Mathematics of Social Choice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics of Social Choice write by Christoph Borgers. This book was released on 2010-01-01. Mathematics of Social Choice available 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.
Social Choice and the Mathematics of Manipulation
Social Choice and the Mathematics of Manipulation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Social Choice and the Mathematics of Manipulation write by Alan D. Taylor. This book was released on 2005-05-09. Social Choice and the Mathematics of Manipulation available 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.
Social Choice and Individual Values
Social Choice and Individual Values - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Social Choice and Individual Values write by Kenneth Joseph Arrow. This book was released on 1963-01-01. Social Choice and Individual Values available in PDF, EPUB and Kindle. The literature on the theory of social choice has grown considerably beyond the few items in existence at the time the first edition of this book appeared in 1951. Some of the new literature has dealt with the technical, mathematical aspects, more with the interpretive. My own thinking has also evolved somewhat, although I remain far from satisfied with present formulations. The exhaustion of the first edition provides a convenient time for a selective and personal stocktaking in the form of an appended commentary entitled, 'Notes on the Theory of Social Choice, 1963, ' containing reflections on the text and its omissions and on some of the more recent literature. This form has seemed more appropriate than a revision of the original text, which has to some extent acquired a life of its own.
The Theory of Social Choice
The Theory of Social Choice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Theory of Social Choice write by Peter C. Fishburn. This book was released on 2015-03-08. The Theory of Social Choice available in PDF, EPUB and Kindle. One fundamental premise of democratic theory is that social policy, group choice, or collective action should be based on the preferences of the individuals in the society, group, or collective. Using the tools of formal mathematical analysis, Peter C. Fishburn explores and defines the conditions for social choice and methods for synthesizing individuals' preferences. This study is unique in its emphasis on social choice functions, the general position that individual indifference may not be transitive, and the use of certain mathematics such as linear algebra. The text is divided into three main parts: social choice between two alternatives, which examines a variety of majority-like functions; simple majority social choice, which focuses on social choice among many alternatives when two-element feasible subset choices are based on simple majority; and a general study of aspects and types of social choice functions for many alternatives. Originally published in 1973. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Classics of Social Choice
Classics of Social Choice - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Classics of Social Choice write by Iain McLean. This book was released on 1995. Classics of Social Choice available in PDF, EPUB and Kindle. Over the centuries an intriguing collection of thinkers have realized that voting and social choice are not straightforward. Yet despite the work of many distinguished contributors in this area, the subject has only become established in the last few decades. Indeed, many earlier writings were lost and their content forgotten, only to be rediscovered later and then forgotten again. This puzzling saga of intellectual history unfolds in Classics of Social Choice through these original writings. The editors have included recently discovered pieces and other major contributions - newly translated where necessary. The introduction explains who each writer was, locates him in a historical context, and analyzes his argument. It was only in the 1940s and 1950s that the theory of social choice was established by Duncan Black and Kenneth Arrow - whose Nobel Prize in Economics was awarded in part for this work. It is now a large and thriving branch of economics and politics. Classics of Social Choice will interest anyone working in social choice theory as well as students of medieval thought, the Enlightenment, and constitutions.
