Fair Division

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Fair Division

Author : Steven J. Brams
Publisher : Cambridge University Press
ISBN 13 : 9780521556446
Total Pages : 292 pages
Book Rating : 4.5/5 (564 download)

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Book Synopsis Fair Division by : Steven J. Brams

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.

Fair Division and Collective Welfare

Author : Herve Moulin
Publisher : MIT Press
ISBN 13 : 9780262633116
Total Pages : 302 pages
Book Rating : 4.6/5 (331 download)

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Book Synopsis Fair Division and Collective Welfare by : Herve Moulin

Download or read book Fair Division and Collective Welfare written by Herve Moulin and published by MIT Press. This book was released on 2004-08-20 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of fair division is as old as civil society itself. Aristotle's "equal treatment of equals" was the first step toward a formal definition of distributive fairness. The concept of collective welfare, more than two centuries old, is a pillar of modern economic analysis. Reflecting fifty years of research, this book examines the contribution of modern microeconomic thinking to distributive justice. Taking the modern axiomatic approach, it compares normative arguments of distributive justice and their relation to efficiency and collective welfare. The book begins with the epistemological status of the axiomatic approach and the four classic principles of distributive justice: compensation, reward, exogenous rights, and fitness. It then presents the simple ideas of equal gains, equal losses, and proportional gains and losses. The book discusses three cardinal interpretations of collective welfare: Bentham's "utilitarian" proposal to maximize the sum of individual utilities, the Nash product, and the egalitarian leximin ordering. It also discusses the two main ordinal definitions of collective welfare: the majority relation and the Borda scoring method. The Shapley value is the single most important contribution of game theory to distributive justice. A formula to divide jointly produced costs or benefits fairly, it is especially useful when the pattern of externalities renders useless the simple ideas of equality and proportionality. The book ends with two versatile methods for dividing commodities efficiently and fairly when only ordinal preferences matter: competitive equilibrium with equal incomes and egalitarian equivalence. The book contains a wealth of empirical examples and exercises.

Fair Play

Author : Eve Rodsky
Publisher : Penguin
ISBN 13 : 0525541942
Total Pages : 385 pages
Book Rating : 4.5/5 (255 download)

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Book Synopsis Fair Play by : Eve Rodsky

Download or read book Fair Play written by Eve Rodsky and published by Penguin. This book was released on 2021-01-05 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: AN INSTANT NEW YORK TIMES BESTSELLER • A REESE'S BOOK CLUB PICK Tired, stressed, and in need of more help from your partner? Imagine running your household (and life!) in a new way... It started with the Sh*t I Do List. Tired of being the “shefault” parent responsible for all aspects of her busy household, Eve Rodsky counted up all the unpaid, invisible work she was doing for her family—and then sent that list to her husband, asking for things to change. His response was...underwhelming. Rodsky realized that simply identifying the issue of unequal labor on the home front wasn't enough: She needed a solution to this universal problem. Her sanity, identity, career, and marriage depended on it. The result is Fair Play: a time- and anxiety-saving system that offers couples a completely new way to divvy up domestic responsibilities. Rodsky interviewed more than five hundred men and women from all walks of life to figure out what the invisible work in a family actually entails and how to get it all done efficiently. With 4 easy-to-follow rules, 100 household tasks, and a series of conversation starters for you and your partner, Fair Play helps you prioritize what's important to your family and who should take the lead on every chore, from laundry to homework to dinner. “Winning” this game means rebalancing your home life, reigniting your relationship with your significant other, and reclaiming your Unicorn Space—the time to develop the skills and passions that keep you interested and interesting. Stop drowning in to-dos and lose some of that invisible workload that's pulling you down. Are you ready to try Fair Play? Let's deal you in.

Mathematics and Democracy

Author : Steven J. Brams
Publisher : Princeton University Press
ISBN 13 : 1400835593
Total Pages : 390 pages
Book Rating : 4.4/5 (8 download)

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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.

Cake-Cutting Algorithms

Author : Jack Robertson
Publisher : CRC Press
ISBN 13 : 1439863857
Total Pages : 177 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Cake-Cutting Algorithms by : Jack Robertson

Download or read book Cake-Cutting Algorithms written by Jack Robertson and published by CRC Press. This book was released on 1998-07-15 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: The challenge of dividing an asset fairly, from cakes to more important properties, is of great practical importance in many situations. Since the famous Polish school of mathematicians (Steinhaus, Banach, and Knaster) introduced and described algorithms for the fair division problem in the 1940s, the concept has been widely popularized. This book

Economics and Computation

Author : Jörg Rothe
Publisher : Springer Nature
ISBN 13 : 3031600991
Total Pages : 779 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Economics and Computation by : Jörg Rothe

Download or read book Economics and Computation written by Jörg Rothe and published by Springer Nature. This book was released on 2024 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Geometry of Efficient Fair Division

Author : Julius B. Barbanel
Publisher : Cambridge University Press
ISBN 13 : 9781139444392
Total Pages : 480 pages
Book Rating : 4.4/5 (443 download)

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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.

Long Division

Author : Kiese Laymon
Publisher : Simon and Schuster
ISBN 13 : 1982174838
Total Pages : 304 pages
Book Rating : 4.9/5 (821 download)

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Book Synopsis Long Division by : Kiese Laymon

Download or read book Long Division written by Kiese Laymon and published by Simon and Schuster. This book was released on 2021-06-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the NAACP Image Award for Fiction From Kiese Laymon, author of the critically acclaimed memoir Heavy, comes a “funny, astute, searching” (The Wall Street Journal) debut novel about Black teenagers that is a satirical exploration of celebrity, authorship, violence, religion, and coming of age in post-Katrina Mississippi. Written in a voice that’s alternately humorous, lacerating, and wise, Long Division features two interwoven stories. In the first, it’s 2013: after an on-stage meltdown during a nationally televised quiz contest, fourteen-year-old Citoyen “City” Coldson becomes an overnight YouTube celebrity. The next day, he’s sent to stay with his grandmother in the small coastal community of Melahatchie, where a young girl named Baize Shephard has recently disappeared. Before leaving, City is given a strange book without an author called Long Division. He learns that one of the book’s main characters is also named City Coldson—but Long Division is set in 1985. This 1985-version of City, along with his friend and love interest, Shalaya Crump, discovers a way to travel into the future, and steals a laptop and cellphone from an orphaned teenage rapper called...Baize Shephard. They ultimately take these items with them all the way back to 1964, to help another time-traveler they meet to protect his family from the Ku Klux Klan. City’s two stories ultimately converge in the work shed behind his grandmother’s house, where he discovers the key to Baize’s disappearance. Brilliantly “skewering the disingenuous masquerade of institutional racism” (Publishers Weekly), this dreamlike “smart, funny, and sharp” (Jesmyn Ward), novel shows the work that young Black Americans must do, while living under the shadow of a history “that they only gropingly understand and must try to fill in for themselves” (The Wall Street Journal).

Math in Society

Author : David Lippman
Publisher :
ISBN 13 : 9781479276530
Total Pages : 0 pages
Book Rating : 4.2/5 (765 download)

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Book Synopsis Math in Society by : David Lippman

Download or read book Math in Society written by David Lippman and published by . This book was released on 2012-09-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well.

The Oxford Handbook of Well-Being and Public Policy

Author : Matthew D. Adler
Publisher : Oxford University Press
ISBN 13 : 0199325839
Total Pages : 985 pages
Book Rating : 4.1/5 (993 download)

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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 985 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.

Fair Allocation

Author : H. Peyton Young
Publisher : American Mathematical Soc.
ISBN 13 : 9780821867402
Total Pages : 188 pages
Book Rating : 4.8/5 (674 download)

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Book Synopsis Fair Allocation by : H. Peyton Young

Download or read book Fair Allocation written by H. Peyton Young and published by American Mathematical Soc.. This book was released on 1985-12-31 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of six papers provides a valuable source of material on the real-world problem of allocating objects among competing claimants. The examples given show how mathematics, particularly the axiomatic method, can be applied to give insight into complex social problems. Originally presented as an AMS Short Course, these papers could serve as a suitable text for courses touching on game theory, decision sciences, economics, or quantitative political science. Most of the material is accessible to the mathematically mature undergraduate with a background in advanced calculus and algebra. Each article surveys the recent literature and includes statements and sketches of proofs, as well as unsolved problems which should excite student curiosity. The articles analyze the question of fair allocation via six examples: the apportionment of political representation, the measurement of income inequality, the allocation of joint costs, the levying of taxes, the design of voting laws, and the framing of auction procedures. In each of these examples fairness has a somewhat different significance, but common axiomatic threads reveal broad underlying principles. Each of the topics is concerned with norms of comparative equity for evaluating allocations or with standards of procedures for effecting them; it is this focus on normative properties which suggests that a mathematical analysis is appropriate. Though game theory provides a useful tool in many of these allocation problems, the emphasis here is on standards rather than strategy and equity rather than rationality, an approach which more accurately mirrors real-world social problems.

Algorithmic Decision Theory

Author : Francesca Rossi
Publisher : Springer
ISBN 13 : 364204428X
Total Pages : 460 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Algorithmic Decision Theory by : Francesca Rossi

Download or read book Algorithmic Decision Theory written by Francesca Rossi and published by Springer. This book was released on 2009-10-13 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at ADT 2009, the first International Conference on Algorithmic Decision Theory. The conference was held in San Servolo, a small island of the Venice lagoon, during October 20-23, 2009. The program of the conference included oral presentations, posters, invited talks, and tutorials. The conference received 65 submissions of which 39 papers were accepted (9 papers were posters). The topics of these papers range from computational social choice preference modeling, from uncertainty to preference learning, from multi-criteria decision making to game theory.

Bean Thirteen

Author : Matthew McElligott
Publisher : Penguin
ISBN 13 : 0399245359
Total Pages : 34 pages
Book Rating : 4.3/5 (992 download)

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Book Synopsis Bean Thirteen by : Matthew McElligott

Download or read book Bean Thirteen written by Matthew McElligott and published by Penguin. This book was released on 2007-05-10 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ralph warns Flora not to pick that thirteenth bean. Everyone knows it’s unlucky! Now that they’re stuck with it, how can they make it disappear? If they each eat half the beans, there’s still one left over. And if they invite a friend over, they each eat four beans, but there’s still one left over! And four friends could each eat three beans, but there’s still one left over! HOW WILL THEY ESCAPE THE CURSE OF BEAN THIRTEEN?! A funny story about beans, that may secretly be about . . . math! Sometimes you can divide, but you just can’t conquer (the bean thirteen, that is).

For All Practical Purposes

Author :
Publisher : Macmillan
ISBN 13 : 9781429209007
Total Pages : 844 pages
Book Rating : 4.2/5 (9 download)

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Book Synopsis For All Practical Purposes by :

Download or read book For All Practical Purposes written by and published by Macmillan. This book was released on 2009 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: By the Consortium for Mathematics and Its Applications.

The Routledge Handbook of the Philosophy of Economics

Author : Conrad Heilmann
Publisher : Taylor & Francis
ISBN 13 : 1317578066
Total Pages : 533 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis The Routledge Handbook of the Philosophy of Economics by : Conrad Heilmann

Download or read book The Routledge Handbook of the Philosophy of Economics written by Conrad Heilmann and published by Taylor & Francis. This book was released on 2021-11-29 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most fundamental questions of economics are often philosophical in nature, and philosophers have, since the very beginning of Western philosophy, asked many questions that current observers would identify as economic. The Routledge Handbook of Philosophy of Economics is an outstanding reference source for the key topics, problems, and debates at the intersection of philosophical and economic inquiry. It captures this field of countless exciting interconnections, affinities, and opportunities for cross-fertilization. Comprising 35 chapters by a diverse team of contributors from all over the globe, the Handbook is divided into eight sections: I. Rationality II. Cooperation and Interaction III. Methodology IV. Values V. Causality and Explanation VI. Experimentation and Simulation VII. Evidence VIII. Policy The volume is essential reading for students and researchers in economics and philosophy who are interested in exploring the interconnections between the two disciplines. It is also a valuable resource for those in related fields like political science, sociology, and the humanities.

Find Your Unicorn Space

Author : Eve Rodsky
Publisher : Penguin
ISBN 13 : 0593328035
Total Pages : 353 pages
Book Rating : 4.5/5 (933 download)

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Book Synopsis Find Your Unicorn Space by : Eve Rodsky

Download or read book Find Your Unicorn Space written by Eve Rodsky and published by Penguin. This book was released on 2022-09-13 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the New York Times bestselling author of Fair Play and "the Marie Kondo of relationships" comes an inspirational guide for setting new personal goals, rediscovering your interests, cultivating creativity, and reclaiming your Unicorn Space. With her acclaimed New York Times bestseller (and Reese’s Book Club pick) Fair Play, Eve Rodsky began a national conversation and launched a movement toward greaterequality on the home front. But she soon realized that even when the domestic workloadbecame more balanced, women were still reporting dissatisfaction in their lives—that is,unless they used the precious time they carved out for activities that filled not just theircalendar but also their soul. Rodsky calls this vital time our “Unicorn Space”—the active pursuit of creative selfexpressiondoing the thing that makes you uniquely YOU. To help readers embrace allthe unlikely, surprising, and delightful places where their own Unicorn Space may befound, she speaks with thought leaders and countless real women who have discoveredtheirs everywhere—from activism to artistic endeavors to second careers. Rodsky revealswhat researchers already know: Creativity is not optional. It’s essential. Though most ofus do need to remind ourselves how (and where) to find it. With her trademark mix of how-to advice and big-picture inspirational thinking, Rodskyshows us a clear plan to reclaim the lost art of having fun, manifest your own UnicornSpace in an already too-busy life, and unleash your talents into the world.

Mathematics of Social Choice

Author : Christoph Borgers
Publisher : SIAM
ISBN 13 : 0898717620
Total Pages : 233 pages
Book Rating : 4.8/5 (987 download)

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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.