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The Geometry of Efficient Fair Division.
~
Taylor, Alan D.
The Geometry of Efficient Fair Division.
Record Type:
Electronic resources : Monograph/item
Title/Author:
The Geometry of Efficient Fair Division./
Author:
Barbanel, Julius B.
other author:
Taylor, Alan D.
Published:
Cambridge :Cambridge University Press, : 2005.,
Description:
474 p.
Subject:
Partitions (Mathematics). -
Online resource:
Click here to view book
ISBN:
9780511546679 (electronic bk.)
The Geometry of Efficient Fair Division.
Barbanel, Julius B.
The Geometry of Efficient Fair Division.
[electronic resource]. - Cambridge :Cambridge University Press,2005. - 474 p.
Cover; Half-title; Title; Copyright; Dedication; Contents; Introduction; 1 Notation and Preliminaries; 2 Geometric Object #1a; 3 What the IPS Tells Us About Fairness and Efficiency in the Two-Player Context; 3A. Fairness; 3B. Efficiency; 3C. Fairness and Efficiency Together: Part 1a; 3D. The Situation Without Absolute Continuity; 4 The Individual Pieces Set (IPS) and the Full Individual Pieces Set (FIPS) for the General n-Player Context; 4A. Geometric Object #1b: The IPS for n Players; 4B. Why the IPS Does Not Suffice; 4C. Geometric Object #1c: The FIPS
The author 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 several results concerning efficiency properties such as Pareto maximality and fairness properties such as envy-freeness for partitions.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511546679 (electronic bk.)Subjects--Topical Terms:
277522
Partitions (Mathematics).
Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA165 .B37 2004eb
Dewey Class. No.: 512.7/3
The Geometry of Efficient Fair Division.
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The Geometry of Efficient Fair Division.
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[electronic resource].
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Cambridge :
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2005.
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Cambridge University Press,
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474 p.
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Cover; Half-title; Title; Copyright; Dedication; Contents; Introduction; 1 Notation and Preliminaries; 2 Geometric Object #1a; 3 What the IPS Tells Us About Fairness and Efficiency in the Two-Player Context; 3A. Fairness; 3B. Efficiency; 3C. Fairness and Efficiency Together: Part 1a; 3D. The Situation Without Absolute Continuity; 4 The Individual Pieces Set (IPS) and the Full Individual Pieces Set (FIPS) for the General n-Player Context; 4A. Geometric Object #1b: The IPS for n Players; 4B. Why the IPS Does Not Suffice; 4C. Geometric Object #1c: The FIPS
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4D. A Theorem on the Possibilities for the FIPS5 What the IPS and the FIPS Tell Us About Fairness and Efficiency in the General n-Player Context; 5A. Fairness; 5B. Efficiency; 5C. Fairness and Efficiency Together: Part 1b; 5D. The Situation Without Absolute Continuity; 5E. Examples and Open Questions; 6 Characterizing Pareto Optimality; 7 Characterizing Pareto Optimality I; 7A. Introduction: The Two-Player Context; 7B. The Characterization; 7C. The Situation Wi
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The author 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 several results concerning efficiency properties such as Pareto maximality and fairness properties such as envy-freeness for partitions.
533
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Electronic reproduction.
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Available via World Wide Web.
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Mode of access: World Wide Web.
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Partitions (Mathematics).
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277522
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Electronic books.
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local.
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96803
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Taylor, Alan D.
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Ebooks Corporation.
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9780521842488
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Click here to view book
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http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511546679
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