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 with possibilities and pitfalls of achieving fair division in a variety of circumstances.
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Paper
Brams, S. J. & Eldelman, P. H. & Fishburn, P. C., 2000.
"Fair Division of Indivisible Items,"
Working Papers
00-15, C.V. Starr Center for Applied Economics, New York University.
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Cited by: (explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
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.
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