A theorem on utilitarian redistribution
β Scribed by Johann K. Brunner
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 290 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0176-1714
No coin nor oath required. For personal study only.
β¦ Synopsis
A theorem is presented which characterizes regions where the marginal utilities of most goods decrease with increasing utility, given non-inferiority of one good and a strictly concave utility function. An analysis of the optimum utilitarian tax rests on this result. * I am grateful to Josef Falkinger and Bengt-Arne Wickstr6m for helpful comments. A previous version of the paper was written when the author visited Oxford University, Wolfson College.
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Suppose we are given a family of sets W= {S(j), jgJ}, where S(j)= n;=, Hi( j), and suppose each collection of sets H,(j,), . . . . H,(j,+,) has a lower bound under the partial ordering defined by inclusion, then the maximal size of an independent subcollection of 'Z is k. For example, for a fixed co