Title
Range convexity, continuity, and strategy-proofness of voting schemes
Abstract
A voting scheme assigns to each profile of alternatives reported byn individuals a compromise alternative. A voting scheme is strategy-proof if no individual is better off by lying, i.e., not reporting a best alternative. In this paper the main results concern the case where the set of alternatives is the Euclidean plane and the preferences are Euclidean. It is shown that for strategy-proof voting schemes continuity is equivalent to convexity of the range of the voting scheme. Using a result by Kim and Roush (1984), this leads to characterizations of surjective or unanimous, anonymous, strategy-proof voting schemes.
Year
DOI
Venue
1993
10.1007/BF01414216
Math. Meth. of OR
Keywords
Field
DocType
publication
Mathematical economics,Arrow's impossibility theorem,Convexity,Voting,Anti-plurality voting,Cardinal voting systems,Compromise,Mathematics,Surjective function,Condorcet method
Journal
Volume
Issue
Citations 
38
2
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Hans Peters13921.55
Hans van der Stel221.70
Ton Storcken34412.49