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Author: Donald G. Saari
Publisher: Springer Science & Business Media
ISBN: 9783540600640
Category : Business & Economics
Languages : en
Pages : 324
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Book Description
Amazingly, the complexities of voting theory can be explained and resolved with comfortable geometry. A geometry which unifies such seemingly disparate topics as manipulation, monotonicity, and even the apportionment issues of the US Supreme Court. Although directed mainly toward students and others wishing to learn about voting, experts will discover here many previously unpublished results. As an example, a new profile decomposition quickly resolves the age-old controversies of Condorcet and Borda, demonstrates that the rankings of pairwise and other methods differ because they rely on different information, casts serious doubt on the reliability of a Condorcet winner as a standard for the field, makes the famous Arrow's Theorem predictable, and simplifies the construction of examples.
Author: Donald G. Saari
Publisher: Springer Science & Business Media
ISBN: 9783540600640
Category : Business & Economics
Languages : en
Pages : 324
Get Book Here
Book Description
Amazingly, the complexities of voting theory can be explained and resolved with comfortable geometry. A geometry which unifies such seemingly disparate topics as manipulation, monotonicity, and even the apportionment issues of the US Supreme Court. Although directed mainly toward students and others wishing to learn about voting, experts will discover here many previously unpublished results. As an example, a new profile decomposition quickly resolves the age-old controversies of Condorcet and Borda, demonstrates that the rankings of pairwise and other methods differ because they rely on different information, casts serious doubt on the reliability of a Condorcet winner as a standard for the field, makes the famous Arrow's Theorem predictable, and simplifies the construction of examples.
Author: Donald G. Saari
Publisher: Springer Science & Business Media
ISBN: 3642577482
Category : Business & Economics
Languages : en
Pages : 308
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Book Description
Amazingly, the complexities of voting theory can be explained and resolved with comfortable geometry. A geometry which unifies such seemingly disparate topics as manipulation, monotonicity, and even the apportionment issues of the US Supreme Court. Although directed mainly toward students and others wishing to learn about voting, experts will discover here many previously unpublished results. As an example, a new profile decomposition quickly resolves the age-old controversies of Condorcet and Borda, demonstrates that the rankings of pairwise and other methods differ because they rely on different information, casts serious doubt on the reliability of a Condorcet winner as a standard for the field, makes the famous Arrow's Theorem predictable, and simplifies the construction of examples.
Author: Jonathan K. Hodge
Publisher: American Mathematical Soc.
ISBN: 1470442876
Category : Mathematics
Languages : en
Pages : 255
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Book Description
The Mathematics of Voting and Elections: A Hands-On Approach, Second Edition, is an inquiry-based approach to the mathematics of politics and social choice. The aim of the book is to give readers who might not normally choose to engage with mathematics recreationally the chance to discover some interesting mathematical ideas from within a familiar context, and to see the applicability of mathematics to real-world situations. Through this process, readers should improve their critical thinking and problem solving skills, as well as broaden their views of what mathematics really is and how it can be used in unexpected ways. The book was written specifically for non-mathematical audiences and requires virtually no mathematical prerequisites beyond basic arithmetic. At the same time, the questions included are designed to challenge both mathematical and non-mathematical audiences alike. More than giving the right answers, this book asks the right questions. The book is fun to read, with examples that are not just thought-provoking, but also entertaining. It is written in a style that is casual without being condescending. But the discovery-based approach of the book also forces readers to play an active role in their learning, which should lead to a sense of ownership of the main ideas in the book. And while the book provides answers to some of the important questions in the field of mathematical voting theory, it also leads readers to discover new questions and ways to approach them. In addition to making small improvements in all the chapters, this second edition contains several new chapters. Of particular interest might be Chapter 12 which covers a host of topics related to gerrymandering.
Author: Iain S. McLean
Publisher: Springer Science & Business Media
ISBN: 9401148600
Category : Political Science
Languages : en
Pages : 492
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Book Description
R. H. Coase Duncan Black was a close and dear friend. A man of great simplicity, un worldly, modest, diffident, with no pretensions, he was devoted to scholarship. In his single-minded search for the truth, he is an example to us all. Black's first degree at the University of Glasgow was in mathematics and physics. Mathematics as taught at Glasgow seems to have been designed for engineers and did not excite him and he switched to economics, which he found more congenial. But it was not in a lecture in economics but in one on politics that he found his star. One lecturer, A. K. White, discussed the possibility of constructing a pure science of politics. This question caught his imagination, perhaps because of his earlier training in physics, and it came to absorb his thoughts for the rest of his life. But almost certainly nothing would have come of it were it not for his appointment to the newly formed Dundee School of Economics where the rest of the. teaching staff came from the London School of Economics. At Glasgow, economics, as in the time of Adam Smith, was linked with moral philosophy. At Dundee, Black was introduced to the analytical x The Theory o/Committees and Elections approach dominant at the London School of Economics. This gave him the approach he used in his attempt to construct a pure science of politics.
Author: Donald Saari
Publisher: Cambridge University Press
ISBN: 9780521004046
Category : Business & Economics
Languages : en
Pages : 258
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Book Description
It is not uncommon to be frustrated by the outcome of an election or a decision in voting, law, economics, engineering, and other fields. Does this 'bad' result reflect poor data or poorly informed voters? Or does the disturbing conclusion reflect the choice of the decision/election procedure? Nobel Laureate Kenneth Arrow's famed theorem has been interpreted to mean 'no decision procedure is without flaws'. Similarly, Nobel Laureate Amartya Sen dashes hope for individual liberties by showing their incompatibility with societal needs. This highly accessible book offers a new, different interpretation and resolution of Arrow's and Sen's theorems. Using simple mathematics, it shows that these negative conclusions arise because, in each case, some of their assumptions negate other crucial assumptions. Once this is understood, not only do the conclusions become expected, but a wide class of other phenomena can also be anticipated.
Author: Dmitri Asonov
Publisher: Springer
ISBN: 3540277706
Category : Language Arts & Disciplines
Languages : en
Pages : 122
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Book Description
The Internet and the World Wide Web (WWW) play an increasingly imp- tant role in our today's activities. More and more we use the Web to buy goods and to inform ourselves about cultural, political, economical, medical, and scienti?c developments. For example, accessing?ight schedules, me- cal data, or retrieving stock information become common practice in today's world. Many people assume that there is no one who "watches" them when accessing this data. However, sensitive userswho accesselectronic shops(e-shops) might have observedthat this assumptionoften isnot true. In many cases, E-shopstrack the users'"accessbehavior"when browsingthe Web pagesof the e-shopthus deriving "accesspatterns" for individual shoppers. Therefore, this knowledge on access behavior and access patters allows the system to tailor access to Webpagesforthatusertohis/herspeci?cneedsinthefuture. Thistrackingof usersmightbeconsideredharmlessand"acceptable"inmanycases. However, in cases when this information is used to harm a person - for example about the person's health problems - or to violate his/her privacy (for example?nding out about his/her?nancial situation), he/she would like to be sure that such tracking is impossible to protect the user's rights
Author: Kenneth J. Arrow
Publisher: Elsevier
ISBN: 0080929826
Category : Business & Economics
Languages : en
Pages : 985
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Book Description
This second part of a two-volume set continues to describe economists' efforts to quantify the social decisions people necessarily make and the philosophies that those choices define. Contributors draw on lessons from philosophy, history, and other disciplines, but they ultimately use editor Kenneth Arrow's seminal work on social choice as a jumping-off point for discussing ways to incentivize, punish, and distribute goods. - Develops many subjects from Volume 1 (2002) while introducing new themes in welfare economics and social choice theory - Features four sections: Foundations, Developments of the Basic Arrovian Schemes, Fairness and Rights, and Voting and Manipulation - Appeals to readers who seek introductions to writings on human well-being and collective decision-making - Presents a spectrum of material, from initial insights and basic functions to important variations on basic schemes
Author: Murat R. Sertel
Publisher: Springer Science & Business Media
ISBN: 9783540002673
Category : Business & Economics
Languages : en
Pages : 480
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Book Description
Some of the finest and most recent research in economic and political design is presented. Among the authors are several prominent academics as well as many new and promising researchers. They investigate social choice and electoral systems, auctions, matching, bargaining, coalitional stability and efficiency, regulation, the design of rights, mechanisms, games, hierarchies and information. The book is bound to become a standard reference as a collection displaying where we are and where we are going in a broad spectrum of areas in economic design.
Author: Gerry Mackie
Publisher: Cambridge University Press
ISBN: 9780521534314
Category : Business & Economics
Languages : en
Pages : 508
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Book Description
Table of contents
Author: Hemanshu Kaul
Publisher: World Scientific
ISBN: 9814465461
Category : Mathematics
Languages : en
Pages : 273
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Book Description
In the past 50 years, discrete mathematics has developed as a far-reaching and popular language for modeling fundamental problems in computer science, biology, sociology, operations research, economics, engineering, etc. The same model may appear in different guises, or a variety of models may have enough similarities such that same ideas and techniques can be applied in diverse applications.This book focuses on fields such as consensus and voting theory, clustering, location theory, mathematical biology, and optimization that have seen an upsurge of new and exciting works over the past two decades using discrete models in modern applications. Featuring survey articles written by experts in these fields, the articles emphasize the interconnectedness of the mathematical models and techniques used in various areas, and elucidate the possibilities for future interdisciplinary research. Additionally, this book discusses recent advances in the fields, highlighting the approach of cross-fertilization of ideas across disciplines.
