From Cake-Cutting to Dispute Resolution
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Fair Division by Steven J. Brams
Book DescriptionCutting 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.
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Book DetailsISBN: 9780521556446
(228mm x 152mm x 16mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 23-Feb-1996
Country of Publication: United Kingdom
Books By Author Steven J. Brams
Game Theory and the Humanities, Paperback (September 2012)
How game theory can offer insights into literary, historical, and philosophical texts ranging from Macbeth to Supreme Court decisions.
Mathematics and Democracy, Paperback (December 2007)
Voters 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. This book shows how social-choice and game theory could make political and social institutions more democratic.
Game Theory and Politics, Paperback (September 2004)» View all books by Steven J. Brams
Many illuminating and instructive examples of the applications of game theoretic models to problems in political science appear in this volume, which requires minimal mathematical background. 1975 edition. 24 figures.
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