Electing Legislatures
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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. -
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. -
Document Country: Macedonia Lfes ID: Rol727
Date Printed: 11/06/2008 JTS Box Number: lFES 7 Tab Number: 5 Document Title: Macedonia Final Report, May 2000-March 2002 Document Date: 2002 Document Country: Macedonia lFES ID: ROl727 I I I I I I I I I IFES MISSION STATEMENT I I The purpose of IFES is to provide technical assistance in the promotion of democracy worldwide and to serve as a clearinghouse for information about I democratic development and elections. IFES is dedicated to the success of democracy throughout the world, believing that it is the preferred form of gov I ernment. At the same time, IFES firmly believes that each nation requesting assistance must take into consideration its unique social, cultural, and envi I ronmental influences. The Foundation recognizes that democracy is a dynam ic process with no single blueprint. IFES is nonpartisan, multinational, and inter I disciplinary in its approach. I I I I MAKING DEMOCRACY WORK Macedonia FINAL REPORT May 2000- March 2002 USAID COOPERATIVE AGREEMENT No. EE-A-00-97-00034-00 Submitted to the UNITED STATES AGENCY FOR INTERNATIONAL DEVELOPMENT by the INTERNATIONAL FOUNDATION FOR ELECTION SYSTEMS I I TABLE OF CONTENTS EXECUTNE SUMMARY I I. PROGRAMMATIC ACTNITIES ............................................................................................. 1 A. 2000 Pre Election Technical Assessment 1 I. Background ................................................................................. 1 I 2. Objectives ................................................................................... 1 3. Scope of Mission .........................................................................2 -
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. -
Automated Verification for Functional and Relational Properties of Voting
Automated Verification for Functional and Relational Properties of Voting Rules Bernhard Beckert, Thorsten Bormer, Michael Kirsten, Till Neuber, and Mattias Ulbrich Abstract In this paper, we formalise classes of axiomatic properties for voting rules, discuss their characteristics, and show how symmetry properties can be exploited in the verification of other properties. Following that, we describe how automated verification methods such as software bounded model checking and deductive verification can be used to verify implementations of voting rules. We present a case study, where we use and compare different approaches to verify that plurality voting satisfies the majority and the anonymity property. 1 Introduction Axiomatic definitions of characteristic properties for voting rules are important both for understanding existing voting rules and for designing new ones. For the trustworthiness of elections, it is also important to analyse the algorithmic descriptions of voting rules and to prove that they have the desired properties, i.e., they satisfy the declarative description. There are two classes of voting rule properties, namely (a) functional (absolute) properties, such as the majority criterion, which refer to single voting results, and (b) relational properties, such as anonymity, which are defined by comparing two (or more) results. In this paper, we first formally define these two classes of properties and discuss their characteristics (Section 2). We then show how symmetry properties { which are a particular kind of relational properties { can be exploited to more efficiently verify voting rules w.r.t. other (functional) properties (Section 3). Proving properties of voting rules by hand is tedious and error-prone { in particular, if the rules and properties evolve during design and various versions have to be verified. -
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. -
Crowdsourcing Applications of Voting Theory Daniel Hughart
Crowdsourcing Applications of Voting Theory Daniel Hughart 5/17/2013 Most large scale marketing campaigns which involve consumer participation through voting makes use of plurality voting. In this work, it is questioned whether firms may have incentive to utilize alternative voting systems. Through an analysis of voting criteria, as well as a series of voting systems themselves, it is suggested that though there are no necessarily superior voting systems there are likely enough benefits to alternative systems to encourage their use over plurality voting. Contents Introduction .................................................................................................................................... 3 Assumptions ............................................................................................................................... 6 Voting Criteria .............................................................................................................................. 10 Condorcet ................................................................................................................................. 11 Smith ......................................................................................................................................... 14 Condorcet Loser ........................................................................................................................ 15 Majority ...................................................................................................................................