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研究生: 洪大哲
Hung, Ta-Tse
論文名稱: 機場問題上限制比例法的非合作解釋
A noncooperative Interpretation of the Constrained Proportional 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: 2023
畢業學年度: 111
語文別: 英文
論文頁數: 14
中文關鍵詞: 機場問題限制比例法子賽局均衡
外文關鍵詞: airport problem, constrained proportional rule, subgame perfect equilibrium
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  • 本文參考了 Thomson (2014) 中提到的限制比例法(The constrained proportional (CP) rule)來分攤成本,並使用Nash program的方式來證明其合理性。我們設計了每個人建造機場跑道的策略組合,根據此策略組合能得到限制比例法的結果,若根據子賽局均衡,所有人都無法透過改變自己的策略來得到更好的結果,則限制比例法會是其唯一的分攤方式。

    We considered the constrained proportional (CP) rule mentioned in Thomson (2014) to allocate costs and used the Nash program to prove its rationality. We designed a strategy for each agent, and we can obtain the result of constrained proportional rule by following the strategy. If no one can be better off by the subgame perfect equilibrium, then the allocation suggested by the constrained proportional rule is the unique solution.

    Definitions 1 Existence of the subgame perfect equilibrium 3 Uniqueness of SPEs’ outcome 10 References 14

    Min-Hung Tsay, Chun-Hsien Yeh, 2019. Relations among the central rules in bankruptcy problems: A strategic perspective. Games and Economic Behavior 113, 515–532.
    Sergiu Hart, Andreu Mas-Colell, 1996. Bargaining and Value. Econometrica, Volume 64, 357-380.
    William Thomson, 2014. Cost allocation and airport problems. Working paper.

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