election is the ratio between the cost of the peaked preferences (Black 1948; Downs 1957; Black 1958; elected candidate and the cost of the optimum candidate. We Moulin 1980; Merrill and Grofman 1999; Barbera,` Gul, consider the case when candidates are representative of the and Stacchetti 1993; Richards, Richards, and McKay 1998; population, in the sense that they are drawn i.i.d. from the Barbera` 2001). population of the voters, and analyze the expected distortion Even in the absence of strategic voting, voting systems of positional voting rules. -
Single-Winner Voting Method Comparison Chart
Single-winner Voting Method Comparison Chart This chart compares the most widely discussed voting methods for electing a single winner (and thus does not deal with multi-seat or proportional representation methods). There are countless possible evaluation criteria. The Criteria at the top of the list are those we believe are most important to U.S. voters. Plurality Two- Instant Approval4 Range5 Condorcet Borda (FPTP)1 Round Runoff methods6 Count7 Runoff2 (IRV)3 resistance to low9 medium high11 medium12 medium high14 low15 spoilers8 10 13 later-no-harm yes17 yes18 yes19 no20 no21 no22 no23 criterion16 resistance to low25 high26 high27 low28 low29 high30 low31 strategic voting24 majority-favorite yes33 yes34 yes35 no36 no37 yes38 no39 criterion32 mutual-majority no41 no42 yes43 no44 no45 yes/no 46 no47 criterion40 prospects for high49 high50 high51 medium52 low53 low54 low55 U.S. adoption48 Condorcet-loser no57 yes58 yes59 no60 no61 yes/no 62 yes63 criterion56 Condorcet- no65 no66 no67 no68 no69 yes70 no71 winner criterion64 independence of no73 no74 yes75 yes/no 76 yes/no 77 yes/no 78 no79 clones criterion72 81 82 83 84 85 86 87 monotonicity yes no no yes yes yes/no yes criterion80 prepared by FairVote: The Center for voting and Democracy (April 2009). References Austen-Smith, David, and Jeffrey Banks (1991). “Monotonicity in Electoral Systems”. American Political Science Review, Vol. 85, No. 2 (June): 531-537. Brewer, Albert P. (1993). “First- and Secon-Choice Votes in Alabama”. The Alabama Review, A Quarterly Review of Alabama History, Vol. ?? (April): ?? - ?? Burgin, Maggie (1931). The Direct Primary System in Alabama. -
Plurality Voting Under Uncertainty
Proceedings of the Twenty-Fourth International Joint Conference on Artificial Intelligence (IJCAI 2015) Plurality Voting under Uncertainty Reshef Meir Harvard University Abstract vote. Moreover, even for a given belief there may be sev- eral different actions that can be justified as rational. Hence Understanding the nature of strategic voting is the holy grail any model of voting behavior and equilibrium must state ex- of social choice theory, where game-theory, social science plicitly its epistemic and behavioral assumptions. and recently computational approaches are all applied in or- der to model the incentives and behavior of voters. In a recent A simple starting point would be to apply some “stan- paper, Meir et al. (2014) made another step in this direction, dard” assumptions from game-theory, for example that vot- by suggesting a behavioral game-theoretic model for voters ers play a Nash equilibrium of the game induced by their under uncertainty. For a specific variation of best-response preferences. However, such a prediction turns out to be very heuristics, they proved initial existence and convergence re- uninformative: a single voter can rarely affect the outcome, sults in the Plurality voting system. and thus almost any way the voters vote is a Nash equilib- This paper extends the model in multiple directions, consid- rium (including, for example, when all voters vote for their ering voters with different uncertainty levels, simultaneous least preferred candidate). It is therefore natural to consider strategic decisions, and a more permissive notion of best- the role of uncertainty in voters’ decisions. response. It is proved that a voting equilibrium exists even in the most general case. -
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. -
Preference Schedule, Plurality, Condorcet Criterion, Instant Runoff Voting
Day 1: Day 1: Preference Schedule, Plurality, Condorcet criterion, Instant Runoff Voting Voting Theory: In many decision making situations, it is necessary to gather the group consensus. This happens when a group of friends decides which movie to watch, when a company decides which product design to manufacture, and when a democratic country elects its leaders. Preference ballot: A preference ballot is a ballot in which the voter ranks the choices in order of preference. A traditional ballot usually asks you to pick your favorite from a list of choices. This ballot fails to provide any information on how a voter would rank the alternatives if their first choice was unsuccessful. Ex1) A vacation club is trying to decide which destination to visit this year: Hawaii (H), Orlando (O), or Anaheim (A). Their votes are shown below: preference schedule: These individual ballots are typically combined into one preference schedule, which shows the number of voters in the top row that voted for each option: 1 3 3 3 1st choice A A O H 2nd choice O H H A 3rd choice H O A O Plurality Method: In this method, the choice with the most first-preference votes is declared the winner. Ties are possible, and would have to be settled through some sort of run-off vote. The voting method we’re most familiar with is the plurality method. For the plurality method, we only care about the first choice options. Totaling them up: A: Anaheim: 1+3 = 4 first-choice votes O: Orlando: 3 first-choice votes H: Hawaii: 3 first-choice votes Anaheim is the winner using the plurality voting method. -
Getting It in Proportion?
Getting it in Proportion? Trade unions and electoral reform Contents Foreword 4 1 Introduction and background 6 2 Is there a case for change? 9 3 Different electoral systems 17 4 The practicalities of change 23 5 Conclusion 25 6 Voices on electoral reform 27 References 29 2 TOUCHSTONE EXTRAS Getting it in Proportion? This report has been prepared by the TUC as a discussion paper for the trade union movement. Getting it in Proportion? This Touchstone Extra pamphlet sets out the arguments for and against changing Britain’s electoral system. It puts the debate in context by summarising the political and historical background against which our democracy has developed, examines how well the existing system works and looks at possible reasons for change. It describes the various alternative electoral systems, discusses the practicalities of change and concludes with a useful comparison of different systems and their advantages and disadvantages. It is not intended to draw any final conclusion about whether or not electoral reform is needed, but rather to be used as a starting point for further debate. Touchstone Extra These new online pamphlets are designed to complement the TUC’s influential Touchstone Pamphlets by looking in more detail at specific areas of policy debate raised in the series. Touchstone Extra publications are not statements of TUC policy but instead are designed, like the wider Touchstone Pamphlets series, to inform and stimulate debate. The full series can be downloaded at www.tuc.org.uk/touchstonepamphlets TOUCHSTONE EXTRAS Getting it in Proportion? 3 Foreword Brendan Barber At our 2009 Congress, delegates voted in support of a motion calling on the TUC to stimulate debate about electoral reform for Westminster elections. -
Incentivising Participation in Liquid Democracy with Breadth-First Delegation
King’s Research Portal Document Version Peer reviewed version Link to publication record in King's Research Portal Citation for published version (APA): Kotsialou, G., & Riley, L. (Accepted/In press). Incentivising Participation in Liquid Democracy with Breadth-First Delegation . In International Conference on Autonomous Agents and Multi-Agent Systems 2020: Social Choice and Cooperative Game Theory Citing this paper Please note that where the full-text provided on King's Research Portal is the Author Accepted Manuscript or Post-Print version this may differ from the final Published version. If citing, it is advised that you check and use the publisher's definitive version for pagination, volume/issue, and date of publication details. And where the final published version is provided on the Research Portal, if citing you are again advised to check the publisher's website for any subsequent corrections. General rights Copyright and moral rights for the publications made accessible in the Research Portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognize and abide by the legal requirements associated with these rights. •Users may download and print one copy of any publication from the Research Portal for the purpose of private study or research. •You may not further distribute the material or use it for any profit-making activity or commercial gain •You may freely distribute the URL identifying the publication in the Research Portal Take down policy If you believe that this document breaches copyright please contact [email protected] providing details, and we will remove access to the work immediately and investigate your claim. -
The Politico's Guide to Electoral Reform in Britain
Patrick Dunleavy, Helen Margetts and Stuart Weir The Politico's guide to electoral reform in Britain Book section Original citation: Originally published in Dunleavy, Patrick, Margetts, Helen and Weir, Stuart (1998) The Politico's guide to electoral reform in Britain. Politico's Publishing, London, UK. ISBN 190230120X © Democratic Audit This version available at: http://eprints.lse.ac.uk/62253/ Available in LSE Research Online: June 2015 LSE has developed LSE Research Online so that users may access research output of the School. Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Users may download and/or print one copy of any article(s) in LSE Research Online to facilitate their private study or for non-commercial research. You may not engage in further distribution of the material or use it for any profit-making activities or any commercial gain. You may freely distribute the URL (http://eprints.lse.ac.uk) of the LSE Research Online website. the Guide to ELECTORAL REFORM in Britain Patrick Dunleavy, Helen Margetts and Stuart Weir First published in Great Britain 1998 by Politico’s Publishing 8 Artillery Row London SW1P 1RZ England Telephone 0171 931 0090 Email [email protected] Website http://www.politicos.co.uk Copyright Patrick Dunleavy, Helen Margetts and Stuart Weir 1998 The right of Patrick Dunleavy, Helen Margetts and Stuart Weir to be identified as authors of this work has been asserted by them in accordance with the Copyright, Design and Patents Act 1988 A catalogue record for this book is available from the British library ISBN 190230120X Printed and bound in Great Britain by Colourworks Typesetting and cover design by Tony Garrett All rights reserved. -
Coalition Government and Constitutional Reform in the United Kingdom
This is a repository copy of Inaction and Reaction – Coalition Government and Constitutional Reform in the United Kingdom. White Rose Research Online URL for this paper: http://eprints.whiterose.ac.uk/87072/ Version: Accepted Version Article: Matthews, F. (2015) Inaction and Reaction – Coalition Government and Constitutional Reform in the United Kingdom. British Politics. ISSN 1746-9198 https://doi.org/10.1057/bp.2015.34 “This is a post-peer-review, pre-copyedit version of an article published in British Politics. The definitive publisher-authenticated version Matthews, F. (2015) Inaction and Reaction – Coalition Government and Constitutional Reform in the United Kingdom. British Politics is available online at: http://dx.doi.org/10.1057/bp.2015.34 Reuse Unless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version - refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher’s website. Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing [email protected] including the URL of the record and the reason for the withdrawal request. [email protected] https://eprints.whiterose.ac.uk/ Inaction and Reaction – Coalition Government and Constitutional Reform in the United Kingdom Felicity Matthews Department of Politics University of Sheffield Sheffield, S10 2TU [email protected] Abstract Constitutional reform in the United Kingdom is a story frequently framed around the narratives of missed opportunities, executive intransigence and institutional stickiness.