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| 研究生： |
高天 Gao, Tian |
|---|---|
| 論文名稱： |
關於核仁解和Slack Maximizer法則一致性的證明 On the Coincidence of the Nucleolus and the Slack Maximizer Rule |
| 指導教授： |
胡政成
Hu, Cheng-Cheng |
| 學位類別： |
碩士 Master |
| 系所名稱： |
社會科學院 - 經濟學系 Department of Economics |
| 論文出版年： | 2015 |
| 畢業學年度： | 103 |
| 語文別： | 英文 |
| 論文頁數： | 10 |
| 中文關鍵詞： | 機場問題；核仁解；slack maximizer法則；一致性 |
| 外文關鍵詞： | nucleolus, slack maximizer, consistency |
| 相關次數： | 點閱：62 下載：1 |
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機場問題討論機場跑道的營造成本分配，賽局學家的任務便是提出成本分配方法並研究這些方法的特性。核仁解和slack maximizer法則是機場問題的兩個成本分配方法。本文所要研究的是這兩個方法的一致性。
Allocations for airport problems are required to satisfy non-negativity and no-subsidy. The slack maximizer rule selects the allocation keeping the longest distance in the lexicographic maximin manner from violating both requirements (Thomson, 2015). The nucleolus is another famous rule for airport problems. It maximizes the welfare lexicographically. In the paper, we show that the nucleolus coincides with the slack maximizer rule.
[1] Littlechild, S.C., Owen, G., 1973. A simple expression for the Shapley value in a special case. Management Science 3, 370-372.
[2] Littlechild, S. C., 1974. A simple expression for the nucleolus in a special case. International Journal of Game Theory 3, 21-29.
[3] Potters, J., and Sudhölter, P., 1999. Airport problems and consistent allocation rules. Mathematical Social Sciences 38, 83-102.
[4] Schmeidler, D., 1969. The nucleolus of a characteristic function games. SIAM Journal on Applied Mathematics 17, 1163-1170.
[5] Sönmez, T., 1994. Population monotonicity of the nucleolus on a class of public good problems. Mimeo
[6] Thomson, W., 2015. Cost allocation and airport problems. Mimeo, University of Rochester, Rochester, NY, USA.
校內：2020-07-23公開校外：不公開