Mathematics of social choice
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Mathematics of social choice voting, compensation, and division by Christoph Börgers

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Published by Society for Industrial and Applied Mathematics in Philadelphia .
Written in English


Book details:

Edition Notes

Includes index.

StatementChristoph Börgers
ContributionsSociety for Industrial and Applied Mathematics
Classifications
LC ClassificationsJF1001 .B65 2010
The Physical Object
Paginationxi, 245 p. :
Number of Pages245
ID Numbers
Open LibraryOL24547276M
ISBN 100898716950
ISBN 109780898716955
LC Control Number2009038044
OCLC/WorldCa459207731

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Math of Social Choice a mathematician's viewpoint on real-world voting. even if problems are T/F or multiple choice. Note for #6: the “a priori order” just means whatever candidate order has been specified for the sequential tournament. Several of these are partially answered in the back of the book, but try them yourself first and. Social choice theory concerns the design and analysis of procedures that aggregate expressed preferences of voters (electors, legislators, committee members, jurors) for the purpose of making decisions that affect the well-being of a group they represent. Voting procedures for decisions between two alternatives focus on simple majority and various special majority and weighted majority rules. 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.   The fifth chapter of the book delves deeper into the idea of social choice functions — that is, a scenario where out of a given set of preferences we want to determine not a winner (or set of winners) but rather a way of choosing a winner (or set of winners) from any nonempty subset of the original collection of choices.

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