An alternative characterization of the uniform rule
β Scribed by Stephen Ching
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 378 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0176-1714
No coin nor oath required. For personal study only.
β¦ Synopsis
We consider the problem of allocating some amount of a commodity among a group of agents with single-peaked preferences. We show that the uniform rule is the only rule satisfying equal treatment of equals, Pareto efficiency, and strategy-proofness. This characterization strengthens two interesting results due to Sprumont (1991). Our method of proof involves only elementary arguments.
π SIMILAR VOLUMES
One of the results of GroΓ and Trenkler [Linear Algebra Appl. 264 (1997) 463] asserts that a square complex matrix K is a generalized projector if and only if it is (i) quadripotent, (ii) normal, and (iii) partial isometry. The authors supplemented this statement by proving that condition (iii) in t