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研究生: 張獻文
CHANG, HSIEN-WEN
論文名稱: 機場問題Talmud法則之刻劃
Axiomatizations of the Talmud rule for airport problems
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: 2013
畢業學年度: 101
語文別: 中文
論文頁數: 24
中文關鍵詞: 機場問題公設化Talmud法則
外文關鍵詞: airport problems, axiomatization, the Talmud rule
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  • 探討機場問題中,數家航空公司合作建造飛機跑道,而跑道成本該如何分攤。本篇文章利用Talmud法則作跑道成本分配的法則,並以Hu et al. (2011) 和Yeh (2007) 文章中提及的公設刻劃Talmud法則並探討其刻劃公設之間的獨立性。

    We consider the “airport problems”, which is concerned with sharing the cost of an airstrip used by different airlines. The Talmud rule is an allocation method for bankruptcy problems. In the paper, we use it to be an allocation method for airport problems. Hu et al. (2011) and Yeh (2007) mentioned some axioms and we use them to characterize the Talmud rule for airport problems. We also show that the axioms used in the characterizations of the Talmud rule are independent.

    目錄 第一章 緒論和文獻回顧.......................1 第一節 研究背景與研究目的....................1 第二節 文獻回顧............................2 第二章 模型設定及機場問題分配法則.............3 第一節 符號介紹............................3 第二節 法則介紹............................4 第三章 TAL法則之刻劃公設及其獨立性的探討.......7 第一節 公設介紹............................7 第二節 TAL法則之刻劃.......................9 第三節 TAL法則之刻劃公設之獨立性............15 參考文獻...................................24 表目錄 表1-1 TAL法則解決破產問題例子................1 表1-2 TAL法則刻劃公設之獨立性之一............22 表1-3 TAL法則刻劃公設之獨立性之二............22 表1-4 TAL法則刻劃公設之獨立性之三............22 表1-5 TAL法則刻劃公設之獨立性之四............23

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    Moreno-Ternero, J.D., Villar, A., 2004. The Talmud rule and the securement of creditors’ awards. Mathematical Social Science 47, 245-257.

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    Potters, J., Sudhölter, P., 1999. Airport problems and consistent allocation rules. Math. Soc. Sci. 38, 83-102.

    Thomson, W., 2007. Cost allocation and airport problems, Mimeo, University of Rochester, NY, USA.

    Thomson, W., 2010. Consistent allocation rules. Mimeo, University of Rochester, Rochester, NY, USA.

    Yeh, c,-h., 2007. Secured lower bound, composition up, and minimal rights first for bankruptcy problems. Journal of Mathematical Economics. 44, 925–932.

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