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The Geometry Of Efficient Fair Division
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Book Synopsis The Geometry of Efficient Fair Division by : Julius B. Barbanel
Download or read book The Geometry of Efficient Fair Division written by Julius B. Barbanel and published by Cambridge University Press. This book was released on 2005-01-24 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the best way to divide a 'cake' and allocate the pieces among some finite collection of players? In this book, the cake is a measure space, and each player uses a countably additive, non-atomic probability measure to evaluate the size of the pieces of cake, with different players generally using different measures. The author investigates efficiency properties (is there another partition that would make everyone at least as happy, and would make at least one player happier, than the present partition?) and fairness properties (do all players think that their piece is at least as large as every other player's piece?). He focuses exclusively on abstract existence results rather than algorithms, and on the geometric objects that arise naturally in this context. By examining the shape of these objects and the relationship between them, he demonstrates results concerning the existence of efficient and fair partitions.
Book Synopsis The Geometry of Efficient Fair Division by : Julius B. Barbanel
Download or read book The Geometry of Efficient Fair Division written by Julius B. Barbanel and published by Cambridge University Press. This book was released on 2005-01-24 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the best way to divide a cake and allocate the pieces among some finite collection of players? In this book, the cake is a measure space, and each player uses a countably additive, non-atomic probability measure to evaluate the size of the pieces of cake, with different players generally using different measures. The author investigates efficiency properties (is there another partition that would make everyone at least as happy, and would make at least one player happier, than the present partition?) and fairness properties (do all players think that their piece is at least as large as every other player's piece?). He focuses exclusively on abstract existence results rather than algorithms, and on the geometric objects that arise naturally in this context. By examining the shape of these objects and the relationship between them, he demonstrates results concerning the existence of efficient and fair partitions.
Book Synopsis The Oxford Handbook of Public Choice by : Roger D. Congleton
Download or read book The Oxford Handbook of Public Choice written by Roger D. Congleton and published by Oxford Handbooks. This book was released on 2019-01-08 with total page 985 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This two-volume collection provides a comprehensive overview of the past seventy years of public choice research, written by experts in the fields surveyed. The individual chapters are more than simple surveys, but provide readers with both a sense of the progress made and puzzles that remain. Most are written with upper level undergraduate and graduate students in economics and political science in mind, but many are completely accessible to non-expert readers who are interested in Public Choice research. The two-volume set will be of broad interest to social scientists, policy analysts, and historians"--
Book Synopsis The New Palgrave Dictionary of Economics by :
Download or read book The New Palgrave Dictionary of Economics written by and published by Springer. This book was released on 2016-05-18 with total page 7493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The award-winning The New Palgrave Dictionary of Economics, 2nd edition is now available as a dynamic online resource. Consisting of over 1,900 articles written by leading figures in the field including Nobel prize winners, this is the definitive scholarly reference work for a new generation of economists. Regularly updated! This product is a subscription based product.
Book Synopsis The Oxford Handbook of Political Economy by : Barry R. Weingast
Download or read book The Oxford Handbook of Political Economy written by Barry R. Weingast and published by Oxford University Press. This book was released on 2008-06-19 with total page 1112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over its lifetime, 'political economy' has had different meanings. This handbook views political economy as a synthesis of the various strands of social science, treating it as the methodology of economics applied to the analysis of political behaviour and institutions.
Book Synopsis Internet and Network Economics by : Paul W. Goldberg
Download or read book Internet and Network Economics written by Paul W. Goldberg and published by Springer. This book was released on 2012-12-05 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 8th International Workshop on Internet and Network Economics, WINE 2012, held in Liverpool, UK, in December 2012. The 36 revised full papers and 13 revised short papers presented together with the abstracts of 3 papers about work in progress and 3 invited talks were carefully reviewed and selected from 112 submissions. The papers are organized in topical sections on algorithmic game theory; algorithmic mechanism design; auction algorithms and analysis; computational advertising; computational aspects of equilibria; computational social choice; convergence and learning in games; coalitions, coordination and collective action; economics aspects of security and privacy; economics aspects of distributed and network computing; information and attention economics; network games; price differentiation and price dynamics; social networks.
Book Synopsis Handbook of Group Decision and Negotiation by : D. Marc Kilgour
Download or read book Handbook of Group Decision and Negotiation written by D. Marc Kilgour and published by Springer Science & Business Media. This book was released on 2010-08-02 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publication of the Handbook of Group Decision and Negotiation marks a milestone in the evolution of the group decision and negotiation (GDN) eld. On this occasion, editors Colin Eden and Marc Kilgour asked me to write a brief history of the eld to provide background and context for the volume. They said that I am in a good position to do so: Actively involved in creating the GDN Section and serving as its chair; founding and leading the GDN journal, Group Decision and Negotiation as editor-in-chief, and the book series, “Advances in Group Decision and Negotiation” as editor; and serving as general chair of the GDN annual meetings. I accepted their invitation to write a brief history. In 1989 what is now the Institute for Operations Research and the Management Sciences (INFORMS) established its Section on Group Decision and Negotiation. The journal Group Decision and Negotiation was founded in 1992, published by Springer in cooperation with INFORMS and the GDN Section. In 2003, as an ext- sion of the journal, the Springer book series, “Advances in Group Decision and Negotiation” was inaugurated.
Download or read book Fair Division written by Steven J. Brams and published by Cambridge University Press. This book was released on 1996-02-23 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cutting a cake, dividing up the property in an estate, determining the borders in an international dispute - such problems of fair division are ubiquitous. Fair Division treats all these problems and many more through a rigorous analysis of a variety of procedures for allocating goods (or 'bads' like chores), or deciding who wins on what issues, when there are disputes. Starting with an analysis of the well-known cake-cutting procedure, 'I cut, you choose', the authors show how it has been adapted in a number of fields and then analyze fair-division procedures applicable to situations in which there are more than two parties, or there is more than one good to be divided. In particular they focus on procedures which provide 'envy-free' allocations, in which everybody thinks he or she has received the largest portion and hence does not envy anybody else. They also discuss the fairness of different auction and election procedures.
Book Synopsis The Oxford Handbook of Well-Being and Public Policy by : Matthew D. Adler
Download or read book The Oxford Handbook of Well-Being and Public Policy written by Matthew D. Adler and published by Oxford University Press. This book was released on 2016-04-21 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: What are the methodologies for assessing and improving governmental policy in light of well-being? The Oxford Handbook of Well-Being and Public Policy provides a comprehensive, interdisciplinary treatment of this topic. The contributors draw from welfare economics, moral philosophy, and psychology and are leading scholars in these fields. The Handbook includes thirty chapters divided into four Parts. Part I covers the full range of methodologies for evaluating governmental policy and assessing societal condition-including both the leading approaches in current use by policymakers and academics (such as GDP, cost-benefit analysis, cost-effectiveness analysis, inequality and poverty metrics, and the concept of the "social welfare function"), and emerging techniques. Part II focuses on the nature of well-being. What, most fundamentally, determines whether an individual life is better or worse for the person living it? Her happiness? Her preference-satisfaction? Her attainment of various "objective goods"? Part III addresses the measurement of well-being and the thorny topic of interpersonal comparisons. How can we construct a meaningful scale of individual welfare, which allows for comparisons of well-being levels and differences, both within one individual's life, and across lives? Finally, Part IV reviews the major challenges to designing governmental policy around individual well-being.
Download or read book Fair Share written by Isaac Elishakoff and published by Springer Nature. This book was released on with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics and Democracy by : Steven J. Brams
Download or read book Mathematics and Democracy written by Steven J. Brams and published by Princeton University Press. This book was released on 2009-12-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics of Social Choice by : Christoph Borgers
Download or read book Mathematics of Social Choice written by Christoph Borgers and published by SIAM. This book was released on 2010-01-01 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cross-Border Resource Management by : Rongxing Guo
Download or read book Cross-Border Resource Management written by Rongxing Guo and published by Elsevier. This book was released on 2021-07-20 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approx.538 pages Approx.538 pages
Book Synopsis Handbook of Computational Social Choice by : Felix Brandt
Download or read book Handbook of Computational Social Choice written by Felix Brandt and published by Cambridge University Press. This book was released on 2016-04-25 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive survey of computational aspects of collective decisions for graduate students, researchers, and professionals in computer science and economics.
Book Synopsis The Mathematics of Politics, Second Edition by : E. Arthur Robinson
Download or read book The Mathematics of Politics, Second Edition written by E. Arthur Robinson and published by CRC Press. This book was released on 2016-11-18 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is because mathematics is often misunderstood, it is commonly believed it has nothing to say about politics. The high school experience with mathematics, for so many the lasting impression of the subject, suggests that mathematics is the study of numbers, operations, formulas, and manipulations of symbols. Those believing this is the extent of mathematics might conclude mathematics has no relevance to politics. This book counters this impression. The second edition of this popular book focuses on mathematical reasoning about politics. In the search for ideal ways to make certain kinds of decisions, a lot of wasted effort can be averted if mathematics can determine that finding such an ideal is actually impossible in the first place. In the first three parts of this book, we address the following three political questions: (1) Is there a good way to choose winners of elections? (2) Is there a good way to apportion congressional seats? (3) Is there a good way to make decisions in situations of conflict and uncertainty? In the fourth and final part of this book, we examine the Electoral College system that is used in the United States to select a president. There we bring together ideas that are introduced in each of the three earlier parts of the book.
Book Synopsis Mathematics and Politics by : Alan D. Taylor
Download or read book Mathematics and Politics written by Alan D. Taylor and published by Springer Science & Business Media. This book was released on 2008-09-16 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Experimental Studies on Partnership Dissolution, R&D Investment, and Gift Giving by : Nadja Trhal
Download or read book Experimental Studies on Partnership Dissolution, R&D Investment, and Gift Giving written by Nadja Trhal and published by Kölner Wissenschaftsverlag. This book was released on 2009 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
