Title
Maximal Domain of Preferences in the Division Problem
Abstract
The division problem consists of allocating an amount of a perfectly divisible good among a group of n agents. Sprumont (1991) showed that if agents have single-peaked preferences over their shares, then the uniform allocation rule is the unique strategy-proof, efficient, and anonymous rule. We identify the maximal set of preferences, containing the set of single-peaked preferences, under which there exists at least one rule satisfying the properties of strategy-proofness, efficiency, and strong symmetry. In addition, we show that our characterization implies a slightly weaker version of Ching and Serizawa's (1998) result. Journal of Economic Literature Classification Numbers: D71, D78, D63.
Year
DOI
Venue
2001
10.1006/game.2001.0850
Games and Economic Behavior
Keywords
Field
DocType
satisfiability
Mathematical economics,Maximal set,Existential quantification,Mathematics
Journal
Volume
Issue
ISSN
37
2
0899-8256
Citations 
PageRank 
References 
7
0.84
1
Authors
2
Name
Order
Citations
PageRank
Jordi Massó110316.46
Alejandro Neme28213.77