Evaluating Voting Systems with Probability Models

Evaluating Voting Systems with Probability Models
Author: Mostapha Diss
Publisher: Springer Nature
Total Pages: 412
Release: 2020-12-18
Genre: Business & Economics
ISBN: 3030485986

This book includes up-to-date contributions in the broadly defined area of probabilistic analysis of voting rules and decision mechanisms. Featuring papers from all fields of social choice and game theory, it presents probability arguments to allow readers to gain a better understanding of the properties of decision rules and of the functioning of modern democracies. In particular, it focuses on the legacy of William Gehrlein and Dominique Lepelley, two prominent scholars who have made important contributions to this field over the last fifty years. It covers a range of topics, including (but not limited to) computational and technical aspects of probability approaches, evaluation of the likelihood of voting paradoxes, power indices, empirical evaluations of voting rules, models of voters’ behavior, and strategic voting. The book gathers articles written in honor of Gehrlein and Lepelley along with original works written by the two scholars themselves.

Evaluating Voting Systems with Probability Models

Evaluating Voting Systems with Probability Models
Author: Mostapha Diss
Publisher:
Total Pages: 0
Release: 2021
Genre:
ISBN: 9783030485993

This book includes up-to-date contributions in the broadly defined area of probabilistic analysis of voting rules and decision mechanisms. Featuring papers from all fields of social choice and game theory, it presents probability arguments to allow readers to gain a better understanding of the properties of decision rules and of the functioning of modern democracies. In particular, it focuses on the legacy of William Gehrlein and Dominique Lepelley, two prominent scholars who have made important contributions to this field over the last fifty years. It covers a range of topics, including (but not limited to) computational and technical aspects of probability approaches, evaluation of the likelihood of voting paradoxes, power indices, empirical evaluations of voting rules, models of voters' behavior, and strategic voting. The book gathers articles written in honor of Gehrlein and Lepelley along with original works written by the two scholars themselves.

Probability Models and Statistical Analyses for Ranking Data

Probability Models and Statistical Analyses for Ranking Data
Author: Michael A. Fligner
Publisher: Springer Science & Business Media
Total Pages: 330
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461227380

In June of 1990, a conference was held on Probablity Models and Statisti cal Analyses for Ranking Data, under the joint auspices of the American Mathematical Society, the Institute for Mathematical Statistics, and the Society of Industrial and Applied Mathematicians. The conference took place at the University of Massachusetts, Amherst, and was attended by 36 participants, including statisticians, mathematicians, psychologists and sociologists from the United States, Canada, Israel, Italy, and The Nether lands. There were 18 presentations on a wide variety of topics involving ranking data. This volume is a collection of 14 of these presentations, as well as 5 miscellaneous papers that were contributed by conference participants. We would like to thank Carole Kohanski, summer program coordinator for the American Mathematical Society, for her assistance in arranging the conference; M. Steigerwald for preparing the manuscripts for publication; Martin Gilchrist at Springer-Verlag for editorial advice; and Persi Diaconis for contributing the Foreword. Special thanks go to the anonymous referees for their careful readings and constructive comments. Finally, we thank the National Science Foundation for their sponsorship of the AMS-IMS-SIAM Joint Summer Programs. Contents Preface vii Conference Participants xiii Foreword xvii 1 Ranking Models with Item Covariates 1 D. E. Critchlow and M. A. Fligner 1. 1 Introduction. . . . . . . . . . . . . . . 1 1. 2 Basic Ranking Models and Their Parameters 2 1. 3 Ranking Models with Covariates 8 1. 4 Estimation 9 1. 5 Example. 11 1. 6 Discussion. 14 1. 7 Appendix . 15 1. 8 References.

Strengthening Electoral Integrity

Strengthening Electoral Integrity
Author: Pippa Norris
Publisher: Cambridge University Press
Total Pages: 391
Release: 2017-08-29
Genre: Political Science
ISBN: 1108508766

Today a general mood of pessimism surrounds Western efforts to strengthen elections and democracy abroad. If elections are often deeply flawed or even broken in many countries around the world, can anything be done to fix them? To counter the prevailing ethos, Pippa Norris presents new evidence for why programs of international electoral assistance work. She evaluates the effectiveness of several practical remedies, including efforts designed to reform electoral laws, strengthen women's representation, build effective electoral management bodies, promote balanced campaign communications, regulate political money, and improve voter registration. Pippa Norris argues that it would be a tragedy to undermine progress by withdrawing from international engagement. Instead, the international community needs to learn the lessons of what works best to strengthen electoral integrity, to focus activities and resources upon the most effective programs, and to innovate after a quarter century of efforts to strengthen electoral integrity.

Asking the Right Questions About Electronic Voting

Asking the Right Questions About Electronic Voting
Author: National Research Council
Publisher: National Academies Press
Total Pages: 162
Release: 2006-04-02
Genre: Political Science
ISBN: 0309100240

Many election officials look to electronic voting systems as a means for improving their ability to more effectively conduct and administer elections. At the same time, many information technologists and activists have raised important concerns regarding the security of such systems. Policy makers are caught in the midst of a controversy with both political and technological overtones. The public debate about electronic voting is characterized by a great deal of emotion and rhetoric. Asking the Right Questions About Electronic Voting describes the important questions and issues that election officials, policy makers, and informed citizens should ask about the use of computers and information technology in the electoral processâ€"focusing the debate on technical and policy issues that need resolving. The report finds that while electronic voting systems have improved, federal and state governments have not made the commitment necessary for e-voting to be widely used in future elections. More funding, research, and public education are required if e-voting is to become viable.

The Machinery of Democracy

The Machinery of Democracy
Author: Lawrence D. Norden
Publisher: Academy Chicago Publishers, Limited
Total Pages: 276
Release: 2007
Genre: Political Science
ISBN:

The Brennan Center at NYU convened a high-level task force of voting experts from government, academia, and business to systematically analyze various threats to voting technologies that are widely used across the country today. This book offers specific remedies and countermeasures to identify and protect democratic elections from widespread fraud and sabotage.

The Mathematics of Elections and Voting

The Mathematics of Elections and Voting
Author: W.D. Wallis
Publisher: Springer
Total Pages: 103
Release: 2014-10-08
Genre: Mathematics
ISBN: 3319098101

This title takes an in-depth look at the mathematics in the context of voting and electoral systems, with focus on simple ballots, complex elections, fairness, approval voting, ties, fair and unfair voting, and manipulation techniques. The exposition opens with a sketch of the mathematics behind the various methods used in conducting elections. The reader is lead to a comprehensive picture of the theoretical background of mathematics and elections through an analysis of Condorcet’s Principle and Arrow’s Theorem of conditions in electoral fairness. Further detailed discussion of various related topics include: methods of manipulating the outcome of an election, amendments, and voting on small committees. In recent years, electoral theory has been introduced into lower-level mathematics courses, as a way to illustrate the role of mathematics in our everyday life. Few books have studied voting and elections from a more formal mathematical viewpoint. This text will be useful to those who teach lower level courses or special topics courses and aims to inspire students to understand the more advanced mathematics of the topic. The exercises in this text are ideal for upper undergraduate and early graduate students, as well as those with a keen interest in the mathematics behind voting and elections.

Introduction to Probability

Introduction to Probability
Author: Joseph K. Blitzstein
Publisher: CRC Press
Total Pages: 599
Release: 2014-07-24
Genre: Mathematics
ISBN: 1466575573

Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.

Spatial Models of Parliamentary Voting

Spatial Models of Parliamentary Voting
Author: Keith T. Poole
Publisher: Cambridge University Press
Total Pages: 252
Release: 2005-04-11
Genre: Political Science
ISBN: 9781139446754

This book presents a simple geometric model of voting as a tool to analyze parliamentary roll call data. Each legislator is represented by one point and each roll call is represented by two points that correspond to the policy consequences of voting Yea or Nay. On every roll call each legislator votes for the closer outcome point, at least probabilistically. These points form a spatial map that summarizes the roll calls. In this sense a spatial map is much like a road map because it visually depicts the political world of a legislature. The closeness of two legislators on the map shows how similar their voting records are, and the distribution of legislators shows what the dimensions are. These maps can be used to study a wide variety of topics including how political parties evolve over time, the existence of sophisticated voting and how an executive influences legislative outcomes.

Handbook of Group Decision and Negotiation

Handbook of Group Decision and Negotiation
Author: D. Marc Kilgour
Publisher: Springer Science & Business Media
Total Pages: 473
Release: 2010-08-02
Genre: Mathematics
ISBN: 9048190975

Publication of the Handbook of Group Decision and Negotiation marks a milestone in the evolution of the group decision and negotiation (GDN) eld. On this occasion, editors Colin Eden and Marc Kilgour asked me to write a brief history of the eld to provide background and context for the volume. They said that I am in a good position to do so: Actively involved in creating the GDN Section and serving as its chair; founding and leading the GDN journal, Group Decision and Negotiation as editor-in-chief, and the book series, “Advances in Group Decision and Negotiation” as editor; and serving as general chair of the GDN annual meetings. I accepted their invitation to write a brief history. In 1989 what is now the Institute for Operations Research and the Management Sciences (INFORMS) established its Section on Group Decision and Negotiation. The journal Group Decision and Negotiation was founded in 1992, published by Springer in cooperation with INFORMS and the GDN Section. In 2003, as an ext- sion of the journal, the Springer book series, “Advances in Group Decision and Negotiation” was inaugurated.