Bribe-proofness for single-peaked preferences: characterizations and maximality-of-domains results

Bribe-proofness for single-peaked preferences: characterizations and maximality-of-domains results This paper considers the problem of allocating an amount of a perfectly divisible resource among agents. We are interested in rules eliminating the possibility that an agent can compensate another to misrepresent her preferences, making both agents strictly better off. Such rules are said to be bribe-proof (Schummer in J Econ Theory 91:180–198, 2000). We first provide necessary and sufficient conditions for any rule defined on the single-peaked domain to be bribe-proof. By invoking this and Ching’s (Soc Choice Welf 11:131–136, 1994) result, we obtain the uniform rule as the unique bribe-proof and symmetric rule on the single-peaked domain. Furthermore, we examine how large a domain can be to allow for the existence of bribe-proof and symmetric rules and show that the convex domain is such a unique maximal domain. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Social Choice and Welfare Springer Journals

Bribe-proofness for single-peaked preferences: characterizations and maximality-of-domains results

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Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2017 by Springer-Verlag GmbH Germany
Subject
Economics; Economic Theory/Quantitative Economics/Mathematical Methods; Public Finance; International Political Economy; Game Theory, Economics, Social and Behav. Sciences; Social Policy
ISSN
0176-1714
eISSN
1432-217X
D.O.I.
10.1007/s00355-017-1068-2
Publisher site
See Article on Publisher Site

Abstract

This paper considers the problem of allocating an amount of a perfectly divisible resource among agents. We are interested in rules eliminating the possibility that an agent can compensate another to misrepresent her preferences, making both agents strictly better off. Such rules are said to be bribe-proof (Schummer in J Econ Theory 91:180–198, 2000). We first provide necessary and sufficient conditions for any rule defined on the single-peaked domain to be bribe-proof. By invoking this and Ching’s (Soc Choice Welf 11:131–136, 1994) result, we obtain the uniform rule as the unique bribe-proof and symmetric rule on the single-peaked domain. Furthermore, we examine how large a domain can be to allow for the existence of bribe-proof and symmetric rules and show that the convex domain is such a unique maximal domain.

Journal

Social Choice and WelfareSpringer Journals

Published: Jul 7, 2017

References

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