Academic SeminarOn the Extension of the Uniform Rule to More Than One Commodity: Existence and Maximality Results
- Date
- 2018-12-05 ~ 2018-12-05
- Place
- Building 9, 7th #9705
- Department
- School of Management Engineering
We would like to invite you to participate in Management Engineering (ME) Seminar.
1. When: December 5th (Wednesday), 16:00 ~ 17:30
2. Where: Building 9, 7th Floor, #9705
3. Speaker: Prof. Wonki Jo Cho (Korea University)
4. Topic: On the Extension of the Uniform Rule to More Than One Commodity: Existence and Maximality Results
5. Research field: Managerial Economics
* Lecture will be delivered in Korean.
* Seminar materials: Attachment
Abstract:
We study the problem of allocating a bundle of non-disposable, infinitely divisible commodities among a group of agents with multi-dimensional single-peaked preferences, working with several definitions which generalize peak-separable single-peakedness, a concept that has been considered by previous writers. We establish conditions under which one-dimensional rules, most notably, the uniform rule, can be extended to that setting and conditions under which single-valuedness is preserved. Also, weakening one of the two requirements of peak-separable single-peakedness at a time, we identify four maximal domains of preferences for commodity-wise same-sidedness, no-envy (and equal treatment of equals in physical terms) and strategy-proofness.