The Burr Dilemma in Approval Voting

The Burr Dilemma in Approval Voting
Author: Jack H. Nagel
Publisher:
Total Pages: 0
Release: 2007
Genre:
ISBN:

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Problems of multicandidate races in U.S. presidential elections motivated the modern invention and advocacy of approval voting; but it has not previously been recognized that the first four presidential elections (1788-1800) were conducted using a variant of approval voting. That experiment ended disastrously in 1800 with the infamous Electoral College tie between Jefferson and Burr. The tie, this paper shows, resulted less from miscalculation than from a strategic tension built into approval voting, which forces two leaders appealing to the same voters to play a game of Chicken. Because the Burr Dilemma poses a significant difficulty for approval voting, this paper urges that researchers give more attention to instant runoff reform options, especially the alternative vote and the Coombs rule.

Approval Voting

Approval Voting
Author: Guy Ottewell
Publisher: Universal Workshop
Total Pages: 32
Release: 2019-05-28
Genre:
ISBN: 9780934546782

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Approval voting is the system in which you are allowed to vote for more than one. It proves to be more fair than the common system. It is a costless reform, solving the "voter's dilemma" and accurately representing the wishes of the voting population. This short book includes some historical uses of it, and some elections demonstrating the sore need of it.

Approval Voting

Approval Voting
Author: Steven Brams
Publisher: Springer
Total Pages: 200
Release: 2007-02-22
Genre: Mathematics
ISBN: 9780387498959

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This book presents a simple and logical potential electoral reform. Under this system, voters may vote for, or approve of, as many candidates as they like in multicandidate elections. Among the many benefits of approval voting are its propensity to elect the majority candidate, its relative invulnerability to insincere or strategic voting, and a probable increase in voter turnout.

An Experiment in Approval Voting (Classic Reprint)

An Experiment in Approval Voting (Classic Reprint)
Author: Peter C. Fishburn
Publisher: Forgotten Books
Total Pages: 30
Release: 2018-02-22
Genre: Political Science
ISBN: 9780484125369

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Excerpt from An Experiment in Approval Voting Most elections, including those of tims, are conducted by the familiar method of plurality voting. When one person is to be elected, voters are instructed to vote for one from a list of candidates. When more than one position is to be filled from a single list. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Mathematics and Democracy

Mathematics and Democracy
Author: Bruno Simeone
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2007-01-09
Genre: Business & Economics
ISBN: 3540356053

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In this book, different quantitative approaches to the study of electoral systems have been developed: game-theoretic, decision-theoretic, statistical, probabilistic, combinatorial, geometric, and optimization ones. All the authors are prominent scholars from these disciplines. Quantitative approaches offer a powerful tool to detect inconsistencies or poor performance in actual systems. Applications to concrete settings such as EU, American Congress, regional, and committee voting are discussed.

Handbook on Approval Voting

Handbook on Approval Voting
Author: Jean-François Laslier
Publisher: Springer Science & Business Media
Total Pages: 482
Release: 2010-06-25
Genre: Business & Economics
ISBN: 364202839X

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With approval voting, voters can approve of as many candidates as they want, and the one approved by the most voters wins. This book surveys a wide variety of empirical and theoretical knowledge accumulated from years of studying this method of voting.

The Mathematics of Preference, Choice and Order

The Mathematics of Preference, Choice and Order
Author: Steven Brams
Publisher: Springer Science & Business Media
Total Pages: 412
Release: 2009-02-11
Genre: Mathematics
ISBN: 3540791280

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Peter Fishburn has had a splendidly productive career that led to path-breaking c- tributions in a remarkable variety of areas of research. His contributions have been published in a vast literature, ranging through journals of social choice and welfare, decision theory, operations research, economic theory, political science, mathema- cal psychology, and discrete mathematics. This work was done both on an individual basis and with a very long list of coauthors. The contributions that Fishburn made can roughly be divided into three major topical areas, and contributions to each of these areas are identi?ed by sections of this monograph. Section 1 deals with topics that are included in the general areas of utility, preference, individual choice, subjective probability, and measurement t- ory. Section 2 covers social choice theory, voting models, and social welfare. S- tion 3 deals with more purely mathematical topics that are related to combinatorics, graph theory, and ordered sets. The common theme of Fishburn’s contributions to all of these areas is his ability to bring rigorous mathematical analysis to bear on a wide range of dif?cult problems.

Majority Judgment

Majority Judgment
Author: Michel Balinski
Publisher: MIT Press
Total Pages: 431
Release: 2022-06-07
Genre: Political Science
ISBN: 0262545713

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An account of a new theory and method of voting, judging and ranking, majority judgment, shown to be superior to all other known methods. In Majority Judgment, Michel Balinski and Rida Laraki argue that the traditional theory of social choice offers no acceptable solution to the problems of how to elect, to judge, or to rank. They find that the traditional model—transforming the "preference lists" of individuals into a "preference list" of society—is fundamentally flawed in both theory and practice. Balinski and Laraki propose a more realistic model. It leads to an entirely new theory and method—majority judgment—proven superior to all known methods. It is at once meaningful, resists strategic manipulation, elicits honesty, and is not subject to the classical paradoxes encountered in practice, notably Condorcet's and Arrow's. They offer theoretical, practical, and experimental evidence—from national elections to figure skating competitions—to support their arguments. Drawing on insights from wine, sports, music, and other competitions, Balinski and Laraki argue that the question should not be how to transform many individual rankings into a single collective ranking, but rather, after defining a common language of grades to measure merit, how to transform the many individual evaluations of each competitor into a single collective evaluation of all competitors. The crux of the matter is a new model in which the traditional paradigm—to compare—is replaced by a new paradigm—to evaluate.

Mathematics and Democracy

Mathematics and Democracy
Author: Steven J. Brams
Publisher: Princeton University Press
Total Pages: 390
Release: 2009-12-02
Genre: Science
ISBN: 1400835593

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Voters today often desert a preferred candidate for a more viable second choice to avoid wasting their vote. Likewise, parties to a dispute often find themselves unable to agree on a fair division of contested goods. In Mathematics and Democracy, Steven Brams, a leading authority in the use of mathematics to design decision-making processes, shows how social-choice and game theory could make political and social institutions more democratic. Using mathematical analysis, he develops rigorous new procedures that enable voters to better express themselves and that allow disputants to divide goods more fairly. One of the procedures that Brams proposes is "approval voting," which allows voters to vote for as many candidates as they like or consider acceptable. There is no ranking, and the candidate with the most votes wins. The voter no longer has to consider whether a vote for a preferred but less popular candidate might be wasted. In the same vein, Brams puts forward new, more equitable procedures for resolving disputes over divisible and indivisible goods.

Social Choice and Democratic Values

Social Choice and Democratic Values
Author: Eerik Lagerspetz
Publisher: Springer
Total Pages: 448
Release: 2015-11-26
Genre: Philosophy
ISBN: 3319232614

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This book offers a comprehensive overview and critique of the most important political and philosophical interpretations of the basic results of social choice, assessing their plausibility and seeking to identify the links between the theory of social choice and the more traditional issues of political theory and philosophy. In this regard, the author eschews a strong methodological commitment or technical formalism; the approach is instead based on the presentation of political facts and illustrated via numerous real-life examples. This allows the reader to get acquainted with the philosophical and political dispute surrounding voting and collective decision-making and its links to social choice theory.