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Fair division of indivisible items between two people with identical preferences: Envy-freeness, Pareto-optimality, and equity

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Author Info

  • Steven J. Brams

    ()
    (Department of Politics, New York University, New York, NY 10003, USA Information Sciences Research, Room C227, AT&T Labs-Research, 180 Park Avenue, Florham Park, NJ 07932, USA)

  • Peter C. Fishburn

    ()
    (Department of Politics, New York University, New York, NY 10003, USA Information Sciences Research, Room C227, AT&T Labs-Research, 180 Park Avenue, Florham Park, NJ 07932, USA)

Abstract

This paper focuses on the fair division of a set of indivisible items between two people when both have the same linear preference order on the items but may have different preferences over subsets of items. Surprisingly, divisions that are envy-free, Pareto-optimal, and ensure that the less well-off person does as well as possible (i.e., are equitable) can often be achieved. Preferences between subsets are assumed to satisfy axioms of qualitative probability without implying the existence of additive utilities, which is treated as a special case. Algorithms that render fair division practicable are proposed, and their vulnerability to strategic manipulation is investigated.

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File URL: http://link.springer.de/link/service/journals/00355/papers/0017002/00170247.pdf
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Bibliographic Info

Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 17 (2000)
Issue (Month): 2 ()
Pages: 247-267

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Handle: RePEc:spr:sochwe:v:17:y:2000:i:2:p:247-267

Note: Received: 18 May 1998/Accepted: 2 March 1999
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Web page: http://link.springer.de/link/service/journals/00355/index.htm

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Cited by:
  1. Dall'Aglio, Marco & Mosca, Raffaele, 2007. "How to allocate hard candies fairly," Mathematical Social Sciences, Elsevier, vol. 54(3), pages 218-237, December.
  2. Antonio Nicolo' & Yan Yu, 2006. "Strategic Divide and Choose," "Marco Fanno" Working Papers 0022, Dipartimento di Scienze Economiche "Marco Fanno".
  3. Saralees Nadarajah, 2009. "The Pareto optimality distribution," Quality & Quantity: International Journal of Methodology, Springer, vol. 43(6), pages 993-998, November.
  4. Steven Brams & D. Kilgour & Christian Klamler, 2012. "The undercut procedure: an algorithm for the envy-free division of indivisible items," Social Choice and Welfare, Springer, vol. 39(2), pages 615-631, July.
  5. RAMAEKERS, Eve, . "Fair allocation of indivisible goods: the two-agent case," CORE Discussion Papers RP -2483, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Fragnelli, Vito & Marina, Maria Erminia, 2003. "A fair procedure in insurance," Insurance: Mathematics and Economics, Elsevier, vol. 33(1), pages 75-85, August.
  7. Edelman, Paul & Fishburn, Peter, 2001. "Fair division of indivisible items among people with similar preferences," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 327-347, May.

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