NDLI: A maximal domain of preferences for strategy-proof, efficient, and simple rules in the division problem

Content Provider	Springer Nature Link
Author	Massó, Jordi Neme, Alejandro
Copyright Year	2004
Abstract	The division problem consists of allocating an amount M of a perfectly divisible good among a group of n agents. Sprumont (1991) showed that if agents have single-peaked preferences over their shares, the uniform rule is the unique strategy-proof, efficient, and anonymous rule. Ching and Serizawa (1998) extended this result by showing that the set of single-plateaued preferences is the largest domain, for all possible values of M, admitting a rule (the extended uniform rule) satisfying strategy-proofness, efficiency and symmetry. We identify, for each M and n, a maximal domain of preferences under which the extended uniform rule also satisfies the properties of strategy-proofness, efficiency, “tops-onlyness”, and continuity. These domains (called partially single-plateaued) are strictly larger than the set of single-plateaued preferences. However, their intersection, when M varies from zero to infinity, coincides with the set of single-plateaued preferences.
Starting Page	187
Ending Page	206
Page Count	20
File Format	PDF
ISSN	01761714
Journal	Social Choice and Welfare
Volume Number	23
Issue Number	2
e-ISSN	1432217X
Language	English
Publisher	Springer-Verlag
Publisher Date	2004-01-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article
Subject	Social Sciences Economics and Econometrics

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A maximal domain of preferences for strategy-proof, efficient, and simple rules in the division problem