Fair division : from cake-cutting to dispute resolution

Steven J. Brams and Alan D. Taylor

Cutting 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.

「Nielsen BookData」より

[目次]

  • Introduction
  • 1. Proportionality for n=2
  • 2. Proportionality for n>2: the divisible case
  • 3. Proportionality for n>2: the indivisible case
  • 4. Envy-freeness and equitability for n=2
  • 5. Applications for the point-allocation procedures
  • 6. Envy-free procedures for n=3 and n=4
  • 7. Envy-free procedures for arbitrary n
  • 8. Divide-the-dollar
  • 9. Fair division by auctions
  • 10. Fair divisions by elections
  • 11. Conclusions
  • Glossary
  • Bibliography
  • Index.

「Nielsen BookData」より

この本の情報

書名 Fair division : from cake-cutting to dispute resolution
著作者等 Brams, Steven J.
Taylor, Alan D
出版元 Cambridge University Press
刊行年月 1996
ページ数 xiv, 272 p.
大きさ 24 cm
ISBN 0521556449
0521553903
NCID BA27297742
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言語 英語
出版国 イギリス
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