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Mathematical Theory Of Democracy


Mathematical Theory Of Democracy
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Mathematical Theory Of Democracy


Mathematical Theory Of Democracy
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Author : Andranik Tangian
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-07-31

Mathematical Theory Of Democracy written by Andranik Tangian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-31 with Business & Economics categories.


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.



Mathematics And Democracy


Mathematics And Democracy
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Author : Steven J. Brams
language : en
Publisher: Princeton University Press
Release Date : 2009-12-02

Mathematics And Democracy written by Steven J. Brams and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-02 with Science categories.


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
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Author : Andranik Tangian
language : en
Publisher: Springer
Release Date : 2013-09-14

Mathematical Theory Of Democracy written by Andranik Tangian and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-14 with Business & Economics categories.


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.



Numbers Rule


Numbers Rule
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Author : George Szpiro
language : en
Publisher: Princeton University Press
Release Date : 2010-03-15

Numbers Rule written by George Szpiro and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-15 with Mathematics categories.


A lively history of the peculiar math of voting Since the very birth of democracy in ancient Greece, the simple act of voting has given rise to mathematical paradoxes that have puzzled some of the greatest philosophers, statesmen, and mathematicians. Numbers Rule traces the epic quest by these thinkers to create a more perfect democracy and adapt to the ever-changing demands that each new generation places on our democratic institutions. In a sweeping narrative that combines history, biography, and mathematics, George Szpiro details the fascinating lives and big ideas of great minds such as Plato, Pliny the Younger, Ramon Llull, Pierre Simon Laplace, Thomas Jefferson, Alexander Hamilton, John von Neumann, and Kenneth Arrow, among many others. Each chapter in this riveting book tells the story of one or more of these visionaries and the problem they sought to overcome, like the Marquis de Condorcet, the eighteenth-century French nobleman who demonstrated that a majority vote in an election might not necessarily result in a clear winner. Szpiro takes readers from ancient Greece and Rome to medieval Europe, from the founding of the American republic and the French Revolution to today's high-stakes elective politics. He explains how mathematical paradoxes and enigmas can crop up in virtually any voting arena, from electing a class president, a pope, or prime minister to the apportionment of seats in Congress. Numbers Rule describes the trials and triumphs of the thinkers down through the ages who have dared the odds in pursuit of a just and equitable democracy.



An Epistemic Theory Of Democracy


An Epistemic Theory Of Democracy
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Author : Robert E. Goodin
language : en
Publisher: Oxford University Press
Release Date : 2018

An Epistemic Theory Of Democracy written by Robert E. Goodin and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Philosophy categories.


Democracy has many attractive features. Among them is its tendency to track the truth, at least under certain idealized assumptions. That basic result has been known since 1785, when Condorcet published his famous jury theorem. But that theorem has typically been dismissed as little more than a mathematical curiosity, with assumptions too restrictive for it to apply to the real world. In An Epistemic Theory of Democracy, Goodin and Spiekermann propose different ways of interpreting voter independence and competence to make jury theorems more generally applicable. They go on to assess a wide range of familiar political practices and alternative institutional arrangements, to determine what constellation of them might most fully exploit the truth-tracking potential of majoritarian democracy. The book closes with a discussion of how epistemic democracy might be undermined, using as case studies the Trump and Brexit campaigns.



Mathematics And Democracy


Mathematics And Democracy
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Author : Bruno Simeone
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-09

Mathematics And Democracy written by Bruno Simeone and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-09 with Business & Economics categories.


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.



Analytical Theory Of Democracy


Analytical Theory Of Democracy
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Author : Andranik Tangian
language : en
Publisher: Springer Nature
Release Date : 2020-03-30

Analytical Theory Of Democracy written by Andranik Tangian and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-30 with Business & Economics categories.


This book operationalizes the idea of political representation, which is fundamental to modern democracies. Both individual representatives and representative bodies are evaluated using the indices of popularity (the average percentage of the population whose opinion is represented on topical policy issues) and universality (the percentage of issues for which the prevailing public opinion is represented). Viewed as objective functions, these indices can aid in the search for optimal representatives and representative bodies. By replacing the consistency analysis of the social choice axioms with the calculation of the best compromises, the paradoxes of social choice, such as those of Condorcet and Arrow, can be overcome. These indices also form the core of an alternative election method that is aimed at enhancing policy representation — a recent concept of political representation, which is not supported by the conventional voting systems shaped during the American and French Revolutions. This method is tested in a series of election experiments that focus on implementation details. In addition, non-societal applications such as MCDM, finance or traffic control are considered, where the objects that reflect the properties or behavior of other objects are regarded as their “representatives.” Given its scope, the book will appeal to political scientists, economists and operations researchers, as well as to politicians interested in improving democratic performance and electoral system design.



Mathematics And Politics


Mathematics And Politics
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Author : Alan D. Taylor
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-29

Mathematics And Politics written by Alan D. Taylor and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-29 with Social Science categories.


As a text for an undergraduate mathematics course for nonmajors, Mathematics and Politics requires no prerequisites in either area while the underlying philosophy involves minimizing algebraic computations and focusing instead on some conceptual aspects of mathematics in the context of important real-world questions in political science. Five major topics are covered including a model of escalation, game theoretic models of international conflict, yes-no voting systems, political power, and social choice. Each topic is discussed in an introductory chapter and revisited in more depth in a later chapter. This new edition has added co-author, Allison Pacelli, and two new chapters on "Fairness" and "More Fairness." The examples and the exercises have been updated and enhanced throughout. Reviews from first edition: This book is well written and has much math of interest. While it is pitched at a non-math audience there is material here that will be new and interesting to the readers... -Sigact News For mathematicians, Taylor's book shows how the social sciences make use of mathematical thinking, in the form of axiomatic systems, and offers a chance to teach this kind of thinking to our students. - The College Mathematics Journal The writing is crisp and the sense of excitement about learning mathematics is seductive. The political conflict examples are well thought out and clear. -Michael C. Munger



Global Democracy


Global Democracy
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Author : Daniele Archibugi
language : en
Publisher: Cambridge University Press
Release Date : 2011-10-27

Global Democracy written by Daniele Archibugi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-27 with Political Science categories.


Democracy is increasingly seen as the only legitimate form of government, but few people would regard international relations as governed according to democratic principles. Can this lack of global democracy be justified? Which models of global politics should contemporary democrats endorse and which should they reject? What are the most promising pathways to global democratic change? To what extent does the extension of democracy from the national to the international level require a radical rethinking of what democratic institutions should be? This book answers these questions by providing a sustained dialogue between scholars of political theory, international law and empirical social science. By presenting a broad range of views by prominent scholars, it offers an in-depth analysis of one of the key challenges of our century: globalizing democracy and democratizing globalization.



Weapons Of Math Destruction


Weapons Of Math Destruction
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Author : Cathy O'Neil
language : en
Publisher: Crown
Release Date : 2016-09-06

Weapons Of Math Destruction written by Cathy O'Neil and has been published by Crown this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-06 with Political Science categories.


NEW YORK TIMES BESTSELLER • A former Wall Street quant sounds the alarm on Big Data and the mathematical models that threaten to rip apart our social fabric—with a new afterword “A manual for the twenty-first-century citizen . . . relevant and urgent.”—Financial Times NATIONAL BOOK AWARD LONGLIST • NAMED ONE OF THE BEST BOOKS OF THE YEAR BY The New York Times Book Review • The Boston Globe • Wired • Fortune • Kirkus Reviews • The Guardian • Nature • On Point We live in the age of the algorithm. Increasingly, the decisions that affect our lives—where we go to school, whether we can get a job or a loan, how much we pay for health insurance—are being made not by humans, but by machines. In theory, this should lead to greater fairness: Everyone is judged according to the same rules. But as mathematician and data scientist Cathy O’Neil reveals, the mathematical models being used today are unregulated and uncontestable, even when they’re wrong. Most troubling, they reinforce discrimination—propping up the lucky, punishing the downtrodden, and undermining our democracy in the process. Welcome to the dark side of Big Data.