Jump to ContentJump to Main Navigation
Game Theory and the HumanitiesBridging Two Worlds$
Users without a subscription are not able to see the full content.

Steven J. Brams

Print publication date: 2011

Print ISBN-13: 9780262015226

Published to MIT Press Scholarship Online: August 2013

DOI: 10.7551/mitpress/9780262015226.001.0001

Show Summary Details
Page of

PRINTED FROM MIT PRESS SCHOLARSHIP ONLINE (www.mitpress.universitypressscholarship.com). (c) Copyright The MIT Press, 2017. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in MITSO for personal use (for details see http://www.mitpress.universitypressscholarship.com/page/privacy-policy).date: 11 December 2017

Philosophy: Paradoxes of Fair Division

Philosophy: Paradoxes of Fair Division

Chapter:
(p.93) 4 Philosophy: Paradoxes of Fair Division
Source:
Game Theory and the Humanities
Author(s):

Steven J. Brams

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262015226.003.0004

One of the main concerns of philosophy is the resolution of paradoxes, especially those that raise fundamental questions, such as what constitutes a just society. Game theory provides an important tool for addressing such questions. This chapter examines fair-division paradoxes, all of which concern the division of a set of indivisible items among two or more players. For some paradoxes, it is assumed that the players can do no more than rank the items from best to worst, whereas for others they can, in addition, indicate preferences over subsets, or packages, of items. While this framework is generally an ordinalist one—in which players can rank or order alternatives but do not attach cardinal utilities to them—one cardinalization of ranks is introduced, based on the Borda count used in voting, to facilitate certain comparisons, particularly those involving allocations with different numbers of items.

Keywords:   paradox, fair division, philosophy, game theory, allocation

MIT Press Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs, and if you can't find the answer there, please contact us.