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研究生: 陳學
Chen, Xue
論文名稱: 機場問題核心解的非合作刻畫
A non-cooperative View of the Core 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: 2014
畢業學年度: 102
語文別: 中文
論文頁數: 22
中文關鍵詞: 機場問題核心解子賽局完美納什均衡納什均衡
外文關鍵詞: airport problem, core, subgame perfect equilibrium, Nash equilibrium
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  • 機場問題探討的是多家航空公司共建一條跑道的成本分配問題。本文的目的是對機場問題的核心解提出非合作刻畫。我們設計了兩個模型。模型一能夠解釋不包含邊界點的核心解。在模型二中,我們證明核心解是其唯一的納什均衡結果。

    SUMMARY
    The airport problem considers how to allocate the cost of an airstrip among several airlines that use the airstrip in common. The core is one of solution concepts for airport problems. Each allocation in the core is stable. That is, it cannot be improved by any subcoalition of airlines. The aim of this paper is to propose two non-cooperative foundations of the core for airport problems. We can design non-cooperative games for airlines in which they divide the costs of building runways. If the game rules are reasonable, the agents would participate the games. When the set of equilibrium outcomes of the game coincides with the core, we can confirm that the core can be interpreted strategically. We provide two models in this paper. The first model supports the core without boundary. We show the set of all Nash equilibrium outcomes of model 2 coincides with the core.

    目錄 第一章 緒論 1 第一節 研究動機 1 第二節 文獻回顧 2 第二章 符號以及假設 4 第一節 機場問題 4 第二節 法則 5 第三節 縮減問題 6 第三章 模型(一) 7 第一節 模型設定 7 第二節 存在性證明 9 第三節 唯一性證明 13 第四章 模型(二)——core解非合作刻畫 15 第一節 模型設計 15 第二節 存在性證明 16 第三節 唯一性證明 19 參考文獻 21

    參考文獻
    劉沛君,2013,“機場問題核心解之刻畫”,國立成功大學經濟研究所碩士論文
    Hu C.-C.,Tsay M.-H.,Yeh C.-H.,2011,“Reduced problems and strategic justifications in the airport problem”,Working paper

    Littlechild S.C.,Owen G,1973,“A simple expression for the Shapley value in a special case”,Management Science,vol.20,issue 3,pp.370-372

    Maskin E,1977,“Nash equilibrium and welfare optimality”,mimeo,MIT

    Potters J and Sudho ̈lter P,1999,“Airport problems and consistent solution Rules”,Mathmatical Social Science,vol. 38,issue 1,pp.83-102

    Peleg B,1986,“On the reduced game property and its converse”,International Journal of Game Theory,vol.15,issue 3,pp.187-200

    Serrano R,1995,“Strategic bargaining surplus sharing problems and the nucleolus”,Journal of mathematical Economics 24,pp.319-329

    Serrano R and Vohra R,1997,“Non-cooperative implementation of the core”,Social Choice and Welfare 14,pp.513-525

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