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Fair Division of Indivisible Items

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Author Info
Brams, S. J.
Eldelman, P. H.
Fishburn, P. C.

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Abstract

This paper analyzes criteria of fair division of a set of indivisible items among people whose revealed preferences are limited to rankings of the items and for whom no side payments are allowed. The criteria include refinements of Pareto optimality and envy-freeness as well as dominance-freeness, evenness of shares, and two criteria based on equally-spaced surrogate utilities, referred to as maxsum and equimax. Maxsum maximizes a measure of aggregate utility or welfare, whereas equimax lexicographically maximizes persons' utilities from smallest to largest. The paper analyzes conflicts among the criteria along possibilities and pitfalls of achieving fair division in a variety of circumstances.

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File URL: http://econ.as.nyu.edu/docs/IO/9188/RR00-15.PDF
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Publisher Info
Paper provided by C.V. Starr Center for Applied Economics, New York University in its series Working Papers with number 00-15.

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Length: 31 pages
Date of creation: 2000
Date of revision:
Handle: RePEc:cvs:starer:00-15

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Postal: C.V. Starr Center, Department of Economics, New York University, 19 W. 4th Street, 6th Floor, New York, NY 10012
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Web page: http://econ.as.nyu.edu/object/econ.cvstarr.html
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Postal: C.V. Starr Center, Department of Economics, New York University, 19 W. 4th Street, 6th Floor, New York, NY 10012
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Related research
Keywords: FAIR DIVISION; ALLOCATION OF INDIVISIBLE ITEMS; PARETO OPTIMALITY; ENVY-FREENESS; LEXICOGRAPHIC MAXIMUM;

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  1. Brams, Steven J. & Kilgour, D. Marc & Klamler, Christian, 2009. "The undercut procedure: an algorithm for the envy-free division of indivisible items," MPRA Paper 12774, University Library of Munich, Germany. [Downloadable!]
  2. Antonio Nicolo' & Yan Yu, 2006. "Strategic Divide and Choose," "Marco Fanno" Working Papers 0022, Dipartimento di Scienze Economiche "Marco Fanno". [Downloadable!]
    Other versions:
  3. Brams, S. J. & Eldelman, P. H. & Fishburn, P. C., 2000. "Paradoxes of Fair Division," Working Papers 00-13, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
  4. Brams, S.J. & Kaplan, T.R., 2002. "Dividing the Indivisible: Procedures for Allocating Cabinet Ministries to Political Parties in a Parliamentary System," Working Papers 02-06, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
    Other versions:
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This page was last updated on 2009-10-28.

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