Title
Truthful implementation and preference aggregation in restricted domains.
Abstract
In a setting where agents have quasi-linear utilities over social alternatives and a transferable commodity, we consider three properties that a social choice function may possess: truthful implementation (in dominant strategies); monotonicity in differences; and lexicographic affine maximization. We introduce the notion of a flexible domain of preferences that allows elevation of pairs and study which of these conditions implies which others in such domain. We provide a generalization of the theorem of Roberts (1979) [36] in restricted valuation domains. Flexibility holds (and the theorem is not vacuous) if the domain of valuation profiles is restricted to the space of continuous functions defined on a compact metric space, or the space of piecewise linear functions defined on an affine space, or the space of smooth functions defined on a compact differentiable manifold. We provide applications of our results to public goods allocation settings, with finite and infinite alternative sets.
Year
DOI
Venue
2013
10.1016/j.jet.2012.11.001
Journal of Economic Theory
Keywords
DocType
Volume
C72,D70,D82
Journal
148
Issue
ISSN
Citations 
3
0022-0531
8
PageRank 
References 
Authors
0.60
10
3
Name
Order
Citations
PageRank
Juan Carlos Carbajal1172.37
Andrew McLennan2405.20
Rabee Tourky3395.89