Abstract
We consider private good economies with single-peaked preferences. We show that the uniform rule is the only allocation rule satisfying Ω-continuity, no-envy, and one-sided resource-monotonicity. This result strengthens a characterization of the uniform rule due to Thomson (Soc Choice Welf 11:205–223, 1994).
Article PDF
Similar content being viewed by others
References
Barberà S, Jackson M, Neme A (1997) Strategy-proof allotment rules. Games Econ Behav 18: 1–21
Benassy JP (1982) The economies of market disequilibrium. Academic Press, San Diego
Ching S (1992) A simple characterization of the uniform rule. Econ Lett 40: 57–60
Ching S (1994) An alternative characterization of the uniform rule. Soc Choice Welf 11: 131–136
Ehlers L (2000) Indifference and the uniform rule. Econ Lett 67: 303–308
Ehlers L (2002a) Resource-monotonic allocation when preferences are single-peaked. Econ Theory 20: 113–131
Ehlers L (2002b) On fixed-path rationing methods. J Econ Theory 106: 472–477
Ehlers L (2002c) Strategy-proof allocation when preferences are single-plateaued. Rev Econ Design 7: 105–115
Moulin H (1999) Rationing a commodity along fixed paths. J Econ Theory 84: 41–72
Sönmez T (1994) Consistency, monotonicity, and the uniform rule. Econ Lett 46: 229–235
Sprumont Y (1991) The division problem with single-peaked preferences: a characterization of the uniform allocation rule. Econometrica 59: 509–519
Thomson W (1994) Resource-monotonic solutions to the problem of fair division when preferences are single-peaked. Soc Choice Welf 11: 205–223
Author information
Authors and Affiliations
Corresponding author
Additional information
I am grateful to an anonymous referee for his detailed comments and suggestions and to the SSHRC (Canada) and the FQRSC (Québec) for financial support.
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Ehlers, L. A characterization of the uniform rule without Pareto-optimality. SERIEs 2, 447–452 (2011). https://doi.org/10.1007/s13209-011-0038-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13209-011-0038-7