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An alternative characterization of the uniform rule

✍ Scribed by Stephen Ching


Publisher
Springer
Year
1994
Tongue
English
Weight
378 KB
Volume
11
Category
Article
ISSN
0176-1714

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✦ 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.


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One of the results of Groß 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