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Fair Division: From Cake-Cutting to Dispute Resolution

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Fair Division, unlike most research on fairness in the social sciences and mathematics, is devoted solely to the analysis of constructive procedures for actually dividing things up and resolving disputes, including indivisible items or issues, such as the marital…
Mathematics and Politics: Strategy, Voting, Power, and Proof
Paperback

|October 29, 2010

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Why would anyone bid $3. 25 in an auction where the prize is a single dollar bill? Can one "game" explain the apparent irrationality behind both the arms race of the 1980s and the libretto of Puccini's opera Tosca? How can one calculation suggest the…
The Mathematics Of Coordinated Inference: A Study Of Generalized Hat Problems
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|August 23, 2016

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Two prisoners are told that they will be brought to a room and seated so that each can see the other. Hats will be placed on their heads; each hat is either red or green. The two prisoners must simultaneously submit a guess of their own hat color, and they both…
The Mathematics of Coordinated Inference: A Study of Generalized Hat Problems
Kobo ebook

|October 17, 2013

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Two prisoners are told that they will be brought to a room and seated so that each can see the other. Hats will be placed on their heads; each hat is either red or green. The two prisoners must simultaneously submit a guess of their own hat color, and they both…
The Mathematics of Coordinated Inference: A Study of Generalized Hat Problems
Hardcover

|October 28, 2013

$81.38 online

$156.50list price

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Two prisoners are told that they will be brought to a room and seated so that each can see the other. Hats will be placed on their heads; each hat is either red or green. The two prisoners must simultaneously submit a guess of their own hat color, and they both…
Social Choice and the Mathematics of Manipulation

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Honesty in voting is not always the best policy. This is a book for mathematicians, political scientists, economists and philosophers who want to understand how it is impossible to devise a reasonable voting system in which voters can never gain by submitting a…
The Geometry of Efficient Fair Division

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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,…
Win Win Solution: Guaranteeing Fair Shares To Everybody

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Since the publication of Roger Fisher and William Ury's highly influential book, Getting to Yes, it has been widely recognized that there is a middle ground between winning and losing in negotiation. Yet, while Getting to Yes was long on motivation, it was short…
Simple Games: Desirability Relations, Trading, Pseudoweightings
Hardcover

|October 12, 1999

$160.14 online

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Simple games are mathematical structures inspired by voting systems in which a single alternative, such as a bill, is pitted against the status quo. The first in-depth mathematical study of the subject as a coherent subfield of finite combinatorics--one with its…