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Fair Division

Author

Listed:
  • Brams,Steven J.
  • Taylor,Alan D.

Abstract

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.

Suggested Citation

  • Brams,Steven J. & Taylor,Alan D., 1996. "Fair Division," Cambridge Books, Cambridge University Press, number 9780521556446.
  • Handle: RePEc:cup:cbooks:9780521556446
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    Citations

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    Cited by:

    1. Steven J. Brams & Michael A. Jones & D. Marc Kilgour, 2002. "Single-Peakedness and Disconnected Coalitions," Journal of Theoretical Politics, , vol. 14(3), pages 359-383, July.
    2. Z. Landau & O. Reid & I. Yershov, 2009. "A fair division solution to the problem of redistricting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(3), pages 479-492, March.
    3. repec:spr:grdene:v:10:y:2001:i:4:d:10.1023_a:1011252808608 is not listed on IDEAS
    4. Chambers, Christopher P., 2005. "Allocation rules for land division," Journal of Economic Theory, Elsevier, vol. 121(2), pages 236-258, April.
    5. Barbanel, J. B. & Brams, S. J., 2001. "Cake Division with Minimal Cuts: Envy-Free Procedures for 3 Person, 4 Persons, and Beyond," Working Papers 01-07, C.V. Starr Center for Applied Economics, New York University.
    6. Ehtamo, Harri & Kettunen, Eero & Hamalainen, Raimo P., 2001. "Searching for joint gains in multi-party negotiations," European Journal of Operational Research, Elsevier, vol. 130(1), pages 54-69, April.
    7. Thomson, William, 2005. "Divide-and-permute," Games and Economic Behavior, Elsevier, vol. 52(1), pages 186-200, July.
    8. Steven J. Brams & D. Marc Kilgour, 2001. "Fallback Bargaining," Group Decision and Negotiation, Springer, vol. 10(4), pages 287-316, July.
    9. Sun,N. & Trockel,W. & Yang,Z., 2004. "Competitive outcomes and endogenous coalition formation in an n-person game," Center for Mathematical Economics Working Papers 358, Center for Mathematical Economics, Bielefeld University.
    10. Rubchinsky, Alexander, 2010. "Brams-Taylor model of fair division for divisible and indivisible items," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 1-14, July.
    11. Haake, Claus-Jochen & Raith, Matthias G. & Su, Francis Edward, 2017. "Bidding for envy freeness," Center for Mathematical Economics Working Papers 311, Center for Mathematical Economics, Bielefeld University.
    12. Aumann, Robert J., 2003. "Presidential address," Games and Economic Behavior, Elsevier, vol. 45(1), pages 2-14, October.
    13. Trockel, Walter, 2011. "Game theory. The language of social science?," Center for Mathematical Economics Working Papers 357, Center for Mathematical Economics, Bielefeld University.
    14. Bohnet, Iris & Frey, Bruno S., 1999. "The sound of silence in prisoner's dilemma and dictator games," Journal of Economic Behavior & Organization, Elsevier, vol. 38(1), pages 43-57, January.
    15. Marco Mariotii, 1996. "Fair bargains: distributive justice and Nash Bargaining Theory," Game Theory and Information 9611003, EconWPA, revised 06 Dec 1996.

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