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Author | : Alan D. Taylor |
Publisher | : Cambridge University Press |
Total Pages | : 191 |
Release | : 2005-05-09 |
Genre | : Business & Economics |
ISBN | : 0521810523 |
Download Social Choice and the Mathematics of Manipulation Book in PDF, ePub and Kindle
Honesty in voting, it turns out, is not always the best policy. Indeed, in the early 1970s, Allan Gibbard and Mark Satterthwaite, building on the seminal work of Nobel laureate Kenneth Arrow, proved that with three or more alternatives there is no reasonable voting system that is non-manipulable; voters will always have an opportunity to benefit by submitting a disingenuous ballot. The ensuing decades produced a number of theorems of striking mathematical naturality that dealt with the manipulability of voting systems. This 2005 book presents many of these results from the last quarter of the twentieth century, especially the contributions of economists and philosophers, from a mathematical point of view, with many new proofs. The presentation is almost completely self-contained, and requires no prerequisites except a willingness to follow rigorous mathematical arguments. Mathematics students, as well as mathematicians, political scientists, economists and philosophers will learn why it is impossible to devise a completely unmanipulable voting system.
Author | : Alan D. Taylor |
Publisher | : |
Total Pages | : |
Release | : 2005 |
Genre | : |
ISBN | : |
Download Social Choice and the Mathematics of Manipulation Book in PDF, ePub and Kindle
Author | : Alan D. Taylor |
Publisher | : Cambridge University Press |
Total Pages | : 196 |
Release | : 2005-05-09 |
Genre | : Business & Economics |
ISBN | : 9780521008839 |
Download Social Choice and the Mathematics of Manipulation Book in PDF, ePub and Kindle
Honesty in voting, it turns out, is not always the best policy. Indeed, in the early 1970s, Allan Gibbard and Mark Satterthwaite, building on the seminal work of Nobel laureate Kenneth Arrow, proved that with three or more alternatives there is no reasonable voting system that is non-manipulable; voters will always have an opportunity to benefit by submitting a disingenuous ballot. The ensuing decades produced a number of theorems of striking mathematical naturality that dealt with the manipulability of voting systems. This 2005 book presents many of these results from the last quarter of the twentieth century, especially the contributions of economists and philosophers, from a mathematical point of view, with many new proofs. The presentation is almost completely self-contained, and requires no prerequisites except a willingness to follow rigorous mathematical arguments. Mathematics students, as well as mathematicians, political scientists, economists and philosophers will learn why it is impossible to devise a completely unmanipulable voting system.
Author | : Christoph Borgers |
Publisher | : SIAM |
Total Pages | : 233 |
Release | : 2010-01-01 |
Genre | : Political Science |
ISBN | : 0898717620 |
Download Mathematics of Social Choice Book in PDF, ePub and Kindle
Mathematics of Social Choice is a fun and accessible book that looks at the choices made by groups of people with different preferences, needs, and interests. Divided into three parts, the text first examines voting methods for selecting or ranking candidates. A brief second part addresses compensation problems wherein an indivisible item must be assigned to one of several people who are equally entitled to ownership of the item, with monetary compensation paid to the others. The third part discusses the problem of sharing a divisible resource among several people. Mathematics of Social Choice can be used by undergraduates studying mathematics and students whose only mathematical background is elementary algebra. More advanced material can be skipped without any loss of continuity. The book can also serve as an easy introduction to topics such as the Gibbard-Satterthwaite theorem, Arrow's theorem, and fair division for readers with more mathematical background.
Author | : Felix Brandt |
Publisher | : Cambridge University Press |
Total Pages | : 553 |
Release | : 2016-04-25 |
Genre | : Business & Economics |
ISBN | : 1107060435 |
Download Handbook of Computational Social Choice Book in PDF, ePub and Kindle
A comprehensive survey of computational aspects of collective decisions for graduate students, researchers, and professionals in computer science and economics.
Author | : Alan D. Taylor |
Publisher | : Springer Science & Business Media |
Total Pages | : 378 |
Release | : 2009-12-29 |
Genre | : Social Science |
ISBN | : 0387776435 |
Download Mathematics and Politics Book in PDF, ePub and Kindle
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
Author | : Dimitris Fotakis |
Publisher | : Springer Nature |
Total Pages | : 446 |
Release | : 2021-10-27 |
Genre | : Computers |
ISBN | : 3030877566 |
Download Algorithmic Decision Theory Book in PDF, ePub and Kindle
This book constitutes the conference proceedings of the 7th International Conference on Algorithmic Decision Theory, ADT 2021, held in Toulouse, France, in November 2021. The 27 full papers presented were carefully selected from 58 submissions. The papers focus on algorithmic decision theory broadly defined, seeking to bring together researchers and practitioners coming from diverse areas of computer science, economics and operations research in order to improve the theory and practice of modern decision support.
Author | : Ngoc Thanh Nguyen |
Publisher | : Springer |
Total Pages | : 251 |
Release | : 2016-06-21 |
Genre | : Computers |
ISBN | : 366252886X |
Download Transactions on Computational Collective Intelligence XXIII Book in PDF, ePub and Kindle
These transactions publish research in computer-based methods of computational collective intelligence (CCI) and their applications in a wide range of fields such as the semantic Web, social networks, and multi-agent systems. TCCI strives to cover new methodological, theoretical and practical aspects of CCI understood as the form of intelligence that emerges from the collaboration and competition of many individuals (artificial and/or natural). The application of multiple computational intelligence technologies, such as fuzzy systems, evolutionary computation, neural systems, consensus theory, etc., aims to support human and other collective intelligence and to create new forms of CCI in natural and/or artificial systems. This twenty-third issue contains 14 carefully selected and revised contributions.
Author | : Takao Terano |
Publisher | : Springer Science & Business Media |
Total Pages | : 289 |
Release | : 2009-04-14 |
Genre | : Social Science |
ISBN | : 4431874356 |
Download Agent-Based Approaches in Economic and Social Complex Systems V Book in PDF, ePub and Kindle
Agent-based modeling/simulation is an emergent approach to the analysis of social and economic systems. It provides a bottom-up experimental method to be applied to social sciences such as economics, management, sociology, and politics as well as some engineering fields dealing with social activities. This book includes selected papers presented at the Fifth International Workshop on Agent-Based Approaches in Economic and Social Complex Systems held in Tokyo in 2007. It contains two invited papers given as the plenary and invited talks in the workshop and 21 papers presented in the six regular sessions: Organization and Management; Fundamentals of Agent-Based and Evolutionary Approaches; Production, Services and Urban Systems; Agent-Based Approaches to Social Systems; and Market and Economics I and II. The research presented here shows the state of the art in this rapidly growing field.
Author | : Jörg Rothe |
Publisher | : Springer |
Total Pages | : 618 |
Release | : 2015-08-18 |
Genre | : Business & Economics |
ISBN | : 3662479044 |
Download Economics and Computation Book in PDF, ePub and Kindle
This textbook connects three vibrant areas at the interface between economics and computer science: algorithmic game theory, computational social choice, and fair division. It thus offers an interdisciplinary treatment of collective decision making from an economic and computational perspective. Part I introduces to algorithmic game theory, focusing on both noncooperative and cooperative game theory. Part II introduces to computational social choice, focusing on both preference aggregation (voting) and judgment aggregation. Part III introduces to fair division, focusing on the division of both a single divisible resource ("cake-cutting") and multiple indivisible and unshareable resources ("multiagent resource allocation"). In all these parts, much weight is given to the algorithmic and complexity-theoretic aspects of problems arising in these areas, and the interconnections between the three parts are of central interest.