Mathematical Approaches to Understanding Democracy: Emerging Research and Opportunities

Mathematical Approaches to Understanding Democracy: Emerging Research and Opportunities PDF

Author: Arteta, Alberto

Publisher: IGI Global

Published: 2018-12-07

Total Pages: 148

ISBN-13: 1522575596

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The democratic system is understood and accepted as the fairest form of government in Western countries. Nevertheless, citizens tend to critique their democratically elected rulers. Mathematical Approaches to Understanding Democracy: Emerging Research and Opportunities is an essential reference source that provides an analysis on the global political systems and provides insight on how to optimize government capabilities, citizen engagement, and educational systems. Using statistical concepts, it proposes algorithmic solutions to detect problems and provide improvement on democratic and non-democratic societies. Featuring research on topics such as political negligence, voter knowledge, political corruption, and democratic training, this book is ideally designed for governmental officials, policymakers, educators, statisticians, academicians, and researchers.

Mathematics to the Rescue of Democracy

Mathematics to the Rescue of Democracy PDF

Author: Paolo Serafini

Publisher: Springer Nature

Published: 2020-03-02

Total Pages: 138

ISBN-13: 3030383687

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This book explains, in a straightforward way, the foundations upon which electoral techniques are based in order to shed new light on what we actually do when we vote. The intention is to highlight the fact that no matter how an electoral system has been designed, and regardless of the intentions of those who devised the system, there will be goals that are impossible to achieve but also opportunities for improving the situation in an informed way. While detailed descriptions of electoral systems are not provided, many references are made to current or past situations, both as examples and to underline particular problems and shortcomings. In addition, a new voting method that avoids the many paradoxes of voting theory is described in detail. While some knowledge of mathematics is required in order to gain the most from the book, every effort has been made to ensure that the subject matter is easily accessible for non-mathematicians, too. In short, this is a book for anyone who wants to understand the meaning of voting.

Mathematics and Democracy

Mathematics and Democracy PDF

Author: Steven J. Brams

Publisher: Princeton University Press

Published: 2009-12-02

Total Pages: 390

ISBN-13: 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.

Mathematical Theory of Democracy

Mathematical Theory of Democracy PDF

Author: Andranik Tangian

Publisher: Springer Science & Business Media

Published: 2013-07-31

Total Pages: 629

ISBN-13: 3642387241

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The mathematical theory of democracy deals with selection of representatives who make decisions on behalf of the whole society. In this book, the notion of representativeness is operationalized with the index of popularity (the average percentage of the population whose opinion is represented on a number of issues) and the index of universality (the frequency of cases when the opinion of a majority is represented). These indices are applied to evaluate and study the properties of single representatives (e.g. president) and representative bodies (e.g. parliament, magistrate, cabinet, jury, coalition). To bridge representative and direct democracy, an election method is proposed that is based not on voting but on indexing candidates with respect to the electorate’s political profile. In addition, societal and non-societal applications are considered.

Weapons of Math Destruction

Weapons of Math Destruction PDF

Author: Cathy O'Neil

Publisher: Crown Publishing Group (NY)

Published: 2016

Total Pages: 274

ISBN-13: 0553418815

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"A former Wall Street quantitative analyst sounds an alarm on mathematical modeling, a pervasive new force in society that threatens to undermine democracy and widen inequality,"--NoveList.

Numbers Rule

Numbers Rule PDF

Author: George Szpiro

Publisher: Princeton University Press

Published: 2020-11-03

Total Pages: 240

ISBN-13: 0691209081

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The author takes the general reader on a tour of the mathematical puzzles and paradoxes inherent in voting systems, such as the Alabama Paradox, in which an increase in the number of seats in the Congress could actually lead to a reduced number of representatives for a state, and the Condorcet Paradox, which demonstrates that the winner of elections featuring more than two candidates does not necessarily reflect majority preferences. Szpiro takes a roughly chronological approach to the topic, traveling from ancient Greece to the present and, in addition to offering explanations of the various mathematical conundrums of elections and voting, also offers biographical details on the mathematicians and other thinkers who thought about them, including Plato, Pliny the Younger, Pierre Simon Laplace, Thomas Jefferson, John von Neumann, and Kenneth Arrow.

Education, Equity, Economy: Crafting a New Intersection

Education, Equity, Economy: Crafting a New Intersection PDF

Author: George W. Noblit

Publisher: Springer

Published: 2015-11-17

Total Pages: 237

ISBN-13: 3319216449

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This volume will introduce the readers to an alternative nexus of education, equity and economy, pointing to economies and educations that promote a less stratified and exploitive world, and as the chapter authors demonstrate, this view has a wide range of applications, from technology, mathematics, to environmental catastrophes and indigenous cultures. This first volume in the new book series not only introduces the series itself, but also several authors whose chapters that appear here presage the in-depth analysis that will be offered by their volumes in the series. Education is invoked repeatedly in the ‘class warfare’ that pits the population against the elites as the investment that makes the difference, in terms of both policy and individual commitment, in the economy. The economy in this scenario is competitive, accumulative, exploitive and stratifying, implying education should mirror this and prepare people to fit this economy. However, education has other historic goals of developing common cultures, national identities, and civic engagement that belie this form of economic determinism. This volume and the series will explore this new nexus of economy and education with equity.

Democracy and Mathematics Education

Democracy and Mathematics Education PDF

Author: Kurt Stemhagen

Publisher: Routledge

Published: 2021-05-06

Total Pages: 239

ISBN-13: 1000378136

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In Democracy and Mathematics Education, Kurt Stemhagen and Catherine Henney develop a way of thinking about the nature and purposes of math that is inclusive, participatory, and thoroughly human. They use these ideas to create a school mathematics experience that can enhance students’ math abilities and democratic potential. They locate mathematics’ origins in human activity and highlight the rich but often overlooked links between mathematical activity and democratic, social practices. Democratic mathematics education foregrounds student inquiry and brings to light the moral dimensions of a discipline that has both remarkable utility and inevitable limitations. For math educators, the book’s humanities approach helps to see the subject anew. For philosophers, it provides an important real world context for wrestling with perennial and timely questions, engaging democratic and evolutionary theory to transform school math. This alternative approach to mathematics and mathematics education provides a guide for how to use math to make democracy a larger part of school and wider social life. 2021 Winner of the AESA Critics’ Choice Book Award.